# How do you graph #y = absx + 2#?

Make a table of

graph{y=absx+2 [-12.84, 12.81, -2.66, 10.17]}

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To graph the equation ( y = |x| + 2 ), follow these steps:

- Identify the vertex and slope-intercept form.
- Plot the vertex on the coordinate plane.
- Use the slope to plot additional points.
- Draw a smooth curve connecting the points.

The vertex of the absolute value function ( y = |x| ) is at the origin (0, 0). Adding 2 to the function shifts the graph vertically upward by 2 units.

Plot the vertex at (0, 2).

Choose points to the left and right of the vertex to determine the slope:

For x = -1, y = |-1| + 2 = 1 + 2 = 3. Plot (-1, 3). For x = 1, y = |1| + 2 = 1 + 2 = 3. Plot (1, 3).

Connect the points with a V-shaped curve that opens upward from the vertex at (0, 2).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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