Question

Function g is defined as g(x)=f (1/2x) what is the graph of g?

Answer 1

Answer:

D.

Explanation

We know that g(x) = f(1/2x)

Additionally, the graph of f(x) passes through the point (-2, 0) and (2, 0).

It means that f(-2) = 0 and f(2) = 0

Then, g(-4) = 0 and g(4) = 0 because

$\begin{gathered} g(x)=f(\frac{1}{2}x_{}) \\ g(-4)=f(\frac{1}{2}\cdot-4)=f(-2)=0 \\ g(4)=g(\frac{1}{2}\cdot4)=f(2)=0 \end{gathered}$

Therefore, the graph of g(x) will pass through the points (-4, 0) and (4, 0). Since option D. satisfies this condition, the answer is graph D.