document.write( "Question 871228: Question:\r
\n" ); document.write( "\n" ); document.write( "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?\r
\n" ); document.write( "\n" ); document.write( "Answer Choices:\r
\n" ); document.write( "\n" ); document.write( "A.) The function is increasing on the interval (-∞,∞) and is negative on the interval (-∞,∞).
\n" ); document.write( "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,∞).
\n" ); document.write( "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,∞).
\n" ); document.write( "D.) The function is increasing on the interval (∞,-2) and decreasing on the interval (-2,∞); it is negative on the interval (-∞,∞).\r
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\n" ); document.write( "\n" ); document.write( "Can you please explain how you got the answer please.
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Algebra.Com's Answer #525405 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
The parabola is in vertex form.
\n" ); document.write( "The vertex is (-2,-4) and since the multiplier is \"-4\" in front of \"%28x%2B2%29%5E2\", the parabola opens downwards and the max value is \"y=-4\".
\n" ); document.write( "Here's a graph,
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\n" ); document.write( "Looks like the function increases from \"x=-infinity\" to \"x=2\",
\n" ); document.write( "decreases from \"x=-2\" to \"x=infinity\", and is always negative.
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