Question

Compare the graph h(x)=1/4x^2 to the graph of f(x) = x2.

Answer 1

h(x) is the image after f(x) is horizontally stretched by a scale factor of 4

Explanation:

Given

`h(x) = (1)/(4)x^2`

`f(x) = x^2`

Required

Compare h(x) to f(x)

We have:

`h(x) = (1)/(4)x^2`

Substitute
`f(x) = x^2`

`h(x) = (1)/(4)f(x)`

This means that f(x) is stretched horizontally by a scale factor of 4 to get h(x)