Answer:
y = -x^2+2
Step-by-step explanation:
The equation for a parabola is
y =a(x-h)^2 +k
where (h,k) is the vertex
The vertex of our parabola is (0,2)
y = a(x-0)^2 +2
y =ax^2+2
We need one more point to determine a
(2,-2)
-2 = a(2)^2 +2
-2 = 4a+2
Subtract 2 from each side
-2-2 =4a
-4 =4a
Divide by 4
-4/4 =4a/4
-1 =a
y=-1 x^2+2
y = -x^2+2
