Question

A portion of the graph of f(x) = −x2 − 2x + 8 is shown. Which of the following describes all solutions for f(x)?

Answer 1

Answer:

$(x,-x^2-2x+8)$ where −5 ≤ x ≤ 3

Step-by-step explanation:

The given function is $f(x)=-x^2-2x+8$.

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 $(a,-a^2-2a+8)$

Therefore for x belonging to −5 ≤ x ≤ 3, all solutions are given by:

$(x,-x^2-2x+8)$ where −5 ≤ x ≤ 3.