document.write( "Question 330509: Find the vertex,the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function. f(x)=-2x^2+2x+8 \n" ); document.write( "

Algebra.Com's Answer #236983 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Complete the square to put the equation in vertex form, $\"y=a%28x-h%29%5E2%2Bk\"$ . where (h,k) is the vertex.
\n" ); document.write( " $\"f%28x%29=-2x%5E2%2B2x%2B8\"$
\n" ); document.write( " $\"f%28x%29=-2%28x%5E2-x%29%2B8\"$
\n" ); document.write( " $\"f%28x%29=-2%28x%5E2-x%2B1%2F4%29%2B8%2B2%281%2F4%29\"$
\n" ); document.write( " $\"f%28x%29=-2%28x-1%2F2%29%5E2%2B17%2F2\"$
\n" ); document.write( "The vertex is ( $\"1%2F2\"$ , $\"17%2F2\"$ ).
\n" ); document.write( "The vertex lies on the axis of symmetry $\"x=1%2F2\"$
\n" ); document.write( "The max or min value occurs at the vertex.
\n" ); document.write( "Since the coefficient for the $\"x%5E2\"$ term is negative, the parabola opens downward and the vertex value is the maximum.
\n" ); document.write( " $\"ymax=17%2F2\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".

\n" ); document.write( "

\n" );