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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 right.

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 left.

2 Answers

5 votes
The last one if it is talking about horizontal shifts.
User Dan Tanner
by
8.1k points
1 vote

Answer:

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

Explanation:

The given expression is


g(x)=f(x+2)

This equation states that function
g(x) is a transformation of function
f(x), specifically, the function is being shifted 2 units left wards, because they are adding 2 units to x-variable.

Therefore, the right answer is the last choice, because it's specifying the correct transformation that defines
g(x).

User Zrr
by
8.3k points

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