Question

What’s the correct answer to this problem ?

Answer 1

Answer:

y = (x+3)^2 -1

Step-by-step explanation:

The equation for an upward opening parabola is

y = a(x-h)^2 +k

Where (h,k) is the vertex

The vertex is (-3,-1)

y = a(x--3)^2 +-1

y = a(x+3)^2 -1

Put a point in to find a

(0,8)

8 = a(0+3)^2 -1

8 = a (3)^2 -1

Add 1 to each side

8+1 = a9

9=9a

Divide by 9

1 =a

y = (x+3)^2 -1