document.write( "Question 316856: Determine whether there is a maximum or minimum value for the given function, and find that value.
\n" ); document.write( " f(x) = x2 + 8x + 13 \n" ); document.write( "

Algebra.Com's Answer #226799 by nerdybill(7384) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"f%28x%29+=+x%5E2+%2B+8x+%2B+13\"$
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\n" ); document.write( "Since the coefficient associated with the $\"x%5E2\"$ term is POSITIVE (think \"happy face\"), we KNOW that it is a parabola that opens upwards -- therefore there will be a MINIMUM.
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\n" ); document.write( "The minimum then corresponds to the \"vertex\".
\n" ); document.write( "Axis of symmetry:
\n" ); document.write( "x = -b/(2a) = -8/2 = -4
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\n" ); document.write( " $\"f%28-4%29+=+%28-4%29%5E2+%2B+8%28-4%29+%2B+13\"$
\n" ); document.write( " $\"f%28-4%29+=+16+-+32+%2B+13\"$
\n" ); document.write( " $\"f%28-4%29+=+-3\"$
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