document.write( "Question 1030560: Write a quadratic function in vertex form whose graph has the vertex (1,2) and passes through the point (3,10).\r
\n" ); document.write( "\n" ); document.write( "(what does F(x)=?) \n" ); document.write( "

Algebra.Com's Answer #645408 by josgarithmetic(39617) $\"\"$ $\"About$

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y=f(x) or depending how you want to name the function, y=F(x).\r
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\n" ); document.write( "\n" ); document.write( " $\"y=a%28x-h%29%5E2%2Bk\"$ -------------generalized (NOT general) standard form, vertex (h,k).Your vertex is given.\r
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\n" ); document.write( "\n" ); document.write( " $\"y=a%28x-1%29%5E2%2B2\"$ \r
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\n" ); document.write( "\n" ); document.write( "Use the known point on the quadratic function to determine coefficient a.
\n" ); document.write( " $\"a%28x-1%29%5E2%2B2=y\"$
\n" ); document.write( " $\"a%28x-1%29%5E2=y-2\"$
\n" ); document.write( " $\"a=%28y-2%29%2F%28x-1%29%5E2\"$
\n" ); document.write( "substitute the point.
\n" ); document.write( " $\"a=%2810-2%29%2F%283-1%29%5E2\"$
\n" ); document.write( " $\"a=8%2F4\"$
\n" ); document.write( " $\"a=2\"$ ---------------value of the coefficient found.\r
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\n" ); document.write( "\n" ); document.write( "Final answer: $\"highlight%28y=2%28x-1%29%5E2%2B2%29\"$ \n" ); document.write( "

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