SOLUTION: I wanted to know how to graph the equation of xy=4. I need to find the center and the equations of the asymptotes. Thank you sooo much for your help!!!!!!!!

Question 130959: I wanted to know how to graph the equation of xy=4.
I need to find the center and the equations of the asymptotes.
Thank you sooo much for your help!!!!!!!!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Divide both sides by x to isolate y

In order to graph , we need to plot some points. To do that, we need to plug in some x values to get some y values

So let's find the first point:

Start with the given function

Plug in

Divide -4 into 4 to get -1

So when , we have

So our 1st point is (-4,-1)

-------------- Let's find another point --------------

Start with the given function

Plug in

Divide -3 into 4 to get -1.33333333333333

So when , we have

So our 2nd point is (-3,-1.33333333333333)

-------------- Let's find another point --------------

Start with the given function

Plug in

Divide -2 into 4 to get -2

So when , we have

So our 3rd point is (-2,-2)

-------------- Let's find another point --------------

Start with the given function

Plug in

Divide -1 into 4 to get -4

So when , we have

So our 4th point is (-1,-4)

-------------- Let's find another point --------------

Start with the given function

Plug in

Divide 1 into 4 to get 4

So when , we have

So our 5th point is (1,4)

-------------- Let's find another point --------------

Start with the given function

Plug in

Divide 2 into 4 to get 2

So when , we have

So our 6th point is (2,2)

-------------- Let's find another point --------------

Start with the given function

Plug in

Divide 3 into 4 to get 1.33333333333333

So when , we have

So our 7th point is (3,1.33333333333333)

-------------- Let's find another point --------------

Start with the given function

Plug in

Divide 4 into 4 to get 1

So when , we have

So our 8th point is (4,1)

Now lets make a table of the values we have calculated



 x y

 -4 -1 
 -3 -1.33333333333333 
 -2 -2 
 -1 -4 
 1 4 
 2 2 
 3 1.33333333333333 
 4 1

Now plot the points

Now connect the points to graph (note: the more points you plot, the easier it is to draw the graph)

From this graph, we can see that the center is (0,0), the vertical asymptote is and the horizontal asymptote is
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