Question

What is the transverse axis of a hyperbola?

Answer 1

Above figure: $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$
The transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

In this example (hyperbola of equation $\frac{x^2}{2}-\frac{y^2}{4}=1$), the transverse axis is the $X-$Axis

graph $\{x^2/2-y^2/4=1[-10,10,-5.25,5.17\left]\right\}$

In this example (hyperbola of equation $\frac{x^2}{2}-\frac{y^2}{4}=-1$) the transverse axis is the $Y-$Axis

graph $\{x^2/2-y^2/4=-1[-10,10,-5.25,5.17\left]\right\}$