Part of the graph of the function f(x) = (x - 1)(x + 7) is shown below.
Which statements about the function are true? Select
three options.
The vertex of the function is at (-4,-15).
6
The vertex of the function is at (-3,-16).
4
The graph is increasing on the interval x > -3.
2
The graph is positive only on the intervals where x <-7
and where
X > 1.
+
-8
-6
-4
-2
2
х
2.
The graph is negative on the interval x < -4.
4
-6
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Step-by-step explanation:

The given function is

Zeroes of the function are

It means, f(x) intersect x-axis at x=-7 and x=1.

Mid value of -7 and 1 is the x-coordinate of the vertex.

At x=-3,

So, the vertex of the function is at (-3,-16).

The given function can be written as

Here leading coefficient is negative, it means it is an upward parabola.

So, we conclude that

1. The graph is increasing on the interval x > -3.

2. The graph is decreasing on the interval x < -3.

3. The graph is positive only on the intervals where x <-7 and where x > 1.

4. The graph is negative only on the intervals where -7 < x < 1.

Therefore, the correct options are 2, 3 and 4.

  q

step-by-step explanation:

each line from a vertex to the midpoint of the opposite side is called a median. the point where the medians intersect, point q, is the centroid.

the centroid of δabc is point q.