Answer:
x^2 + 9x + 30 = 0
Step-by-step explanation:
Given: f(x) = x² – 10x + 24
g(x) = x – 6
f(- x) = g(x) :
(-x)² - 10(- x) + 24 = x - 6
x² + 10x + 24 - x + 6 = 0
Result: x² + 9x + 30 = 0
Answer:
Y = (x - 11/2)^2 -1/4
Step-by-step 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
