Question

Consider the graph of function g.

If f(x) = x2, which equation represents function g?

A. g(x)=f(2x)
B. g(x)=f(4x)
C. g(x)=2f(x)
D. g(x)=f(1/2x)

Answer 1

The answer is B
Bc gn hghgghb

Answer 2

FOR PLATO USERS

The answer is D. g(x) = f(1/2x)

Explanation:

A graph with f(x) = x^2 starts at point zero, just like the picture shown below, so we can only predict that the new function was stretched horizontally. The parent function, f(x) = x^2, has the following points

`\left[\begin{array}{ccc}x&&y\\1&&1\\2&&4\end{array}\right]`

terrible table i know (pretend its a table chart) but these are the points of a normal f(x) graph. The points of the NEW graph is:

`\left[\begin{array}{ccc}x&&y\\2&&1\\4&&4\end{array}\right]`

It appears that the x values in the parent function table are half of the x values in the new graph table. So, the new function would be

`g(x)=f((1)/(2) x)`

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