How do you graph y=4cos(12x)?

1 Answer
Oct 26, 2017

Sketch the graph of y=cosx then stretch by a factor 2 in the x-direction and a factor 4 in the y-direction.

Explanation:

The 12 inside the cosine function causes a stretch of factor 2 in the x-direction and the 4 multiplying the cosine causes a stretch of factor 4 in the y-direction.
graph{y=cosx [-4.07, 8.414, -3.6, 2.64]}
graph{y=cos(x/2) [-4.07, 8.414, -3.6, 2.64]}
graph{y=4cos(x/2) [-4.07, 8.414, -3.6, 2.64]}