document.write( "Question 1082150: Find (h,k) of the parabola x^2 - 2x - 8y - 15 = 0. \n" ); document.write( "

Algebra.Com's Answer #696218 by MathLover1(20850) $\"\"$ $\"About$

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Find ( $\"h\"$ , $\"k\"$ ) of the parabola $\"x%5E2+-+2x+-+8y+-+15+=+0\"$ :\r
\n" ); document.write( "\n" ); document.write( " $\"%28x%5E2+-+2x%29+-+8y+-15+=+0\"$ ..........complete squares\r
\n" ); document.write( "\n" ); document.write( " $\"%28x%5E2+-+2x%2Bb%5E2%29-b%5E2+-+8y+-15+=+0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x%5E2+-+2x%2B1%5E2%29-1%5E2+-15=8y+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x-1%29%5E2-1+-15=8y+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x-1%29%5E2-16=8y+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x-1%29%5E2%2F8-16%2F8=y+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=%281%2F8%29%28x-1%29%5E2-2+\"$ ...-> $\"h=1\"$ and $\"k=-2\"$ \r
\n" ); document.write( "\n" ); document.write( "so, vertex is at ( $\"1\"$ , $\"-2\"$ )\r
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