Answer:
y - k = (x + 2)^2
Explanation:
The vertex equation of a vertical parabola is
y - k = a(x - h)^2, where (h, k) is the vertex.
We are given h = -2, k = 4, x = 0 and y = 8 and need to find the value of a.
8 - 4 = a(0 + 2)^2, or
4 = 4a, so a must be 1.
Then the desired equation is:
y - k = (x + 2)^2