https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:untitled-1082/v/simple-quadratic-equation 2021-06-30T17:32:39Z Solving quadratics by taking square roots Sal solves the equation 2x^2+3=75 by isolating x^2 and taking the square root of both sides. Sal Khan video https://cdn.kastatic.org/googleusercontent/yWf29VjN1FQyCVokHPAvjyr7a49zpl9CWatyRRkUZmB2zeD4FK1Wl2yQYP9qLuoOAphF_b7DlchY4U2B7ZdIyBYf Solving quadratics by taking square roots Sal solves the equation 2x^2+3=75 by isolating x^2 and taking the square root of both sides. https://cdn.kastatic.org/ka-youtube-converted/RweAgQwLdMs.mp4/RweAgQwLdMs.mp4 138 Solving quadratic equations and functions https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:untitled-1082/e/solve-quadratics-by-taking-square-roots-intro 2021-07-08T21:56:39Z Quadratics by taking square roots (intro) Solve simple quadratic equations by taking the square root of both sides of the equation. Tomer Gal exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:untitled-1082/a/solving-quadratic-equations-by-taking-square-roots 2021-12-16T15:37:07.463764128Z Solving quadratics by taking square roots Learn how to solve quadratic equations like x^2=36 or (x-2)^2=49. article https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:untitled-1082/v/solving-quadratics-by-taking-square-roots 2022-10-06T23:01:00.745424633Z Solving quadratics by taking square roots examples Sal solves the equation (x+3)²-4=0 and finds the x-intercepts of f(x)=(x-2)²-9. video https://cdn.kastatic.org/ka_thumbnails_cache/aa5db89d-3db4-43f4-8a80-c766c8298b23_1280_720_base.png Solving quadratics by taking square roots examples Sal solves the equation (x+3)²-4=0 and finds the x-intercepts of f(x)=(x-2)²-9. https://cdn.kastatic.org/ka-youtube-converted/VTlvg4wJ1X0.mp4/VTlvg4wJ1X0.mp4 312 Solving quadratic equations and functions https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:untitled-1082/v/order-of-steps-exercise-example 2021-07-03T04:45:07Z Solving quadratics by taking square roots: with steps Sal discusses the exact order of steps in the process of solving the equation 3(x+6)^2=75. Sal Khan video https://cdn.kastatic.org/googleusercontent/Ika8CfZq3EQADYV4LD74U3B5v4UdpvCaSgDiJcD09qIDbsT1OqtlmxtoXlcwDUoKdyDcaUHVa7NvxYA7Aod5JZdH Solving quadratics by taking square roots: with steps Sal discusses the exact order of steps in the process of solving the equation 3(x+6)^2=75. https://cdn.kastatic.org/ka-youtube-converted/naVFTNWVlQU.mp4/naVFTNWVlQU.mp4 265 Solving quadratic equations and functions https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:untitled-1082/e/solving_quadratics_by_taking_the_square_root 2021-08-05T05:39:12.794526445Z Quadratics by taking square roots Solve quadratic equations of the form (x+a)²-b=0. These can be solved using square roots. For example, solve (x-5)²-4=0. Tomer Gal exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:untitled-1082/v/determining-mistakes-in-steps-example 2021-06-30T17:32:34Z Quadratics by taking square roots: strategy Sal analyzes a given solution of a quadratic equation, and finds where and what was the error in that process. Sal Khan video https://cdn.kastatic.org/googleusercontent/drMZpLfmtPpYf_DCZKiZK2uHV3oPrRcV8PbR6yzkfSaGaOB15e6NnZ-5A7SoetJiSLLz35fCM5U4srQNpfmLN90 Quadratics by taking square roots: strategy Sal analyzes a given solution of a quadratic equation, and finds where and what was the error in that process. https://cdn.kastatic.org/ka-youtube-converted/jtPvDycHVQw.mp4/jtPvDycHVQw.mp4 105 Solving quadratic equations and functions https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:untitled-1082/e/understanding-the-equation-solving-process 2023-12-12T00:32:03.629852833Z Quadratics by taking square roots: strategy Analyze the process of solving a quadratic equation by taking the square root. Tomer Gal exercise https://www.khanacademy.org/math/algebra-home/alg-quadratics/alg-quadratics-square-root/v/solving-quadratic-equations-by-square-roots 2021-06-25T18:05:36Z Solving quadratics by taking square roots: challenge Sal solves challenging quadratic equations like (4x+1)²-8=0 by taking the square root of both sides. Sal Khan video https://cdn.kastatic.org/googleusercontent/nSVd9UJbSIEo1FT1MLHZI5s_EFmzLEoDL8Fwsm1xUXXUn6v_-myhvCqYyWlpv2K8OZvHMaivjJWc6MBpqQjwNt4 Solving quadratics by taking square roots: challenge Sal solves challenging quadratic equations like (4x+1)²-8=0 by taking the square root of both sides. https://cdn.kastatic.org/ka-youtube-converted/55G8037gsKY.mp4/55G8037gsKY.mp4 663 Solving quadratic equations and functions https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:untitled-1082/a/solving-simple-quadratics-review 2021-06-30T17:32:37Z Solving simple quadratics review Simple quadratic equations like x^2=4 can be solved by taking the square root. This article reviews several examples and gives you a chance to practice on your own. article https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:factored-form-quadratics/v/zero-product-property 2021-06-30T17:32:38Z Zero product property The zero product property states that if a⋅b=0 then either a or b equal zero. This basic property helps us solve equations like (x+2)(x-5)=0. video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Zero product property The zero product property states that if a⋅b=0 then either a or b equal zero. This basic property helps us solve equations like (x+2)(x-5)=0. https://cdn.kastatic.org/ka-youtube-converted/-lWVpoPaPBc.mp4/-lWVpoPaPBc.mp4 437 Solving quadratic equations and functions https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:factored-form-quadratics/e/zero-product-property 2025-12-18T03:21:14.598936433Z Zero product property Use the zero product property to solve quadratic equations. For example, solve (x-5)(x+2)=0. Tomer Gal exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:completing-square-quadratics/v/solving-quadratic-equations-by-completing-the-square 2021-06-30T17:32:40Z Completing the square Some quadratic expressions can be factored as perfect squares. For example, x²+6x+9=(x+3)². However, even if an expression isn't a perfect square, we can turn it into one by adding a constant number. For example, x²+6x+5 isn't a perfect square, but if we add 4 we get (x+3)². This, in essence, is the method of *completing the square* Sal Khan video https://cdn.kastatic.org/googleusercontent/21D9W6Ar02QOFUD04nwNqQWkMGs_P0mXTmgQ6OxvZu6ArMLD__sLMOQVPkjmMPeDYXPDmK9lFwncADaVJkrg0XNc Completing the square Some quadratic expressions can be factored as perfect squares. For example, x²+6x+9=(x+3)². However, even if an expression isn't a perfect square, we can turn it into one by adding a constant number. For example, x²+6x+5 isn't a perfect square, but if we add 4 we get (x+3)². This, in essence, is the method of *completing the square* https://cdn.kastatic.org/ka-youtube-converted/bNQY0z76M5A.mp4/bNQY0z76M5A.mp4 846 Solving quadratic equations and functions https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:more-on-completing-square/a/solving-quadratic-equations-by-completing-the-square 2023-11-10T19:13:09.242227712Z Solving quadratics by completing the square For example, solve x²+6x=-2 by manipulating it into (x+3)²=7 and then taking the square root. article https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:quadratics-solve-factoring/v/example-1-solving-a-quadratic-equation-by-factoring 2021-06-30T17:32:40Z Solving quadratics by factoring Sal solves the equation s^2-2s-35=0 by factoring the expression on the left as (s+5)(s-7) and finding the s-values that make each factor equal to zero. Sal Khan video https://cdn.kastatic.org/googleusercontent/mBWoklRZu1xlpBhspa-dE7rzmauiirDmsLuPPt-ukn3yDgJylIVWl74IZ96JpoelpPMBfbqp89NrI8ypPt6I8jQy Solving quadratics by factoring Sal solves the equation s^2-2s-35=0 by factoring the expression on the left as (s+5)(s-7) and finding the s-values that make each factor equal to zero. https://cdn.kastatic.org/ka-youtube-converted/2ZzuZvz33X0.mp4/2ZzuZvz33X0.mp4 382 Solving quadratic equations and functions https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:quadratics-solve-factoring/v/solving-quadratics-by-dividing-and-factoring 2022-10-06T23:01:00.745424633Z Solving quadratics by factoring: leading coefficient ≠ 1 Sal solves 6x²-120x+600=0 by first dividing by 6 and then factoring. video https://cdn.kastatic.org/ka_thumbnails_cache/43007ffc-6270-47a0-a5c7-3642cb32dcda_1280_720_base.png Solving quadratics by factoring: leading coefficient ≠ 1 Sal solves 6x²-120x+600=0 by first dividing by 6 and then factoring. https://cdn.kastatic.org/ka-youtube-converted/KbFwLvCOBUI.mp4/KbFwLvCOBUI.mp4 275 Solving quadratic equations and functions https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:quadratics-solve-factoring/v/using-structure-to-solve-quadratics 2022-10-06T23:01:00.745424633Z Solving quadratics using structure Sal solves (2x-3)^2=4x-6 by substituting p for 2x-3 and obtaining the simpler equation p^2=2p. video https://cdn.kastatic.org/ka_thumbnails_cache/b383ce95-2d50-4613-a73f-1e9d05730171_1280_720_base.png Solving quadratics using structure Sal solves (2x-3)^2=4x-6 by substituting p for 2x-3 and obtaining the simpler equation p^2=2p. https://cdn.kastatic.org/ka-youtube-converted/ZIqW_sXymrM.mp4/ZIqW_sXymrM.mp4 235 Solving quadratic equations and functions https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:quadratics-solve-factoring/a/solving-quadratic-equations-by-factoring 2021-06-30T17:32:37Z Solving quadratics by factoring Learn how to solve quadratic equations like (x-1)(x+3)=0 and how to use factorization to solve other forms of equations. article https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:quadratic-formula-a1/v/using-the-quadratic-formula 2021-06-30T17:32:40Z The quadratic formula The quadratic formula helps us solve any quadratic equation. First, we bring the equation to the form ax²+bx+c=0, where a, b, and c are coefficients. Then, we plug these coefficients in the formula: (-b±√(b²-4ac))/(2a) . See examples of using the formula to solve a variety of equations. Sal Khan video https://cdn.kastatic.org/googleusercontent/x7GMr1ACeXuHJxVrjRWD7PnrOmWXP8RdAjYQyJIBuYA1UYmxrOwDqo4u3gWw57OamhGPgBEdToapBY9bOSG2-gbfwA The quadratic formula The quadratic formula helps us solve any quadratic equation. First, we bring the equation to the form ax²+bx+c=0, where a, b, and c are coefficients. Then, we plug these coefficients in the formula: (-b±√(b²-4ac))/(2a) . See examples of using the formula to solve a variety of equations. https://cdn.kastatic.org/ka-youtube-converted/i7idZfS8t8w.mp4/i7idZfS8t8w.mp4 992 Solving quadratic equations and functions https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:quadratic-formula-a1/a/quadratic-formula-explained-article 2021-06-30T17:32:37Z Understanding the quadratic formula Gain more insight into the quadratic formula and how it is used in quadratic equations. article https://www.khanacademy.org/math/algebra-home/alg-quadratics/alg-solving-quadratics-using-the-quadratic-formula/v/quadratic-formula-1 2020-12-28T16:56:57Z Using the quadratic formula Sal solves the equation -7q^2+2q+9=0 by using the quadratic formula. Sal Khan video https://cdn.kastatic.org/googleusercontent/tZMTVzN0y2tlmYdLaoJmele9TZlxFTSDY-7JMadzMbAb0hipx6Rcqqvis4n2E2G4SP5N2bLcWICq9uqIeL0IcwyGwQ Using the quadratic formula Sal solves the equation -7q^2+2q+9=0 by using the quadratic formula. https://cdn.kastatic.org/ka-youtube-converted/iulx0z1lz8M.mp4/iulx0z1lz8M.mp4 334 Solving quadratic equations and functions https://www.khanacademy.org/math/algebra-home/alg-quadratics/alg-solving-quadratics-using-the-quadratic-formula/v/quadratic-equations-in-standard-form 2020-12-28T16:56:57Z Worked example: quadratic formula Solving 6x²+3=2x-6 by rewriting in standard form and identifying the parameters a, b, and c, that can be used within the quadratic formula. Sal Khan video https://cdn.kastatic.org/googleusercontent/Xaj-daSLMDC1OjVEAWRMT8kckg2Q7YuVbWiqDREi4OR8Wi3vUOZEKA9Qu3DtVS-0CtMVyj_eEQYvL4_2o8mOdbdglg Worked example: quadratic formula Solving 6x²+3=2x-6 by rewriting in standard form and identifying the parameters a, b, and c, that can be used within the quadratic formula. https://cdn.kastatic.org/ka-youtube-converted/ty4Ohya4hdE.mp4/ty4Ohya4hdE.mp4 141 Solving quadratic equations and functions https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:quadratic-formula-a1/v/quadratic-formula-2 2021-06-30T17:32:40Z Worked example: quadratic formula (example 2) Sal solves the equation -x^2+8x=1 by first bringing it to standard form and then using the quadratic formula. Sal Khan video https://cdn.kastatic.org/googleusercontent/V_OTYqvz0Vs_SXee7q3w9pxBm_LI-hlUpJHfTG6ntIEprr8GTNbKgoqDtqNWmVDKyd-2H_yHxAtfS-mm2ltubQRX Worked example: quadratic formula (example 2) Sal solves the equation -x^2+8x=1 by first bringing it to standard form and then using the quadratic formula. https://cdn.kastatic.org/ka-youtube-converted/CLrImGKeuEI.mp4/CLrImGKeuEI.mp4 400 Solving quadratic equations and functions https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:quadratic-formula-a1/v/applying-the-quadratic-formula 2021-06-30T17:32:39Z Worked example: quadratic formula (negative coefficients) Sal solves -3x^2+10x-3=0 by plugging a=-3, b=10, c=-3 in the quadratic formula. Then he multiplies everything by -1 and solves again. The results are the same! Sal Khan video https://cdn.kastatic.org/googleusercontent/VZTEh4UutBXDxjGxuABZwxG9LaMkHXpBkzp-tS4O29i6ZoaXdlORU-fQYqBE1UXKXT06k7vmCsr7ipfTlEoh7Ko Worked example: quadratic formula (negative coefficients) Sal solves -3x^2+10x-3=0 by plugging a=-3, b=10, c=-3 in the quadratic formula. Then he multiplies everything by -1 and solves again. The results are the same! https://cdn.kastatic.org/ka-youtube-converted/_E3gx_yQhHQ.mp4/_E3gx_yQhHQ.mp4 291 Solving quadratic equations and functions https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:quadratic-formula-a1/e/quadratic_equation 2026-04-15T18:50:37.865985546Z Quadratic formula Solve quadratic equations using the quadratic formula. For example, solve -9x+10x²+8=14. exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:quadratic-formula-a1/v/quadratic-formula-3 2021-06-30T17:32:40Z Using the quadratic formula: number of solutions Sal determines how many solutions the equation x²+14x+49=0 has by considering its quadratic formula, and more specifically, its discriminant. Sal Khan video https://cdn.kastatic.org/googleusercontent/tME4PRNM9reIhRtam5gf08p-f3rTVvAUySKkYVhiXETYW2OVGb067h40e5z7ZvPDtCie_-_v3GpBKKAH1CckUb-I Using the quadratic formula: number of solutions Sal determines how many solutions the equation x²+14x+49=0 has by considering its quadratic formula, and more specifically, its discriminant. https://cdn.kastatic.org/ka-youtube-converted/XUvKjC21fYU.mp4/XUvKjC21fYU.mp4 299 Solving quadratic equations and functions https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:quadratic-formula-a1/e/determine-the-number-of-solutions-of-a-quadratic-equation 2025-12-28T12:18:45.238308434Z Number of solutions of quadratic equations Analyze quadratic equations in order to determine how many different real number solutions they have. Tomer Gal exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:quadratic-formula-a1/a/quadratic-formula-review 2021-06-30T17:32:37Z Quadratic formula review The quadratic formula allows us to solve any quadratic equation that's in the form ax^2 + bx + c = 0. This article reviews how to apply the formula. article https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:factored-form-quadratics/v/quadratic-word-problems-factored-form 2021-06-30T17:32:37Z Quadratic word problems (factored form) Solving a problem where a quadratic function (given in factored form) models the height of a launched rocket. video https://cdn.kastatic.org/googleusercontent/ZVxDhi81Y_1RJ_CVdOlF9OgIs3USfuC-_qklFg5mcEAVHWDYowOcEfNEKQdS0giw5OUNXUJFV_5gei7F6VvyDn-H Quadratic word problems (factored form) Solving a problem where a quadratic function (given in factored form) models the height of a launched rocket. https://cdn.kastatic.org/ka-youtube-converted/xVZA6NOQA7A.mp4/xVZA6NOQA7A.mp4 335 Solving quadratic equations and functions https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:factored-form-quadratics/e/quadratic-word-problems-factored-form 2023-12-12T00:32:03.629852833Z Quadratic word problems (factored form) Solve real-world word problems that involve quadratic models. In this exercise, that models are given in factored form. Tomer Gal exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:vertex-form/v/quadratic-word-problems-in-vertex-form 2021-06-30T17:32:37Z Quadratic word problems (vertex form) Given a quadratic function that models the height of an object being launched from a platform, we analyze the function to answer questions like "what is the height of the platform?" or "when does the object reach its maximum height?" video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Quadratic word problems (vertex form) Given a quadratic function that models the height of an object being launched from a platform, we analyze the function to answer questions like "what is the height of the platform?" or "when does the object reach its maximum height?" https://cdn.kastatic.org/ka-youtube-converted/lUA1LYCoIAg.mp4/lUA1LYCoIAg.mp4 423 Solving quadratic equations and functions https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:vertex-form/e/quadratic-word-problems-vertex-form 2023-12-12T00:32:03.629852833Z Quadratic word problems (vertex form) Solve real-world word problems that involve quadratic models. In this exercise, that models are given in vertex form. Tomer Gal exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:standard-form-quadratic/v/application-problem-with-quadratic-formula 2026-06-16T15:55:43.561813682Z Quadratic word problem: ball Sal solves a word problem about a ball being shot in the air. The equation for the height of the ball as a function of time is modeled by a quadratic function. Sal Khan video https://cdn.kastatic.org/googleusercontent/dvyWuNQ8WzVeTAUzYpi9a4ZcD4dvdto9umYIzFqnduWfAOekC-W154fwNxUj9yGJzcgbX1qd08x2RY3KGj4AmPSH Quadratic word problem: ball Sal solves a word problem about a ball being shot in the air. The equation for the height of the ball as a function of time is modeled by a quadratic function. https://cdn.kastatic.org/ka-youtube-converted/OZtqz_xw0SQ.mp4/OZtqz_xw0SQ.mp4 353 Solving quadratic equations and functions https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:standard-form-quadratic/e/key-features-quadratics 2026-06-16T15:55:43.561813682Z Quadratic word problems (standard form) Solve real-world word problems that involve quadratic models. In this exercise, the models are given in standard form. Tomer Gal exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:intro-parabolas/v/interpret-a-quadratic-graph 2022-09-10T01:04:29.754011735Z Interpret a quadratic graph We can interpret what the features of a graph of a quadratic model mean in terms of a given context. Sal Khan video https://cdn.kastatic.org/ka_thumbnails_cache/1b6d92b8-40c3-423e-a252-ea73ea57d438_1280_720_base.png Interpret a quadratic graph We can interpret what the features of a graph of a quadratic model mean in terms of a given context. https://cdn.kastatic.org/ka-youtube-converted/Tqxu53deWCo.mp4/Tqxu53deWCo.mp4 157 Solving quadratic equations and functions https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:quadratic-forms-features/v/interpret-quadratic-models 2022-09-10T01:04:29.754011735Z Interpret quadratic models: Vertex form Given a quadratic function that models a relationship, we can rewrite the function to reveal certain properties of the relationship. Sal Khan video https://cdn.kastatic.org/ka_thumbnails_cache/e268af1e-4465-43ff-ab14-bddce8f28f96_1280_720_base.png Interpret quadratic models: Vertex form Given a quadratic function that models a relationship, we can rewrite the function to reveal certain properties of the relationship. https://cdn.kastatic.org/ka-youtube-converted/JdWEdb90V1s.mp4/JdWEdb90V1s.mp4 353 Solving quadratic equations and functions https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:intro-parabolas/v/interpret-parabola-context 2022-09-10T01:04:29.754011735Z Interpreting a parabola in context Given a parabola that models a context, we can relate key features of the parabola — like the y-intercept, vertex, and x-intercepts — to what they represent in the given context. Sal Khan video https://cdn.kastatic.org/ka_thumbnails_cache/c71966ed-5a6b-4a16-a5ed-2ee3fdb0d844_1280_720_base.png Interpreting a parabola in context Given a parabola that models a context, we can relate key features of the parabola — like the y-intercept, vertex, and x-intercepts — to what they represent in the given context. https://cdn.kastatic.org/ka-youtube-converted/_Bk6XkV9O_0.mp4/_Bk6XkV9O_0.mp4 154 Solving quadratic equations and functions