Question

The function f(x) = x2 – 6x + 9 is shifted 5 units to the right to create g(x). What is g(x)? 3

A.g(x) = (x + 5)2 – 6(x + 5) + 9

B.g(x) = (x2 – 6x + 9) – 5

C.g(x) = (x2 – 6x + 9) + 5

D.g(x) = (x – 5)2 – 6(x – 5) + 9

Answer 1

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

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We have f(x) = x² - 6x + 9

Shift 5 units to the right. Therefore

f(x - 5) = (x - 5)² - 6(x - 5) + 9

Answer: D. g(x) = (x - 5)² - 6(x - 5) + 9