document.write( "Question 462662: find the vertex, the line of symmetry, and the maximum or minimum value of: f(x)= -2x^2 + 2x + 5 \n" ); document.write( "

Algebra.Com's Answer #317485 by lwsshak3(11628) $\"\"$ $\"About$

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find the vertex, the line of symmetry, and the maximum or minimum value of: f(x)= -2x^2 + 2x + 5
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\n" ); document.write( "f(x)= -2x^2 + 2x + 5
\n" ); document.write( "Standard form for a parabola: y=A(x-h)^2+k, with (h,k) being the (x,y) coordinates of the vertex. A is a multiplier which affects the steepness of the curve.
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\n" ); document.write( "for given problem
\n" ); document.write( "y=-2x^2+2x+5
\n" ); document.write( "complete the square
\n" ); document.write( "y=-2(x^2-x+1/4)+5+1/2
\n" ); document.write( "y=-2(x-1/2)^2+11/2
\n" ); document.write( "This equation is a parabola which opens downwards with a vertex at (1/2,11/2). Line of symmetry, x=1/2. Maximum value=11/2
\n" ); document.write( "see graph as a visual check on the answers
\n" ); document.write( "..
\n" ); document.write( " $\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C-2x%5E2%2B2x%2B5%29+\"$ \n" ); document.write( "

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