document.write( "Question 468414: How do I solve a problem like this:\r
\n" ); document.write( "\n" ); document.write( "find vertex of parabola
\n" ); document.write( "y=3x^2+6x-12\r
\n" ); document.write( "\n" ); document.write( "Thanks,\r
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Algebra.Com's Answer #321406 by MathLover1(20849) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"y=3x%5E2%2B6x-12\"$ ......standard form \r
\n" ); document.write( "\n" ); document.write( "When a function is in standard form rather than vertex form , we cannot simply look at the function and find the vertex of (h, k). There are two ways to approach this problem.\r
\n" ); document.write( "\n" ); document.write( " Using a formula: The x-value of the vertex can be found using the formula $\"h=-b%2F2a\"$ y-value. \r
\n" ); document.write( "\n" ); document.write( " $\"y=3x%5E2%2B6x-12\"$ ...... $\"a=3\"$ , $\"b=6\"$ and $\"c=-12\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"h=-b%2F2a\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"h=-6%2F2%2A3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"h=-6%2F6\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"h=-1\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=3x%5E2%2B6x-12\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=3%28-1%29%5E2%2B6%28-1%29-12\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=3%281%29-6-12\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=3-18\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=-15\"$ \r
\n" ); document.write( "\n" ); document.write( "the vertex is (h, k)=(-1, -15)\r
\n" ); document.write( "\n" ); document.write( " $\"+graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+10%2C+3x%5E2%2B6x-12%29+\"$ \r
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