9514 1404 393
Answer:
(a) y=(x+4)^2 +7
Step-by-step explanation:
The vertex form equation is ...
y = a(x -h)^2 +k
for vertex (h, k) and vertical scale factor 'a'.
The vertex is given as (h, k) = (-4, 7), so the equation will be ...
y = a(x +4)^2 +7
The value of 'a' can be found from the other given point:
8 = a(-3+4)^2 +7
1 = a
So, the equation is ...
y = (x +4)^2 +7