document.write( "Question 888530: For the function, the vertex of the graph is given. Find the unknown coefficients.
\n" ); document.write( "y=x^2+bx+c; (4, 9) \n" ); document.write( "

Algebra.Com's Answer #537448 by Fombitz(32388) $\"\"$ $\"About$

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Convert to vertex form,
\n" ); document.write( " $\"y=x%5E2%2Bbx%2Bc\"$
\n" ); document.write( " $\"y=%28x%5E2%2Bbx%2Bb%5E2%2F4%29%2Bc-b%5E2%2F4\"$
\n" ); document.write( " $\"y=%28x%2Bb%2F2%29%5E2%2B%28c-b%5E2%2F4%29\"$
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\n" ); document.write( " $\"-b%2F2=4\"$
\n" ); document.write( " $\"b=-8\"$
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\n" ); document.write( " $\"c-b%5E2%2F4=9\"$
\n" ); document.write( " $\"c-64%2F4=9\"$
\n" ); document.write( " $\"c-16=9\"$
\n" ); document.write( " $\"c=25\"$
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