55-64 ■ Find the Equation of the Conic Find an equation for the conic section with the given properties.
The parabola with vertex at the origin and focus .
An equation for the parabola with vertex at origin and focus .
The vertex and focus of the parabola are and respectively.
Distance between vertex and focus is the value of . The standard equation of a parabola is .
Distance between vertex and focus is 5, so the value of .
Since the vertex of the parabola is origin, so the parabola is passing through the origin