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 Graphing sinusoidal functions 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 Graphing sinusoidal functions 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/algebra2/x2ec2f6f830c9fb89:trig/x2ec2f6f830c9fb89:graphing-sinusoid/v/trig-function-equation 2021-06-30T17:32:35Z Sinusoidal function from graph Sal finds the equation of a sinusoidal function from its graph where the minimum point (-2,-5) and the maximum point (2,1) are highlighted. Sal Khan video https://cdn.kastatic.org/googleusercontent/Dd5mfHS2gY6E8bs0npqAYllXAqhIx8rroKLBCPGcwVfTABH8w1VThJEGoFyErKUmFRhKySj9MKfqpenfjfgJEwl4 Sinusoidal function from graph Sal finds the equation of a sinusoidal function from its graph where the minimum point (-2,-5) and the maximum point (2,1) are highlighted. https://cdn.kastatic.org/ka-youtube-converted/yHo0CcDVHsk.mp4/yHo0CcDVHsk.mp4 322 Graphing sinusoidal functions https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:trig/x2ec2f6f830c9fb89:graphing-sinusoid/e/construct-sinusoidal-functions 2026-06-09T17:40:46.212160686Z Construct sinusoidal functions Given a few features of a sinusoidal function, find its formula. Tomer Gal exercise 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