Question

Enter the equation for the graph.
y = [?] cos([ ]x)
Enter

Answer 1

$y = 3cos(x)$

Since we observe no vertical or horizontal shifts, we can say that:

$y = acos(bx)$

Since the range of the function is multiplied by 3:

$= > a = 3$

$y = 3 \cos(bx)$

Since we observe a period of 2π for the function to repeat itself:

$t = \frac{2\pi}{b}$

$2\pi = \frac{2\pi}{b}$

$b = \frac{2\pi}{2\pi} = 1$

$y = 3cos(x)$