Question

write the standard form of the equation of the parabola with its vertex at (0,0) and focus (0,5).?

Answer 1

Is it a vertical parabola or a horizontal?

Answer 2

hori.

Answer 3

A horizontal parabola with its vertex at (h,k) has the equation
\[\large (y-k)^2=4p(x-h)\]Where p is the distance from the focus to the vertex.

a vertical parabola with its vertex at (h,k) has the equation
\[\large (x-h)^2=4p(y-k)\]Where p is the distance from the focus to the vertex.