Question

the graph of f(x) shown below has the same shape as the graph of g(x)=x^4 but it is shifted to the right 1 unit what is its equation

Answer 1

What you must do for this problem is to re-imagine the equation in "vertex form"

Vertex form:
`y=a(x-h)^(2) +k`
where "h" shifts the graph to the right if "h" is positive" and to the left if "h" is negative. K shifts the graph up and down.


`g(x)=a(x-h)^(2) +k`

`g(x)=1(x-1)^(4) +0`
a=1
h=1
k=0

So, your final answer should be:
`g(x)= (x-1)^(4)`