# How do you graph #y=abs(x-2)#?

See below:

We can notice a couple of things right off:

and so on.

The graph ends up looking like this:

graph{abs(x-2) [-7.21, 12.79, -2.12, 7.88]}

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To graph the equation (y = \lvert x - 2 \rvert), plot the vertex at (2, 0) and the points to the left and right of the vertex. The graph is a V-shape opening upwards.

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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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