We are given
graph of f(x) is same as g(x)
so,
[tex]f(x)=g(x)=x^2[/tex]
Firstly, it is flipped over x-axis
It means that it is reflected about x-axis
so, we can multiply y-value by -1
and we get
[tex]f(x)=-x^2[/tex]
now, it is shifted down by 2 units
So, we can subtract y-value by 2
and we get
[tex]f(x)=-x^2-2[/tex]
so, our new equation is
[tex]f(x)=-x^2-2[/tex]................Answer
