Question

Given g(x) = 3x – 3, what function h(x) would represent a downward shift by two units? A) h(x) = 5x – 3 B) h(x) = x – 3 C) h(x) = 3x – 1 D) h(x) = 3x – 5

Answer 1

Answer:

D

Step-by-step explanation:

given a function f(x) then

f(x) + c represents a vertical translation of $\left[\begin{array}{ccc}0\\c\\\end{array}\right]$

• If c > 0 then upward shift of c units

• If c < 0 then downward shift of c units

here g(x) is shifted down by 2 units ⇒ c = - 2

h(x) = 3x - 3 - 2 = 3x - 5 → D