Question

What is the equation of a parabola with vertex (0,0) and focus (0,4)?

Draw its graph on the grid

Answer 1

focus of a parabola:
`4p(y-k)=(x-h)^2` where vertex (h,k) p is the distance from vertex to focus

`4*4(y-0)=(x-0)^2 \\ 16y=x^2 \\ y= (1)/(16)x^2`