The graph is a V-shaped curve centered at x =−2.
To graph the function \(f(x) = |x + 2|\), we can follow these steps:
1. **Identify Key Points:**
- The critical point is where
, which is
.
- Choose additional values for \(x\) to plot points on both sides of \(x = -2\).
2. **Evaluate \(f(x)\):**
- Plug the chosen values into the function to find corresponding \(y\) values.
3. **Plot Points:**
- Plot the identified points on the coordinate plane.
4. **Understand the Absolute Value:**
- Remember that
is always non-negative.
5. **Draw the Graph:**
- Connect the points with a V-shaped curve.
Let's go through these steps:
1. Choose some values for \(x\):

2. Evaluate \(f(x)\):

3. Plot Points:

4. Draw the Graph:
- Connect the points forming a V-shaped curve.