Question

A parabola opening up or down has vertex (0,

Answer 1

Answer:

The desired equation is y + 1 = (-1/4)(x - 0)^2

Step-by-step explanation:

Start with the vertex form of the equation of a parabola:

y - k = a(x - h)^2

Since the vertex is at (0, -1), we now have:

y + 1 = a(x - 0)^2, or y + 1 = ax^2

The point (6, -10) is on this parabola.  Therefore:

-10 + 1 = a(6)^2, or

-9 = a*36, or a = -9/36, or a = -1/4.

The desired equation is y + 1 = (-1/4)(x - 0)^2