Question

F(x)=x^2 what is g(x)

Answer 1

Answer:

C) g(x) = 1/2x²

Step-by-step explanation:

We can see that the vertex of g(x) is the same as that of f(x).  This means that the graph has not been shifted vertically or horizontally.

The graph has been stretched compared to that of f(x).  This is a dilation.  

A dilation by a factor less than 1 stretches the graph; this means it is a fractional dilation factor.

Since the graph passes through (2, 2), we can plug in the x-value:

g(2) = 1/2(2²) = 1/2(4) = 2