Question

F(x) = x2 – 3x – 2 is shifted 4 units left. The result is g(x). What is g(x)?

Answer 1

Answer A: g(x) = (x + 4)² - 3(x + 4) - 2

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

f(x) = x² - 3x - 2.

shift 4 units left, f(x + 4) = (x + 4)² - 3(x + 4) - 2

Answer A: g(x) = (x + 4)² - 3(x + 4) - 2