document.write( "Question 38222: standard form of parabola vertex (0,0) and focus (0,5)
\n" ); document.write( "and
\n" ); document.write( "equation of ellipse vertex (-8,0), co-vertex (0,4) center (0,0)
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Algebra.Com's Answer #23711 by Nate(3500) $\"\"$ $\"About$

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standard form of parabola vertex (0,0) and focus (0,5)
\n" ); document.write( "'p' is the distance from the vertex to the focus and is equal to 1/(4a)
\n" ); document.write( "p=5 .... so
\n" ); document.write( "5 = 1/(4a)
\n" ); document.write( "20a = 1
\n" ); document.write( "a = (1/20)
\n" ); document.write( "standard form: $\"y+=+a%28x+-+h%29%5E2+%2B+k\"$ where (h,k) is the vertex
\n" ); document.write( " $\"y+=+%281%2F20%29%28x%29%5E2\"$
\n" ); document.write( "equation of ellipse vertex (-8,0), co-vertex (0,4) center (0,0)
\n" ); document.write( " $\"a=8\"$
\n" ); document.write( " $\"b=4\"$
\n" ); document.write( "standard form: $\"%28%28%28x+-+h%29%5E2%29%2Fa%5E2%29%2B%28%28y+-+k%29%5E2%2Fb%5E2%29=1\"$ where the center is (h,k)
\n" ); document.write( " $\"%28%28%28x%29%5E2%29%2F64%29%2B%28%28y%29%5E2%2F16%29=1\"$ \n" ); document.write( "

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