document.write( "Question 633490: Write the equation of a parabola with the vertex at the origin and focus at (-4,0)?
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Algebra.Com's Answer #398943 by MathLover1(20850) $\"\"$ $\"About$

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Standard form of parabola: (y-k)^2=-4p(x-h), with (h,k) being the (x,y) coordinates
\n" ); document.write( "of the vertex. This parabola opens leftwards and has a horizontal axis of symmetry.\r
\n" ); document.write( "\n" ); document.write( "For given problem:\r
\n" ); document.write( "\n" ); document.write( "Axis of symmetry = x-axis or y=0\r
\n" ); document.write( "\n" ); document.write( "p=distance from vertex to focus on axis of symmetry=4
\n" ); document.write( "center (0, 0) \r
\n" ); document.write( "\n" ); document.write( "Equation:\r
\n" ); document.write( "\n" ); document.write( " $\"y%5E2=-16x+\"$ \r
\n" ); document.write( "\n" ); document.write( "See graph below as a visual check on the equation\r
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\n" ); document.write( "\n" ); document.write( " $\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C%28-16x%29%5E.5%2C-%28-16x%29%5E.5%29+\"$ \n" ); document.write( "

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