Which stanment best discribes a method that can be weed to sketch the graph. \( y=|x+1| \)

To sketch the graph of the function \( y = |x + 1| \), you can follow these steps: 1. **Identify the Vertex**: The expression inside the absolute value, \( x + 1 \), equals zero when \( x = -1 \). This point, \( (-1, 0) \), is the vertex of the V-shaped graph. 2. **Determine the Direction**: Since the absolute value function opens upwards, the graph will extend upwards from the vertex. 3. **Find Additional Points**: Choose a few values of \( x \) to find corresponding \( y \) values: - For \( x = -2 \): \( y = |-2 + 1| = | -1 | = 1 \) → Point: \( (-2, 1) \) - For \( x = 0 \): \( y = |0 + 1| = |1| = 1 \) → Point: \( (0, 1) \) - For \( x = -3 \): \( y = |-3 + 1| = |-2| = 2 \) → Point: \( (-3, 2) \) 4. **Plot the Points**: Plot the points \( (-1, 0) \), \( (-2, 1) \), \( (0, 1) \), and \( (-3, 2) \) on the graph. 5. **Draw the V-Shape**: Connect the points with straight lines, forming a V shape that opens upwards. In summary, the best statement to describe the method for sketching the graph of \( y = |x + 1| \) is: **Identify the vertex, determine the direction of the graph, find additional points, and then plot and connect these points to form the V shape.**