Lilliana Livingston

2022-07-20

How to graph the equation: $y=\frac{x-2}{x+1}$ ?

palatinizi

Expert

Rewrite as $y=1-3/\left(x+1\right)$, or $\left(y-1\right)=-3/\left(x+1\right)$
This is simply the regular recriprocal equation, with the axies rescaled. The standard Y axis, representing X=0, is now marked x=-1. That is, the x-numbers are moved one to the right. The old X axis of 0,1,2,3 become -1, 0, 1, 2..
The old X axis, or Y=0 becomes y=1, and we have to rescale by a factor of 3. So the old Y coordinates 0, 1, 2, 3... become 1, -2, -5, -8...
And that's it.

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