Answer:
The correct option is C) [tex]f(x)=(x)^2-5[/tex].
Step-by-step explanation:
Consider the provided graph:
The provided graph is a graph of a parabola with vertex at (0,-5).
The vertex form of a parabola is:
[tex]f(x)=a(x-h)^2+k[/tex]
Where, (h,k) are the vertex of the parabola.
From the provided graph the vertex is (0,-5)
Substitute a = 1 h = 0 and k = -5 in the vertex form.
[tex]f(x)=(x-0)^2-5[/tex]
[tex]f(x)=(x)^2-5[/tex]
Thus, the correct option is C) [tex]f(x)=(x)^2-5[/tex].
