Answer:
Step-by-step explanation:
The vertex form of a parabola
y = a ( x- h)^2 + k Whre h, k is the vertex (-1,2) :
y = a ( x - -1)^2 + 2
y = a (x+1)^2 + 2
and includes the point (0, -1)
Sub in the point to calculate 'a'
-1 = a ( 0 +1)^2 + 2
- 1 = a + 2
a = -3
So the equation is y = - 3 ( x+1)^2 + 2
expands to
f(x) = - 3x^2 - 6x -1
a = -3 b = -6 c = -1