# How do you write the equation of the parabola in vertex form given vertex at (0, 0) and a focus at (0, 6)?

${x}^{2} = 24 y$
Standard equation of a parabola in vertex form is ${x}^{2} = 4 a y$. Its vertex is at (0,0). Its focus is at a units from the vertex on the y axis. Since focus is at (0,6), it is a=6
Hence the required parabola would be ${x}^{2} = 24 y$