document.write( "Question 553643: Write an equation of the parabola with its vertex at the origin if its focus is at (0,2). \n" ); document.write( "

Algebra.Com's Answer #361100 by lwsshak3(11628) $\"\"$ $\"About$

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Write an equation of the parabola with its vertex at the origin if its focus is at (0,2).
\n" ); document.write( "**
\n" ); document.write( "Given equation is that of a parabola that opens upwards. Standard form: (x-h)^2=4p(y-k), with (h,k) being the (x,y) coordinates of the vertex.
\n" ); document.write( "For given equation:
\n" ); document.write( "vertex:(0,0)
\n" ); document.write( "axis of symmetry: x=0 or y-axis
\n" ); document.write( "p=distance from vertex to focus on axis of symmetry=2
\n" ); document.write( "equation of given parabola:
\n" ); document.write( "x^2=8y \n" ); document.write( "

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