Question

Graph the function defined by f(x) = (x+21)

Answer 1

Answer:

A

Step-by-step explanation:

Consider the parent function $y=|x|.$ The graph of this function is represented as red graph in attached diagram.

Now consider the function $y=|x+2|.$

Remind main translations of the graph of the function $y=f(x):$

• $y=f(x-a)$ - translation a units to the right;
• $y=f(x+a)$ - translation a units to the left;
• $y=f(x)+a$ - translation a units up;
• $y=f(x)-a$ - translation a units down.

In your case, the graph of the function $y=|x+2|$ is translated graph of the function $y=|x|$ 2 units to the left (blue graph). So, correct answer is option A.