
Rectangular Hyperbolas
Rectangular
Hyperbolas (or Equilateral Hyperbolas) are hyperbolas in the form of:
xy = k, where k ¹
0. 1) The branches of the hyperbola lie in Quadrant I and III 2) The center is (0, 0) 3) The asymptotes are the x axis and the yaxis. 4) The Transverse axis of symmetry is: y = x 5) The Conjugate axis of symmetry is: y = x 6) The Domain is the set of all real numbers, except x 0. 7) The vertices are located where the transverse axis intersects the graph of the hyperbola.
If k = a negative number, then 1) The branches of the hyperbola lie in Quadrant II and IV 2) The center is (0, 0) 3) The asymptotes are the x axis and the yaxis. 4) The Transverse axis of symmetry is: y = x 5) The Conjugate axis of symmetry is: y = x 6) The Domain is the set of all real numbers, except x 0. 7) The vertices are located where the transverse axis intersects the graph of the hyperbola.

