https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:intro-parabolas/v/parabolas-intro 2021-05-14T17:03:12Z Parabolas intro Graphs of quadratic functions all have the same shape which we call "parabola." All parabolas have shared characteristics. For example, they are all symmetric about a line that passes through their vertex. This video covers this and other basic facts about parabolas. video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Parabolas intro Graphs of quadratic functions all have the same shape which we call "parabola." All parabolas have shared characteristics. For example, they are all symmetric about a line that passes through their vertex. This video covers this and other basic facts about parabolas. https://cdn.kastatic.org/ka-youtube-converted/BGz3pkoGPag.mp4/BGz3pkoGPag.mp4 494 Parabola https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:conic-sections-ncert-new/x0419e5b3b578592a:parabola/a/parabolas-intro 2021-07-03T00:17:03Z Parabolas intro All graphs of quadratic functions have a similar shape, which we call a parabola. Learn about its main visual features. article https://www.khanacademy.org/math/geometry/xff63fac4:hs-geo-conic-sections/xff63fac4:hs-geo-parabola/v/focus-and-directrix-introduction 2021-04-21T12:01:44Z Intro to focus & directrix A parabola is the set of all points equidistant from a point (called the "focus") and a line (called the "directrix"). See this video to learn more about this. video https://cdn.kastatic.org/googleusercontent/vHEIbri_Ra7d2MGcjent-C6nyMncsnZ_bZrmVsB1k3VSQZfThO4So8QnSbdlsjT_6xg2cjqoS3ZaQEpF0xy_OYid Intro to focus & directrix A parabola is the set of all points equidistant from a point (called the "focus") and a line (called the "directrix"). See this video to learn more about this. https://cdn.kastatic.org/ka-youtube-converted/pe8Dm_FUpdU.mp4/pe8Dm_FUpdU.mp4 247 Parabola https://www.khanacademy.org/math/geometry/xff63fac4:hs-geo-conic-sections/xff63fac4:hs-geo-parabola/v/equation-for-parabola-from-focus-and-directrix 2021-04-21T12:01:44Z Equation of a parabola from focus & directrix The equation of a parabola is derived from the focus and directrix, and then the general formula is used to solve an example. video https://cdn.kastatic.org/googleusercontent/E-dbou6Jw2dQISA_z84rO95zii-A6Xg1Z0p6X2F3Mn0ptl2V5adv0SPNIz9a-JLpoCh9lYmj6Mh1IKo_43AhuBrw Equation of a parabola from focus & directrix The equation of a parabola is derived from the focus and directrix, and then the general formula is used to solve an example. https://cdn.kastatic.org/ka-youtube-converted/okXVhDMuGFg.mp4/okXVhDMuGFg.mp4 588 Parabola https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:conic-sections-ncert-new/x0419e5b3b578592a:parabola/e/standard-equations-of-parabolas 2025-08-08T02:53:40.009522544Z Standard equations of parabolas Standard equations of parabolas Ashish Gupta exercise https://www.khanacademy.org/math/math2/xe2ae2386aa2e13d6:conics/xe2ae2386aa2e13d6:focus-directrix/v/finding-focus-and-directrix-from-vertex 2021-04-21T12:01:44Z Focus & directrix of a parabola from equation Given the parabola equation y-23/4=-1/3(x-1)^2, Sal finds the parabola's focus and directrix using the general formula for a parabola whose focus is (a,b) and directrix is y=k. video https://cdn.kastatic.org/googleusercontent/XdjPbkxSjRS_lFGjYHyg_JSdemU9OBan4SHBbcgfJBq3O_UMvmts2CncowooAxIItMFYEThAiKaDTAxLpg0qrb8 Focus & directrix of a parabola from equation Given the parabola equation y-23/4=-1/3(x-1)^2, Sal finds the parabola's focus and directrix using the general formula for a parabola whose focus is (a,b) and directrix is y=k. https://cdn.kastatic.org/ka-youtube-converted/w56Vuf9tHfA.mp4/w56Vuf9tHfA.mp4 689 Parabola https://www.khanacademy.org/math/geometry/xff63fac4:hs-geo-conic-sections/xff63fac4:hs-geo-parabola/a/parabola-focus-directrix-review 2022-09-10T02:03:40.164764806Z Parabola focus & directrix review Review your knowledge of the focus and directrix of parabolas. article https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:conic-sections-ncert-new/x0419e5b3b578592a:parabola/v/equation-of-a-parabola-using-its-definition 2025-06-01T03:41:19.129224051Z Equation of a parabola using its definition In this video, we derive the standard equation of a parabola, y-squared = 4ax, directly from its definition as the locus of points equidistant from a fixed point (the focus) and a fixed line (the directrix). We will also define the latus rectum of a parabola and explain why its length is 4a. Finally, we'll summarize the four standard equations for parabolas that open to the right, left, upwards, and downwards. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Equation of a parabola using its definition In this video, we derive the standard equation of a parabola, y-squared = 4ax, directly from its definition as the locus of points equidistant from a fixed point (the focus) and a fixed line (the directrix). We will also define the latus rectum of a parabola and explain why its length is 4a. Finally, we'll summarize the four standard equations for parabolas that open to the right, left, upwards, and downwards. https://cdn.kastatic.org/ka-youtube-converted/0CW15AceH_w.mp4/0CW15AceH_w.mp4 362 Parabola https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:conic-sections-ncert-new/x0419e5b3b578592a:parabola/e/equation-of-a-parabola-using-its-definition 2025-08-08T02:53:40.009522544Z Equation of a parabola using its definition Equation of a parabola using its definition Ashish Gupta exercise https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:conic-sections-ncert-new/x0419e5b3b578592a:parabola/v/finding-parts-of-a-parabola-given-the-equation 2025-06-01T03:41:19.129224051Z Finding parts of a parabola given the equation In this video, we learn how to find the coordinates of the focus, the axis, the equation of the directrix, and the length of the latus rectum for various parabolas given their equations. We'll cover standard forms like y-squared equals 4ax, x-squared equals 4ay, and their variations for parabolas opening left, right, up, or down, by working through several examples like y-squared equals 12x and x-squared equals 6y. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Finding parts of a parabola given the equation In this video, we learn how to find the coordinates of the focus, the axis, the equation of the directrix, and the length of the latus rectum for various parabolas given their equations. We'll cover standard forms like y-squared equals 4ax, x-squared equals 4ay, and their variations for parabolas opening left, right, up, or down, by working through several examples like y-squared equals 12x and x-squared equals 6y. https://cdn.kastatic.org/ka-youtube-converted/DU5LIJCZkvo.mp4/DU5LIJCZkvo.mp4 450 Parabola https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:conic-sections-ncert-new/x0419e5b3b578592a:parabola/e/finding-parts-of-a-parabola-given-the-equation 2025-08-08T02:53:40.009522544Z Finding parts of a parabola given the equation Finding parts of a parabola given the equation Ashish Gupta exercise https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:conic-sections-ncert-new/x0419e5b3b578592a:parabola/v/finding-the-equation-of-a-parabola 2025-06-01T03:41:19.129224051Z Finding the equation of a parabola This video demonstrates how to find the equation of a parabola when different conditions are provided. We'll cover scenarios such as when the focus and directrix are given, when the vertex and focus are known, and when the vertex is at the origin, the axis is specified, and the parabola passes through a given point. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Finding the equation of a parabola This video demonstrates how to find the equation of a parabola when different conditions are provided. We'll cover scenarios such as when the focus and directrix are given, when the vertex and focus are known, and when the vertex is at the origin, the axis is specified, and the parabola passes through a given point. https://cdn.kastatic.org/ka-youtube-converted/UHEzwvMiCtU.mp4/UHEzwvMiCtU.mp4 351 Parabola