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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.

Respuesta :

Answer:

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

Explanation:

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

[tex]g\mleft(x\mright)=3cos\mleft(x\mright)-5[/tex]

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

[tex]f(x)=3\cos (\frac{1}{2}x)-5[/tex]

The correct choice is D.

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