Answer:
g(x) = (x - 5)² - 6(x - 5) + 9
Step-by-step explanation:
f(x) + n - shift the graph n units up
f(x) - n - shift the graph n units down
f(x + n) - shift the graph n units left
f(x - n) - shift the graph n units right
You have f(x) = x² - 6x + 9
Shift 5 units to the right. you get
f(x - 5) = (x - 5)² - 6(x - 5) + 9