Answer:
y + 1 = (11/36)(x - 0)^2
Step-by-step explanation:
Suppose that the parabola opens UP. We adapt the equation
y - k = a(x - h)^2 as follows: k = 0 because the vertex is at (0, -1); also h = 1.
Then we have:
y + 1 = a(x - 0)^2
We are told that (6, 10) is on the parabola. Subtracting 6 for x and 10 for y, we get:
10 + 1 = a(6 - 0)^2, or 11 = a(6^2)
Then 11/36 = a
The equation of the parabola in vertex form is y + 1 = (11/36)(x - 0)^2
