document.write( "Question 1085588: What is the maximum function value of f(x)=-1/4x^2+2x-3 \n" ); document.write( "

Algebra.Com's Answer #699655 by Fombitz(32388) $\"\"$ $\"About$

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Complete the square to get to vertex form.
\n" ); document.write( " $\"f%28x%29=-x%5E2%2F4%2B2x-3\"$
\n" ); document.write( " $\"f%28x%29=-%281%2F4%29%28x%5E2-8x%29-3\"$
\n" ); document.write( " $\"f%28x%29=-%281%2F4%29%28x%5E2-8x%2B16%29-3%2B%281%2F4%29%2816%29\"$
\n" ); document.write( " $\"f%28x%29=-%281%2F4%29%28x-4%29%5E2-3%2B4\"$
\n" ); document.write( " $\"f%28x%29=-%281%2F4%29%28x-4%29%5E2%2B1\"$
\n" ); document.write( "The maximum value (since there is a negative multiplier for the quadratic term) is the vertex value,
\n" ); document.write( " $\"y%5Bmax%5D=1\"$
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