SOLUTION: Question: The function f(x) is defined as f(x)= -4(x+2)squared-4. Which of the following statements correctly describes the intervals of the domain? Answer Choices: A.) Th

Question 871228: Question:
The function f(x) is defined as f(x)= -4(x+2)squared-4. Which of the following statements correctly describes the intervals of the domain?
Answer Choices:
A.) The function is increasing on the interval (-∞,∞) and is negative on the interval (-∞,∞).
B.) The function is increasing on the interval (-∞,-4) and decreasing on the interval (-4,∞); it is positive on the interval (-∞,2) and negative on the interval (2,∞).
C.) The function is increasing on the interval (∞,2) and decreasing on the interval (2,∞); it is positive on the interval (-∞,-4) and negative on the interval (-4,∞).
D.) The function is increasing on the interval (∞,-2) and decreasing on the interval (-2,∞); it is negative on the interval (-∞,∞).

Can you please explain how you got the answer please.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The parabola is in vertex form.
The vertex is (-2,-4) and since the multiplier is in front of , the parabola opens downwards and the max value is .
Here's a graph,

Looks like the function increases from to ,
decreases from to , and is always negative.
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