document.write( "Question 350650: What is the equation of a parabola whose's vertex is at at (5,7) and passes though the point (8,-2) \n" ); document.write( "

Algebra.Com's Answer #250622 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
USe the vertex form of a parabola, $\"y=a%28x-h%29%5E2%2Bk\"$
\n" ); document.write( " $\"y=a%28x-5%29%5E2%2B7\"$
\n" ); document.write( "Now use the point (8,-2) to solve for $\"a\"$ .
\n" ); document.write( " $\"-2=a%288-5%29%5E2%2B7\"$
\n" ); document.write( " $\"a%289%29=-9\"$
\n" ); document.write( " $\"a=-1\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"highlight%28y=-%28x-5%29%5E2%2B7%29\"$
\n" ); document.write( "or
\n" ); document.write( " $\"y=-%28x%5E2-10x%2B25%29%2B7%29\"$
\n" ); document.write( " $\"highlight_green%28y=-x%5E2%2B10x-18%29\"$ \n" ); document.write( "

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