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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

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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)
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