The graph of the function f(x) = -(x+6)(x + 2) is shown
below.
which statement about the function is true?
the function is increasing for all real values of x where
x< 4.
the function is increasing for all real values of x where
-6 the function is decreasing for all real values of x where
x< -6 and where x > -2.
the function is decreasing for all real values of x where
x< 4.
+6
-4

2 4 6
x

The function is increasing for all real values of x where

x < –4.

Step-by-step explanation:

we have

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex (h,k) represent  a maximum

The roots of the function (or x-intercepts) are x=-6 and x=-2

The x-coordinate of the vertex is the midpoint of the roots

so

The y-coordinate of the vertex is

substitute the x-coordinate of the vertex in the quadratic equation

The vertex is the point (-4,4)

The function is increasing in the interval (-∞,-4)

The function is decreasing in the interval (-4,∞)

The function is increasing for all real values of x where

x< 4.

Step-by-step explanation:

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step-by-step explanation:

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