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Elena-2011 [213]
3 years ago
7

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

Mathematics
2 answers:
Ulleksa [173]3 years ago
7 0

Answer:

The answer is A

Step-by-step explanation:

Leokris [45]3 years ago
6 0

Answer:

The function is increasing for all real values of x where

x < –4.

Step-by-step explanation:

we have

f(x)=-(x+6)(x+2)

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

h=(-2-6)/2=-4

The y-coordinate of the vertex is

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

k=-(-4+6)(-4+2)

k=-(2)(-2)

k=4

The vertex is the point (-4,4)

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

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

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