document.write( "Question 173641: Find equation of the parabola that satisfies the given conditions.\r
\n" ); document.write( "\n" ); document.write( "Vertex (-4,-2), focus (-6,-2), and symmetric with respect to the line y=-2 \n" ); document.write( "

Algebra.Com's Answer #128647 by Mathtut(3670) $\"\"$ $\"About$

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since the focus is to the left of the vertex and the line of symmetry is y=-2
\n" ); document.write( "then this parabola has to take the form of $\"y%5E2=x\"$ and has to open to the left. furthermore since we know the vertex we can plug in that info
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\n" ); document.write( " $\"%28y%2B2%29%5E2=4p%28x%2B4%29\"$ so now all we have to do is figure out what p is....since the focus is a distance of 2 units to the left of the vertex this means p=-2
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\n" ); document.write( "4(-2)=-8
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\n" ); document.write( "so we have a final equation of
\n" ); document.write( ":
\n" ); document.write( " $\"highlight%28y%2B2%29%5E2=-8%28x%2B4%29\"$ \n" ); document.write( "

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