document.write( "Question 56717This question is from textbook
\n" ); document.write( ": find the maximum value of y=-x^2 + 6x \n" ); document.write( "

Algebra.Com's Answer #38492 by funmath(2933) $\"\"$ $\"About$

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find the maximum value of $\"y=-x%5E2%2B6x\"$
\n" ); document.write( "The maximum value of a parabola, whose coefficient of x^2 is negative, is it's vertex.
\n" ); document.write( "This quadratic equation is in standard for: $\"highlight%28y=ax%5E2%2Bbx%2Bc%29\"$ , our a=-1, b=6, and c=0.
\n" ); document.write( "The equation for finding the x value of a quadratic equation written in standard form is: $\"highlight%28x=-b%2F2a%29\"$
\n" ); document.write( " $\"x=-%286%29%2F%282%28-1%29%29\"$
\n" ); document.write( " $\"x=-6%2F-2\"$
\n" ); document.write( " $\"x=3\"$
\n" ); document.write( "Plug that into the parabola for x and you'll find the maximum value.
\n" ); document.write( " $\"y=-%283%29%5E2%2B6%283%29\"$
\n" ); document.write( " $\"y=-9%2B18\"$
\n" ); document.write( " $\"y=9\"$
\n" ); document.write( "The maximum value of this parabola is at (3,9).
\n" ); document.write( "Happy Calculating!!! \n" ); document.write( "

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