Question

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. 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. The graph is negative on the interval x < –4.

Answer 1

The statements about the function that are true are

• 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.

How to interpret the graph?

The equation of the graph is given as

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

The graph of the function is added as an attachment

On the graph, we have

Vertex = (-3, -16)

This is so because the graph has a minimum point of (-3, -16)

Also, the graph crosses the x-axis at x = 1 and x = -7

This means that the graph is positive at x >1 and x >-7

Because the vertex is a minimum, the graph is increasing at the left of its symmetry i.e. x > -3

Read more about quadratic functions at

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