A hyperbola centered at the origin (0, 0) crosses the x-axis at (11, 0) and (-11, 0). Which of these could be the equation for this hyperbola?
+130511 There are infinite possibilites for this....
The equation will be in the form
x^2 / 121 - y^2 / b^2 = 1 where "a" = 11 and a^2 = 121
Here's a graph when b = 5.........https://www.desmos.com/calculator/ptqorqve0j
Here's a graph when b = 13.........https://www.desmos.com/calculator/tmv8vqrcl6
As "a" stays constant and "b" increases, the branches of the hyperbola are less "curved," and the focal points move further from the center.......(as expected)
Finally....here's a graph when b = 100........https://www.desmos.com/calculator/26r6fevyc3
Notice that the hyperbola appears to be almost "upright" !!!
+118723 This looks pretty yucky
http://www.wolframalpha.com/input/?i=hyperbola+through+%2811%2C0%29+and+%28-11%2C0%29
This is the best I've got 
+130511 There are infinite possibilites for this....
The equation will be in the form
x^2 / 121 - y^2 / b^2 = 1 where "a" = 11 and a^2 = 121
Here's a graph when b = 5.........https://www.desmos.com/calculator/ptqorqve0j
Here's a graph when b = 13.........https://www.desmos.com/calculator/tmv8vqrcl6
As "a" stays constant and "b" increases, the branches of the hyperbola are less "curved," and the focal points move further from the center.......(as expected)
Finally....here's a graph when b = 100........https://www.desmos.com/calculator/26r6fevyc3
Notice that the hyperbola appears to be almost "upright" !!!
