document.write( "Question 132014: Find the vertex and line of symmetry: $\"f%28x%29=%281%2F4%29%28x%2B8%29%5E2%2B7\"$ \n" ); document.write( "

Algebra.Com's Answer #96394 by jim_thompson5910(35256) $\"\"$ $\"About$

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$\"f%28x%29=%281%2F4%29%28x%2B8%29%5E2%2B7\"$ Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=%281%2F4%29%28x-%28-8%29%29%5E2%2B7\"$ Rewrite $\"x%2B8\"$ as $\"x-%28-8%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "Notice how $\"f%28x%29=%281%2F4%29%28x-%28-8%29%29%5E2%2B7\"$ is in vertex form $\"f%28x%29=a%28x-h%29%5E2%2Bk\"$ where h and k form the vertex. In other words, the vertex is the point (h,k)\r
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\n" ); document.write( "\n" ); document.write( "Since h=-8 and k=7, the vertex is the point (-8,7)\r
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\n" ); document.write( "\n" ); document.write( "In general, the line of symmetry is the equation $\"x=h\"$ . So in this case the line of symmetry is $\"x=-8\"$ \n" ); document.write( "

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