document.write( "Question 857856: Find the vertex, focus, and directrix of the parabola given by the equation x^2 + 4x + 4y + 16 + 0 \n" ); document.write( "

Algebra.Com's Answer #516985 by KMST(5328) $\"\"$ $\"About$

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Something is missing. An $\"red%28equa%29\"$ $\"tion\"$ must have an $\"red%28equa%29\"$ $\"l\"$ sign.
\n" ); document.write( "Maybe you meant to type $\"x%5E2+%2B+4x+%2B+4y+%2B+16+=+0\"$ and you got a + sign instead of the = sign.
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\n" ); document.write( " $\"x%5E2+%2B+4x+%2B+4y+%2B+16+=+0\"$ <--> $\"x%5E2%2B4x=-4y-16\"$ <--> $\"x%5E2%2B4x%2B4=-4y-16%2B4%29\"$ <--> $\"%28x%2B2%29%5E2=-4y-12\"$ <--> $\"%28x%2B2%29%5E2=-4%28y%2B3%29\"$ <--> $\"y%2B3=-%281%2F4%29%28x%2B2%29%5E2\"$ <--> $\"y=-%281%2F4%29%28x%2B2%29%5E2-3\"$
\n" ); document.write( "is the equation of a parabola with the vertical axis of symmetry
\n" ); document.write( " $\"x%2B2=0\"$ <--> $\"x=-2\"$ ,
\n" ); document.write( "and the vertex at (-2,-3).
\n" ); document.write( "The focal distance is $\"1\"$ ,
\n" ); document.write( "and the focus and the rest of the parabola is below (-2,-3).
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