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
$4*4(y-0)=(x-0)^2 \\ 16y=x^2 \\ y= \frac{1}{16}x^2$