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
