document.write( "Question 861729: Find the equation of the parabola with vertex at the origin, the focus is on the y-axis and the parabola passes through the point (2,5) \n" ); document.write( "

Algebra.Com's Answer #519185 by josgarithmetic(39617) $\"\"$ $\"About$

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That would be in a standard form, $\"y=a%28x-h%29%5E2%2Bk%7D%7D%2C+where+%7B%7B%7Ba%3E0\"$ , and $\"h=k=0\"$ , and therefore the form is much simpler, like $\"y=ax%5E2\"$ . Having a given point on the parabola allows you to find the value for a. Solve the equation symbolically for a.\r
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\n" ); document.write( "\n" ); document.write( " $\"a=y%2Fx%5E2\"$ and you have a point for x and y.
\n" ); document.write( " $\"a=5%2F%282%5E2%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "RESULT: $\"highlight%28y=%285%2F4%29x%5E2%29\"$ \n" ); document.write( "

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