document.write( "Question 1125140: a quadratic graph has maximum point (2,5) and passes through point (0,-3). Find the equation for the graph in the form y=ax^2+bx+c \n" ); document.write( "
Algebra.Com's Answer #741459 by Fombitz(32388)\"\" \"About 
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Use the vertex form of the quadratic,
\n" ); document.write( "\"y=a%28x-h%29%5E2%2Bk\"
\n" ); document.write( "\"y=a%28x-2%29%5E2%2B5\"
\n" ); document.write( "Solve for \"a\" using the second point,
\n" ); document.write( "\"-3=a%280-2%29%5E2%2B5\"
\n" ); document.write( "\"-3=a%284%29%2B5\"
\n" ); document.write( "\"4a=-8\"
\n" ); document.write( "\"a=-2\"
\n" ); document.write( "So,
\n" ); document.write( "\"y=-2%28x-2%29%5E2%2B5\"
\n" ); document.write( "Expanding,
\n" ); document.write( "\"y=-2%28x%5E2-4x%2B4%29%2B5\"
\n" ); document.write( "\"y=-2x%5E2%2B8x-8%2B5\"
\n" ); document.write( "\"y=-2x%5E2%2B8x-3\"
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