document.write( "Question 334220: Find the vertex, the line of symestry, the maximum or minimum value of quadratic function, and graph the functions
\n" ); document.write( " f(x)=-2x^2+2x+3 \n" ); document.write( "

Algebra.Com's Answer #240723 by Fombitz(32388) $\"\"$ $\"About$

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$\"f%28x%29=-2x%5E2%2B2x%2B3\"$
\n" ); document.write( "Complete the square to convert to vertex form, $\"y=a%28x-h%29%5E2%2Bk\"$ where (h,k) is the vertex.
\n" ); document.write( " $\"f%28x%29=-2x%5E2%2B2x%2B3\"$
\n" ); document.write( " $\"f%28x%29=-2%28x%5E2-x%29%2B3\"$
\n" ); document.write( " $\"f%28x%29=-2%28x%5E2-x%2B1%2F4%29%2B3%2B1%2F2\"$
\n" ); document.write( " $\"f%28x%29=-2%28x-1%2F2%29%5E2%2B7%2F2\"$
\n" ); document.write( "Vertex:( $\"1%2F2\"$ , $\"7%2F2\"$ )
\n" ); document.write( "The vertex lies on the axis of symmetry, $\"x=1%2F2\"$ .
\n" ); document.write( "The vertex value is the function max or min depending on whether the parabola opens upwards or downwards.
\n" ); document.write( "The sign of the $\"x%5E2\"$ term determines direction of opening.
\n" ); document.write( "Positive upwards, negative downwards.
\n" ); document.write( "Since the coefficient is $\"-2\"$ , the parabola opens downwards and the vertex value is a maximum.
\n" ); document.write( " $\"ymax=7%2F2\"$
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