What you must do for this problem is to re-imagine the equation in "vertex form"
Vertex form: [tex]y=a(x-h)^{2} +k[/tex]
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.
[tex]g(x)=a(x-h)^{2} +k[/tex]
[tex]g(x)=1(x-1)^{4} +0[/tex]
a=1
h=1
k=0
So, your final answer should be: [tex]g(x)= (x-1)^{4} [/tex]
