SOLUTION: How would you graph the hyperbola {{{x^2 - y^2 = 4}}}?? And does the center of the hyperbola HAVE to be on (0,0)? Because I worked it out the best that I could, and I got the ce

Question 90317This question is from textbook Elementary and Intermediate Algebra
: How would you graph the hyperbola ??
And does the center of the hyperbola HAVE to be on (0,0)? Because I worked it out the best that I could, and I got the center at (2,0) I'm thinking that I did something wrong, though. Could you please help? Thanks This question is from textbook Elementary and Intermediate Algebra

Found 2 solutions by stanbon, Earlsdon:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The x-intercepts are at (2,0), (-2,0)
The center (which is not a point on the hyperbola) is (0,0)
Cheers,
Stan H.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!

Write your equation in the standard form for a hyperbola with the center at (0, 0) and the vertices on the x-axis.:
Divide both sides by 4.
Rewrite as:

Let's see what the graph looks like!

The center is at (0, 0) and the assymptotes are:
and or, in this case:
and
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