Answer:
Y = (x - 11/2)^2 -1/4
Explanation:
subtract g(x) to f(x)
f (x) - g (x) = x^2 -10x +24 -x + 6
f (x) - g (x) = x^2 -11x +30
Let's call Y
Y = x^2 -11x +30
The standard form is by definition as Y = a (x-b)^2 + h
In this specific case:
Y = (x - 11/2)^2 -121/4 + 30
Y = (x - 11/2)^2 -1/4