The graph of g(x) shown below in pink has the same shape as the graph of f(x)=x^2, shown in gray. which of the following is the equation of g(x)?

Answer:
[tex]g(x)=(x-1)^{2} -3[/tex]
Step-by-step explanation:
We can tell the vertex of g(x) is (1,-3) which represent (h,k)
We can get the equation by plugging in these values into the vertex form equation.
[tex]g(x)=(x-1)^{2} +(-3)\\g(x)=(x-1)^{2} -3[/tex]