136k views
4 votes
Which statement correctly describes the relationship between the graph of f(x) and g(x)=f(x+2) ?

The graph of g(x) is the graph of ​f(x)​ translated 2 units down.

The graph of g(x) is the graph of ​f(x)​ translated 2 units up.

The graph of g(x) is the graph of ​f(x)​ translated 2 units right.

The graph of g(x) is the graph of ​f(x)​ translated 2 units left.

User Petezurich
by
8.3k points

2 Answers

5 votes

Answer:

The graph of g(x) is the graph of ​f(x)​ translated 2 units left

Explanation:

User Rboling
by
7.8k points
4 votes

Answer:

The graph of g(x) is the graph of ​f(x)​ translated 2 units left.

Explanation:

When a change is made inside the parenthesis to the input, the function shifts left and right. Addition shifts it left while subtraction shifts it to the right. Here it is translated two units to the left.

Example: f(x) = x
f(x+2) = x_(n+2)

f(5) = 5 x+2 = 5

x+2-2 = 5-2

x=3 and f(3) = 3

f(5) = 3

This is so because 5 now matches to the output of two previous which is 3.

User Don Question
by
8.9k points

No related questions found