Question

Over what interval is the graph of f(x) = –(x + 8)2 – 1 decreasing?

(negative 8, infinity)
(8, infinity)
(negative infinity, 8)
(negative infinity, negative 8)

Answer 1

Answer:

A. -8, infinity

Step-by-step explanation:

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Answer 2

Using quadratic function concepts, it is found that the function is decreasing over the interval (-8, infinity).

What is the equation of a parabola given it’s vertex?

The equation of a quadratic function, of vertex (h,k), is given by:

$y = a(x - h)^2 + k$

In which a is the leading coefficient, determining the behavior of the function as follows.

• If a > 0, it decreases for (-infinity, h) and increases for (h, infinity).

• If a < 0, it increases for (-infinity, h) and decreases for (h, infinity).

In this problem, the equation is given by:

$f(x) = -(x + 8)^2 - 1$

Hence the coefficients are a = -1 < 0, h = -8, k = 1, meaning that the function is decreasing over the interval (-8, infinity).

More can be learned about quadratic function concepts at https://brainly.com/question/24737967