document.write( "Question 362086: The parabola with vertex (2,-4) and passing through the point(8,6)is given by the equation y=Ax2+Bx+C, where
\n" ); document.write( " A=_______ B=___________ C=__________ \n" ); document.write( "

Algebra.Com's Answer #258082 by Fombitz(32388) $\"\"$ $\"About$

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Use the vertex form of a parabola,
\n" ); document.write( " $\"y=a%28x-h%29%5E2%2Bk\"$ where ( $\"h\"$ , $\"k\"$ ) is the vertex.
\n" ); document.write( " $\"y=a%28x-2%29%5E2-4\"$
\n" ); document.write( "Now use the point (8,6) to solve for $\"a\"$ .
\n" ); document.write( " $\"6=a%288-2%29%5E2-4\"$
\n" ); document.write( " $\"10=a%286%29%5E2\"$
\n" ); document.write( " $\"a=10%2F36%7D%7D%0D%0A%7B%7B%7Ba=5%2F18\"$
\n" ); document.write( " $\"y=%285%2F18%29%28x-2%29%5E2-4\"$
\n" ); document.write( " $\"y=%285%2F18%29%28x%5E2-4x%2B4%29-4\"$
\n" ); document.write( " $\"y=%285%2F18%29x%5E2-%2810%2F9%29x%2B%2810%2F9%29-%2836%2F9%29\"$
\n" ); document.write( " $\"highlight%28y=%285%2F18%29x%5E2-%2810%2F9%29x-%2826%2F9%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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