Hyperbolas
Hyperbolas
Hyperbolas
Transverse Axis
x-axis
A hyperbola centered at (0, 0) whose transverse axis is along the x-axis has the following equation in standard form.
Vertices: (a, 0) and (-a, 0)
Foci: (c, 0) and (-c, 0), where c2 = a2 + b2
Equation of asymptote lines: 
y-axis
A hyperbola centered at (0, 0) whose transverse axis is along the y-axis has the following equation in standard form.
In general, when a hyperbola is written in standard form, the transverse axis is along, or parallel to, the axis of the variable that is not being subtracted.
Vertices: (0, a) and (0, -a)
Foci: (0, c) and (0, -c), where c2 = a2 + b2
Equation of asymptote lines:
Foci: (0, c) and (0, -c), where c2 = a2 + b2
Equation of asymptote lines:
In general, when a hyperbola is written in standard form, the transverse axis is along, or parallel to, the axis of the variable that is not being subtracted.