document.write( "Question 1008751: Change the following to vertex form:
\n" ); document.write( "1. f(x)=x²-12x+16
\n" ); document.write( "2. f(x)=x²+4x+1 \n" ); document.write( "

Algebra.Com's Answer #624352 by MathLover1(20850) $\"\"$ $\"About$

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The vertex form of a quadratic is given by
\n" ); document.write( " $\"+f%28x%29=+a%28x+-+h%29%5E2+%2B+k\"$ , where ( $\"h\"$ , $\"k\"$ ) is the vertex.
\n" ); document.write( "The \"a\" in the vertex form is the same \"a\" as in $\"+f%28x%29+=+ax%5E2+%2B+bx+%2B+c\"$ (that is, both a's have exactly the same value). \r
\n" ); document.write( "\n" ); document.write( "1.
\n" ); document.write( " $\"f%28x%29=x%5E2-12x%2B16\"$ ......complete square
\n" ); document.write( " $\"f%28x%29=%28x%5E2-12x%2Bb%5E2%29-b%5E2%2B16\"$
\n" ); document.write( " $\"f%28x%29=%28x%5E2-12x%2B6%5E2%29-6%5E2%2B16\"$
\n" ); document.write( " $\"f%28x%29=%28x-6%29%5E2-36%2B16\"$
\n" ); document.write( " $\"f%28x%29=%28x-6%29%5E2-20\"$ \r
\n" ); document.write( "\n" ); document.write( "the vertex is at ( $\"6\"$ , $\"-20\"$ )\r
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\n" ); document.write( "\n" ); document.write( "2.
\n" ); document.write( " $\"f%28x%29=x%5E2%2B4x%2B1+\"$
\n" ); document.write( " $\"f%28x%29=%28x%5E2%2B4x%2Bb%5E2%29-b%5E2%2B1+\"$
\n" ); document.write( " $\"f%28x%29=%28x%5E2%2B4x%2B2%5E2%29-2%5E2%2B1+\"$
\n" ); document.write( " $\"f%28x%29=%28x%2B2%29%5E2-4%2B1+\"$
\n" ); document.write( " $\"f%28x%29=%28x%2B2%29%5E2-3+\"$ \r
\n" ); document.write( "\n" ); document.write( "the vertex is at ( $\"-2\"$ , $\"-3\"$ )\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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