https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:trig/x2ec2f6f830c9fb89:amp-mid-period/v/midline-amplitude-period 2021-06-30T17:32:35Z Features of sinusoidal functions Sal introduces the main features of sinusoidal functions: midline, amplitude, & period. He shows how these can be found from a sinusoidal function's graph. Sal Khan video https://cdn.kastatic.org/googleusercontent/K51rk7IQrWmkf1bbxD7TVSgLHT_0wbmabaRG2idUF65mErQ0q6Y7kayGy3DiI-A7e22oVDCLxMFIZGmXIXP_KGBu Features of sinusoidal functions Sal introduces the main features of sinusoidal functions: midline, amplitude, & period. He shows how these can be found from a sinusoidal function's graph. https://cdn.kastatic.org/ka-youtube-converted/s4cLM0l1gd4.mp4/s4cLM0l1gd4.mp4 298 Sinusoidal function transformations https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:trig/x2ec2f6f830c9fb89:amp-mid-period/e/midline-of-trig-functions 2023-02-11T00:49:50.919025829Z Midline of sinusoidal functions from graph Given the graph of a sinusoidal function, determine its midline equation. Tomer Gal exercise https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:trig/x2ec2f6f830c9fb89:period/e/find-midline-of-a-sinusoid-from-formula 2026-06-16T16:34:33.656713573Z Midline of sinusoidal functions from equation Given the formula of a sinusoidal function, determine its midline equation. Stacy exercise https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:trig/x2ec2f6f830c9fb89:period/v/we-amplitude-and-period 2021-06-30T17:32:35Z Amplitude & period of sinusoidal functions from equation Sal finds the amplitude and the period of y=-0.5cos(3x). Sal Khan video https://cdn.kastatic.org/googleusercontent/Q_cO0cECN2RcsnBEsF9uj58fsv7ElJrFGRnQCyUt3qBi-hHn4I6khaw6CYCw9an04xHu8HqSvJb8vqrSUq0czYQw Amplitude & period of sinusoidal functions from equation Sal finds the amplitude and the period of y=-0.5cos(3x). https://cdn.kastatic.org/ka-youtube-converted/SBqnRja4CW4.mp4/SBqnRja4CW4.mp4 501 Sinusoidal function transformations https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:trig/x2ec2f6f830c9fb89:amp-mid-period/e/amplitude-of-trig-functions 2023-02-11T00:49:50.919025829Z Amplitude of sinusoidal functions from graph Given the graph of a sinusoidal function, determine its amplitude. Tomer Gal exercise https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:trig/x2ec2f6f830c9fb89:period/e/find-amplitude-of-a-sinusoid-from-formula 2026-06-09T17:40:46.212160686Z Amplitude of sinusoidal functions from equation Given the formula of a sinusoidal function, determine its amplitude. Stacy exercise https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:trig/x2ec2f6f830c9fb89:amp-mid-period/e/period-of-trig-functions 2026-06-11T16:20:38.620728574Z Period of sinusoidal functions from graph Given the graph of a sinusoidal function, determine its period. Tomer Gal exercise https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:trig/x2ec2f6f830c9fb89:period/e/find-period-of-a-sinusoid-from-formula 2024-12-05T04:24:41.885701656Z Period of sinusoidal functions from equation Given the formula of a sinusoidal function, determine its period. Stacy exercise https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:trig/x2ec2f6f830c9fb89:graphing-sinusoid/v/example-graphing-y-3sin-x-2 2022-10-06T23:23:50.639907812Z Example: Graphing y=3⋅sin(½⋅x)-2 Sal graphs y=3⋅sin(½⋅x)-2 by thinking about the graph of y=sin(x) and analyzing how the graph (including the midline, amplitude, and period) changes as we perform function transformations to get from y=sin(x) to y=3⋅sin(½⋅x)-2. Sal Khan video https://cdn.kastatic.org/ka_thumbnails_cache/6d157411-8c57-4ae3-9b46-4d1317b04537_1280_720_base.png Example: Graphing y=3⋅sin(½⋅x)-2 Sal graphs y=3⋅sin(½⋅x)-2 by thinking about the graph of y=sin(x) and analyzing how the graph (including the midline, amplitude, and period) changes as we perform function transformations to get from y=sin(x) to y=3⋅sin(½⋅x)-2. https://cdn.kastatic.org/ka-youtube-converted/-Si4W4KyeMw.mp4/-Si4W4KyeMw.mp4 203 Sinusoidal function transformations https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:trig/x2ec2f6f830c9fb89:graphing-sinusoid/v/example-graphing-y-cos-x-1-5 2022-10-06T23:23:50.639907812Z Example: Graphing y=-cos(π⋅x)+1.5 Sal graphs y=-cos(π⋅x)+1.5 by thinking about the graph of y=cos(x) and analyzing how the graph (including the midline, amplitude, and period) changes as we perform function transformations to get from y=cos(x) to y=-cos(π⋅x)+1.5. Sal Khan video https://cdn.kastatic.org/ka_thumbnails_cache/c4785b3b-1c13-4511-abb2-d6de9a573b03_1280_720_base.png Example: Graphing y=-cos(π⋅x)+1.5 Sal graphs y=-cos(π⋅x)+1.5 by thinking about the graph of y=cos(x) and analyzing how the graph (including the midline, amplitude, and period) changes as we perform function transformations to get from y=cos(x) to y=-cos(π⋅x)+1.5. https://cdn.kastatic.org/ka-youtube-converted/9XtCWJmKF28.mp4/9XtCWJmKF28.mp4 190 Sinusoidal function transformations https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:trig/x2ec2f6f830c9fb89:graphing-sinusoid/e/graphs_of_sine_and_cosine 2026-06-11T16:20:38.620728574Z Graph sinusoidal functions Given the formula of a sinusoidal function of the form a*f(bx)+d, draw its graph. Tomer Gal exercise https://www.khanacademy.org/math/ap-precalculus/xe322600f784e4778:trigonometric-and-polar-functions/xe322600f784e4778:sinusoidal-function-transformations/v/graphing-sinusoidal-functions-with-phase-shifts-ap-precalculus-khan-academy 2026-06-26T18:30:50.997824794Z Graphing sinusoidal functions with transformations Graph a sine function that has multiple transformations, including a phase shift. Sal Khan video https://cdn.kastatic.org/ka_thumbnails_cache/5f093f22-ef59-4ea9-9c43-3a89b9e3d3f2_1280_720_base.png Graphing sinusoidal functions with transformations Graph a sine function that has multiple transformations, including a phase shift. https://cdn.kastatic.org/ka-youtube-converted/QnuCfZD2Xyw.mp4/QnuCfZD2Xyw.mp4 290 Sinusoidal function transformations https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:trig/x2ec2f6f830c9fb89:graphing-sinusoid/e/graphs-of-trigonometric-functions 2026-06-26T19:09:02.853164112Z Graph sinusoidal functions: phase shift Given the formula of a sinusoidal function of the form a*f(bx+c)+d, draw its graph. pstinchcombe exercise