Question

Which steps will translate f(x) = 3x to g(x) = 3x + 1 + 4? Shift f(x) = 3x one unit up and four units to the right. Shift f(x) = 3x one unit up and four units to the left. Shift f(x) = 3x one unit to the right and four units up. Shift f(x) = 3x one unit to the left and four units up.

Answer 1

Shift f(x) = 3x one unit to the left and four units up

Explanation:

put it on test

Answer 2

Shift f(x) = 3x one unit to the left and four units up

Explanation:

We need to translate :

• f(x) = 3x ⇒ g(x) = 3x + 1 + 4

Here we need to use a bit of logic.

• All of the options involve shifting the f(x) graph one unit and four units in various directions.
• To shift the graph up by one by horizontal action, we need to move one unit left so the new equation is 3x + 1
• To shift it up further by 4 vertically, we need to move four units up
• Hence, our final function g(x) is given as :
• g(x) = 3x + 1 + 4