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
1 answer:
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]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%5C%5Cc%5C%5C%5Cend%7Barray%7D%5Cright%5D)
• 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
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