Graph the rational function

To graph the function, draw the horizontal and vertical asymptotes (if any) and plot at least three points on each piece of the graph.
Then click on the graph icon.

Question

Graph the rational function

To graph the function, draw the horizontal and vertical asymptotes (if any) and plot at least three points on each piece of the graph. 
Then click on the graph icon.

anonymous · Answer

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btaylor · Answer

For a rational function of the form $y=\frac{a}{x-h}+k$, the vertical asymptote is at $x=h$ and the horizontal asymptote is at $y=k$.  $a$ is the stretch factor, the number that says how vertically expanded/contracted the graph is. In order to use this form, you need to get rid of the negative coefficient of x, so factor a -1 out of both top and bottom. Then find h and k.

anonymous · Answer

The x asymptote is -1. the y asymptote is 0. how do I find the points?

btaylor · Answer

You got the asymptotes right. Since your new rational function is $$y=\frac{2}{x+1}$$ just pick several values of x (i'd so -3,-2,0,1,2,3 - not - since that is undefined) and plug them in to find the corresponding y-values.