Given:
g(x) is the transformation of the function f(x) = x²
As shown in the graph, the red function represents the function f(x)
We will find g(x) as follows:
1) reflect f(x) over the x-axis:
[tex]x^2\rightarrow-x^2[/tex]
2) shift 9 units up
so, the answer will be the function g(x) will be:
[tex]g(x)=-x^2+9[/tex]
