document.write( "Question 1091008: Find a+b+c if the graph of the equation y=ax^2+bx+c is a parabola with vertex (5,3), a vertical axis of symmetry, and contains the point (2,0). \n" ); document.write( "

Algebra.Com's Answer #705457 by josgarithmetic(39617) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"y=a%28x-5%29%5E2%2B3\"$ \r
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\n" ); document.write( "\n" ); document.write( "-\r
\n" ); document.write( "\n" ); document.write( " $\"y-3=a%28x-5%29%5E2\"$
\n" ); document.write( " $\"%28y-3%29%2F%28x-5%29%5E2=a\"$
\n" ); document.write( "-
\n" ); document.write( " $\"a=%280-3%29%2F%282-5%29%5E2\"$
\n" ); document.write( " $\"a=-3%2F%28-3%29%5E2\"$
\n" ); document.write( " $\"a=-1%2F3\"$
\n" ); document.write( "-
\n" ); document.write( " $\"y=%28-1%2F3%29%28x-5%29%5E2%2B3\"$ \r
\n" ); document.write( "\n" ); document.write( "-\r
\n" ); document.write( "\n" ); document.write( " $\"%28-1%2F3%29%28x%5E2-10x%2B25%29%2B3\"$
\n" ); document.write( " $\"%28-1%2F3%29x%5E2%2B%2810%2F3%29x-25%2F3%2B3\"$
\n" ); document.write( " $\"%28-1%2F3%29x%5E2%2B%2810%2F3%29x%2B9%2F3-25%2F3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28-1%2F3%29x%5E2%2B%2810%2F3%29x-16%2F3\"$ , in a form decreasing degree of x\r
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\n" ); document.write( "\n" ); document.write( " $\"system%28a=-1%2F3%2Cb=10%2F3%2Cc=-16%2F3%29\"$ , and you can compute a+b+c. \n" ); document.write( "

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