Sketch the graph of `y=|x+3|` and evaluate the area under the curve `y=|x+3|` above x-axis and between `x=6` to `x=0.`

Explanation

To solve the problem step by step, we will first sketch the graph of the function \( y = |x + 3| \) and then calculate the area under the curve from \( x = 0 \) to \( x = 6 \).

### Step 1: Sketch the graph of \( y = |x + 3| \)

1. **Identify the critical point**: The expression inside the modulus, \( x + 3 \), is zero when \( x = -3 \). This point will help us determine the shape of the graph.

2. **Determine the behavior of the function**:
- For \( x \geq -3 \): \( y = x + 3 \)
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