document.write( "Question 1087501: find the focus and directrix of the parabola y^2=14x and sketch \n" ); document.write( "

Algebra.Com's Answer #701812 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "the parabola $\"y%5E2=14x+\"$ is sideways parabola opens towards positives\r
\n" ); document.write( "\n" ); document.write( " $\"x=y%5E2%2F14+\"$ or $\"x=%281%2F14%29y%5E2+\"$ \r
\n" ); document.write( "\n" ); document.write( "standard formula is: $\"x=a%28y-k%29%5E2%2Bh+\"$ where $\"h\"$ and $\"k\"$ are coordinates of vertex\r
\n" ); document.write( "\n" ); document.write( "in your $\"a=%281%2F14%29\"$ , $\"h=0\"$ and $\"k=0\"$ \r
\n" ); document.write( "\n" ); document.write( "the focus is at
\n" ); document.write( "( $\"h%2B1%2F4a\"$ , $\"k\"$ )\r
\n" ); document.write( "\n" ); document.write( "=( $\"%280%2B1%29%2F4%281%2F14%29\"$ , $\"0\"$ )\r
\n" ); document.write( "\n" ); document.write( "=( $\"14%2F4\"$ , $\"0\"$ )\r
\n" ); document.write( "\n" ); document.write( "=( $\"7%2F2\"$ , $\"0\"$ )\r
\n" ); document.write( "\n" ); document.write( " the vertex is exactly midway between the directrix and the focus, so directrix is $\"x=-7%2F2\"$ \r
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