PLEASE HELP ME
The graph of f(x) = −x2 − 2x + 8 is shown. Which of the following describes all solutions for f(x)?

a parabola passing through negative 4 comma zero, negative 1 comma 9, zero comma 8, and 2 comma zero

A. (x, −x2 − 2x + 8) for all real numbers

B. (−4, 0), (−1, 9), (0, 8), (2, 0)

C. (−4, 0), (2, 0)

D. (x, y) for all real numbers

This is a bad question.  It should really be asking about the solutions of f(x)=0 (an actual equation) or the zeros of f(x).

The zeros of a function f(x) are the xs where f(x)=0.  That means where the curve intersects the x axis.  That's (-4,0) and (2,0) on the graph.

C   (-4,0), (2,0)

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!