Posted by Jed on Friday, May 6, 2011 at 1:07am.
These are all hyperbolas.
Look at wwhat happens when y = 0 (on the x axis) and when x = 0 (on the y axis)
In all cases, when y = 0, there are two real solutions for x. In the first one for example when y = 0, x = 2 or x = -2
However when x = 0, there is no real solution for y. In other words the hyperbolas never reach the y axis and open left and right. All foci are therefore located on the x axis.
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