Answer:
g(x) = - 1/2 * (x^2 - 8x + 12)
Step-by-step explanation:
Given the information, you have provided.
Zeros: (2,0) and (6,0).
Maximum: (4,2) which is also your (h,k)
f(x) = - (x - 2)*(x - 6)
g(x) = - 1/2 * (x^2 - 8x + 12)
I do not know how to explain this, but -1/2 makes the graph get (4,2) as the maximum.
The red graph is f(x) = - (x - 2)*(x - 6)
The blue graph is your answer g(x) = - 1/2 * (x^2 - 8x + 12)
