[tex]Answer: y =\dfrac{1}{2}(x +2)^{2}+[/tex]Answer:
Step-by-step explanation:
Vertex form of quadratic function: y =a(x -h)² + k
Where (h,k) is the vertex
vertex (-2 , 6)
y = a(x -[-2])² + 6
y = a(x + 2)² + 6
This is passing through (-4,8)
8 = a(-4 + 2)² + 6
8 = a(-2)²+ 6
8 = 4a +6
8 - 6 = 4a
4a = 2
a = 2/4
a = 1/2
[tex]Answer: y =\dfrac{1}{2}(x +2)^{2}+6[/tex]
