Q:

The graph of the function fx = –x + 6x + 2 is shown below. On a coordinate plane, a parabola opens down. It goes through negative 6, 0, has a vertex at negative 4, 4, and goes through negative 2, 0. Which statement about the function is true? The function is increasing for all real values of x where x –2. The function is decreasing for all real values of x where x < –4.

Accepted Solution

A:
Answer:see below f(x) = –(x + 6)(x + 2) The function is increasing until it reaches the vertex, so it will increase until x=-4.  The function will decrease aer the vertex, so aer x = -4increasing: -∞ < x < -4decreasing : -4 < x < ∞