Part of the graph of the function f(x) = (x - 1)(x + 7) is shown below.
6
Which statements about the function are true? Select
three options.
The vertex of the function is at (-4,-15).
The vertex of the function is at (-3,-16).
The graph is increasing on the interval x > -3.
The graph is positive only on the intervals where x <-
7 and where
X > 1.
4
2+
-86 42
2
4
x
-2
The graph is negative on the interval x < 4.
-4
-6

In BOLD.

Step-by-step explanation:

f(x) = (x - 1)(x + 7)

Convert to vertex form.

= x^2 + 6x - 7

= (x + 3)^2 - 9 - 7

= (x = 3)^2 - 16

So the vertex is at (-3, -16)

Also, as the vertex is a minimum the graph is increasing on interval x > -3.

From the graph we see:

The graph is positive on the interval

where x < -7  and x > 1.

- and negative where

-7 < x < 1.

your answer is the frist one

hop i

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!