Find an equation for the parabola that has its vertex at the

Find an equation for the parabola that has its vertex at the origin and satisfies the given condition(s). Find an equation of the parabola whose graph is shown.

Solution

31)focus (0,6)

a=6

parabola is x²=4ay

x²=4*6y

x²=24y

38)directrix is y =1/2

a=-1/2

x²=4*(-1/2)y

equation of parabola is x²=-2y