Answer:
y =2(x+3)^2 -3
Explanation:
The vertex form of a parabola is written
y = a(x-h)^2 +k
where (h,k) is the vertex
The vertex from the graph is (-3,-3)
y = a(x--3)^2 -3
y = a(x+3)^2 -3
We can use the other point to determine a
(-5,5)
5 = a(-5+3)^2 -3
5 =a(-2)^2 -3
5 =a4 -3
Add 3 to each side
5+3 = 4a -3+3
8 = 4a
Divide by 4
8/4 = 4a/4
2 =a
y =2(x+3)^2 -3