Question

Select the correct answer.

Consider the function f(x) = 3x and the function g, which is shown below.
g(s) ft
= () – 2 = 3+ – 2
How will the graph of g differ from the graph of f?
OA
The graph of g is the graph of fshifted 2 units up.
B.
The graph of g is the graph of fshifted 2 units to the left.
C.
The graph of g is the graph of fshifted 2 units to the right.
D.
The graph of g is the graph of fshifted 2 units down.

Answer 1

D. The graph of g is the graph of f shifted 2 units down.

Explanation:

Transformations

f(x) - a : vertical shift of "a" units down

f(x) + a : vertical shift of "a" units up

f(x - a) : horizontal shift of "a" units to the right

f(x + a) : horizontal shift of "a" units to the left

If g(x) = f(x) - 2

Then g(x) is f(x) shifted 2 units down.