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Y=|x+1|-2 graph it and show step by step on how to get the points you used to graph.

User Jhonkola
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1. Choose some values for x. For simplicity, let's choose x = -3, -2, -1, 0, 1, and 2. These values will help us determine the corresponding y-values.

2. Substitute each value of x into the equation Y = |x + 1| - 2 to find the corresponding y-values.

- For x = -3: Y = |-3 + 1| - 2 = |-2| - 2 = 2 - 2 = 0

- For x = -2: Y = |-2 + 1| - 2 = |-1| - 2 = 1 - 2 = -1

- For x = -1: Y = |-1 + 1| - 2 = |0| - 2 = 0 - 2 = -2

- For x = 0: Y = |0 + 1| - 2 = |1| - 2 = 1 - 2 = -1

- For x = 1: Y = |1 + 1| - 2 = |2| - 2 = 2 - 2 = 0

- For x = 2: Y = |2 + 1| - 2 = |3| - 2 = 3 - 2 = 1

3. Plot the points on a coordinate plane. The x-values will be plotted on the x-axis, and the corresponding y-values will be plotted on the y-axis.

- (-3, 0)

- (-2, -1)

- (-1, -2)

- (0, -1)

- (1, 0)

- (2, 1)

4. Connect the points with a smooth curve. Since the equation involves absolute value, the graph will have a "V" shape with the vertex at (-1, -2).

The resulting graph will have a "V" shape with the vertex at (-1, -2), and it will pass through the points (-3, 0), (-2, -1), (0, -1), (1, 0), and (2, 1).

User Kujey
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