📚 How to plot a hyperbola using a table of values and graph

Q. Plot the hyperbola equation xy=−4 for values of x from −4 to +4. Find the foci.

x −4 −3 −2 −1 0 1 2 3 4
y

What you'll need:

Hyperbola axes rotated 45°: (xy=k)

Note: When k is negative, the hyperbola lies in the 2nd and 4th quadrants. When k is positive, the hyperbola lies in the 1st and 3rd quadrants.