document.write( "Question 885781: Write the standard form of the parabola that has a vertex(-2,5) and whose graph passes through the point (0,9). Sketch the graph and label the essential points. \n" ); document.write( "

Algebra.Com's Answer #535433 by josgarithmetic(39617) $\"\"$ $\"About$

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Standard form $\"y=a%28x-h%29%5E2%2Bk\"$ .
\n" ); document.write( "Vertex is (h,k)=(-2,5);
\n" ); document.write( " $\"y=a%28x-%28-2%29%29%5E2%2B5\"$
\n" ); document.write( " $\"y=a%28x%2B2%29%5E2%2B5\"$ ;
\n" ); document.write( "You want to use the other point to find a.
\n" ); document.write( " $\"a%28x%2B2%29%5E2=y-5\"$
\n" ); document.write( " $\"a=%28y-5%29%2F%28x%2B2%29%5E2\"$
\n" ); document.write( " $\"a=%289-5%29%2F%280%2B2%29%5E2\"$
\n" ); document.write( " $\"a=4%2F4=1\"$
\n" ); document.write( "-
\n" ); document.write( "RESULT: $\"highlight%28y=%28x%2B2%29%5E2%2B5%29\"$ , and the a=1 is implied or understood. \n" ); document.write( "

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