Which statement correctly describes the relationship between the graph of f (x) and the graph of g (x) = f (x) + 3?

The graph of g (x) is the graph of f (x) translated 3 units right .

The graph of g (x) is the graph of f (x) translated 3 units left .

The graph of g (x) is the graph of f (x) translated 3 units up.

The graph of g (x) is the graph of f (x) translated 3 units down .

Question

Mathematics

Caitlyn Bonilla

11 May, 05:48

Which statement correctly describes the relationship between the graph of f (x) and the graph of g (x) = f (x) + 3?

The graph of g (x) is the graph of f (x) translated 3 units right .

The graph of g (x) is the graph of f (x) translated 3 units left .

The graph of g (x) is the graph of f (x) translated 3 units up.

The graph of g (x) is the graph of f (x) translated 3 units down .

+1

Answers (1)

Know the Answer?

Giovanna Stephens · Answer 1

The graph of g (x) is the graph of f (x) translated 3 units up.

Step-by-step explanation:

Adding 3 to the function will change its input. It will add 3 units to every output and slide the entire function up three units by translation.

Example: f (x) = x f (x) + 3 = x+3

f (1) = 1 f (1) + 3 = 1+3 = 4