Question

The graph of the function f(x) = (x + 2)(x + 6) is shown below.

On a coordinate plane, a parabola opens up. It goes through (negative 6, 0), has a vertex at (negative 4, negative 4), and goes through (negative 2, 0).

Which statement about the function is true?

The function is positive for all real values of x where
x > –4.
The function is negative for all real values of x where
–6 < x < –2.
The function is positive for all real values of x where
x < –6 or x > –3.
The function is negative for all real values of x where
x < –2.

Answer 1

Explanation:

The graph of this curve is concave (opening up) and the vertex has a negative ordinate. So all values between the intersections of the parabola with x axis will be negative as well.

Therefore, the right statement is the option B

The function is negative for all real values of x where: -6<X<-2