The graphs below have the same shape. What is the equation of the blue graph?

Answer:
The correct option is C.
Step-by-step explanation:
The given function is
[tex]f(x)=x^2[/tex]
It is given that both graph has same shape it means the equation of blue graph is in the form of
[tex]g(x)=(x-h)^2+k[/tex]
Where, (h,k) is the vertex of the parabola.
From the given graph it is noticed that vertex of blue parabola is (4,1), therefore the eqaution of parabola is
[tex]g(x)=(x-4)^2+1[/tex]
Option C is correct.