Question

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

Answer 1

A

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.