document.write( "Question 1039964: Find the coordinates, latus rectum and end points of the parabola x^2-8y=0 given the focus of (0,-3) and directrix y-4=0 \n" ); document.write( "

Algebra.Com's Answer #654739 by josgarithmetic(39620) $\"\"$ $\"About$

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General Form, $\"y=%281%2F8%29x%5E2\"$
\n" ); document.write( "Standard Form, $\"y=%281%2F8%29%28x-0%29%5E2%2B0\"$
\n" ); document.write( "Latus Rectum depends on knowing the focus, which is given as (0,-3).\r
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\n" ); document.write( "\n" ); document.write( "The vertex is read from the standard form equation, and is (0,0), the Origin. The directrix is the line $\"y=4\"$ , a horizontal line. Your given parabola with its vertex on the Origin, is concave upward, and the focus must be on the concave region of the parabola's cartesian system.\r
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\n" ); document.write( "\n" ); document.write( "Using your equation or the standard form of it, and the known vertex and directrix, the focus must be 4 units away from (0,0) in the opposite direction of the directrix (x,4), putting the focus at (0,-4). This contradicts your given parabola based on its equation.\r
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\n" ); document.write( "\n" ); document.write( "Here is what your parabola according to your given equation and the given directrix look like:
\n" ); document.write( " $\"graph%28300%2C300%2C-6%2C6%2C-6%2C6%2Cy=x%5E2%2F8%2C4%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "SOME OF YOUR GIVEN INFORMATION OR DESCRIPTION IS WRONG.
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