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 = (2\pi)/(b)`

`2\pi = (2\pi)/(b)`

`b = (2\pi)/(2\pi) = 1`

`y = 3cos(x)`