document.write( "Question 327053: find the maximum or minimum value of the function defined by f(x)=-x^2-6x-8 \n" ); document.write( "

Algebra.Com's Answer #234240 by Fombitz(32388) $\"\"$ $\"About$

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Complete the square to put the equation in vertex form, $\"y=a%28x-h%29%5E2%2Bk\"$ , the min or max value of the function occurs at the vertex.
\n" ); document.write( " $\"f%28x%29=-x%5E2-6x-8\"$
\n" ); document.write( " $\"f%28x%29=-%28x%5E2%2B6x%29-8\"$
\n" ); document.write( " $\"f%28x%29=-%28x%5E2%2B6x%2B9%29-8%2B9\"$
\n" ); document.write( " $\"f%28x%29=-%28x%2B3%29%5E2%2B1\"$
\n" ); document.write( "Since the coefficient of the $\"x%5E2\"$ term is negative, the parabola opens downward and the value at the vertex is a maximum.
\n" ); document.write( "The vertex (h,k) is (-3,1).
\n" ); document.write( " $\"ymax=1\"$
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