Answer:
y = -(x +1)^2 -2
Step-by-step explanation:
The equation of the parabola with vertex (h, k) and vertical scale factor "a" can be written ...
y = a(x -h)^2 +k
We are given (h, k) = (-1, -2) and (x, y) = (1, -6). Putting those values into the equation, we can solve for "a".
-6 = a(1 -(-1))^2 -2
-4 = 4a . . . . . add 2, simplify
-1 = a . . . . . . divide by 4
The function has equation ...
y = -(x +1)^2 -2
