Answer:
[tex](x,-x^2-2x+8)[/tex] where −5 ≤ x ≤ 3
Step-by-step explanation:
The given function is [tex]f(x)=-x^2-2x+8[/tex].
We want to select the option that describes all the solutions to the parabola.
The domain of the parabola is −5 ≤ x ≤ 3.
This means that  any x=a on −5 ≤ x ≤ 3 that satisfies (a,f(a)), is a solution.
This can be rewritten as [tex](a,-a^2-2a+8)[/tex]
Therefore for x belonging to −5 ≤ x ≤ 3, all solutions are given by:
[tex](x,-x^2-2x+8)[/tex] where −5 ≤ x ≤ 3.