Find the standard form of the parabola with the given characteristics and the vertex at the origin:

1. Vertical axis and passes through the point (-3,3)
2.Horizontal axis and passes through the point (3,-2)

Question

Find the standard form of the parabola with the given characteristics and the vertex at the origin:

1. Vertical axis and passes through the point (-3,3)
2.Horizontal axis and passes through the point (3,-2)

mathmale · Answer

The standard form of the equation of a vertical parabola is y=a(x-h)^2+k, where (h,k) represents the vertex.

Supposing that the vertex is at the origin, what is the standard form of the equation of this particular parabola?