Question 103198
horizontal axis of symmetry means a basic parabola of x=y^2 which has a vertex at the origin


the offset of the vertex results in x=a(y-2)^2+4


using the point to find a gives 20=a(4-2)^2+4 ... 16=4a ... 4=a


so the equation is x=4(y-2)^2+4 ... or x=4y^2-16y+20