Answer:
[tex]g(x)=-x^{2}-4[/tex]
Step-by-step explanation:
we know that
The function g(x) is a vertical parabola open downward with vertex at (0,-4)
The equation of a vertical parabola into vertex form is equal to
[tex]y=a(x-h)^{2}+k[/tex]
I assume that g(x) is a reflection of the function f(x) over the line y=-2
so
a=-1 ---> because in the function f(x) the value of a is equal to 1
therefore
[tex]g(x)=-x^{2}-4[/tex]
