Question

How does the graph of f(x) = 3 cos(½x)-5 differ from the graph ofg(x) = 3 cos(x) - 5 ?A. The graph of f(x) is compressed horizontally.B. The graph of f(x) is compressed vertically.C. The graph of f(x) is stretched vertically.O D. The graph of f(x) is stretched horizontally.

Answer 1

D. The graph of f(x) is stretched horizontally.

Step-by-step explanation:

Given the parent function g(x) defined as follows:

`g\mleft(x\mright)=3cos\mleft(x\mright)-5`

If we stretch g(x) horizontally by 2, we have the function:

`f(x)=3\cos ((1)/(2)x)-5`

The correct choice is D.