Question

Equation of the parabola with vertex at the origin

Answer 1

Equation of the parabola with vertex at the origin and focus in (0,-p)
\[x^2=-4py\]Equation of the parabola with vertex at the origin and focus in (p,0)
\[y^2=4px\]

Answer 2

there are 2 other equations for a parabola at the origin

\[y^2 = 4ax\]



and

\[y^2 = -4ax\]