# How do you graph #y=-abs(x-8)+1#?

See below

When approaching a graphing problem of this nature it may be easier to consider the following steps.

graph{-abs(x-8)+1 [-0.65, 11.84, -3.324, 2.92]}

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To graph the equation ( y = -\lvert x - 8 \rvert + 1 ), you can start by recognizing that it represents the absolute value function shifted horizontally by 8 units to the right and vertically by 1 unit upward. The vertex of the absolute value function is at the point (8, 1). Since the coefficient in front of the absolute value function is negative, the graph will be reflected over the x-axis.

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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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