Answer:
option c
Step-by-step explanation:
Quadratic function in vertex form:
y = a(x - h)² + k
Where (h, k) is the vertex
vertex(5 , 12)
y = a(x - 5)² + 12
This passes through (8, 9)
9 = a(8 - 5)² + 12
9 = a(3)² + 12
9 = 9a + 12
9 - 12 = 9a
9a = -3
a = -3/9
a = -1/2
[tex]Answer:\ y = \dfrac{-1}{3}(x - 5)^{2}+12[/tex]
