Question

The graph of F(x), shown below, has the same shape as the graph of G(x) = x4, but it is shifted to the right 1 unit. What is its equation?

Answer 1

Given:-

The graph of x power 4.

To find the equation when the graph is shifted right 1 unit.

So the equation in vertex form is,

$y=a(x-h)^2+k$

Substituting the values. we get,

$g(x)=1(x-1)^4+0$

Since the graph is shifted right side the value will be in negative. so we get,

$g(x)=(x-1)^4$