document.write( "Question 1058485: What is the maximum value and range of the function y=-2x^2+32x-12 \n" ); document.write( "

Algebra.Com's Answer #673538 by Fombitz(32388) $\"\"$ $\"About$

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Convert to vertex form,
\n" ); document.write( " $\"y=-2x%5E2%2B32x-12\"$
\n" ); document.write( " $\"y=-2%28x%5E2-16x%29-12\"$
\n" ); document.write( " $\"y=-2%28x%5E2-16x%2B64%29-12%2B2%2864%29\"$
\n" ); document.write( " $\"y=-2%28x-8%29%5E2-12%2B128\"$
\n" ); document.write( " $\"y=-2%28x-8%29%5E2%2B116\"$
\n" ); document.write( "The vertex is (8,116) and the parabola opens downwards.
\n" ); document.write( " $\"y%5Bmax%5D=116\"$
\n" ); document.write( "Range is ( $\"-infinity\"$ , $\"116\"$ ] \n" ); document.write( "

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