Question

The graph of a hyperbola is shown.

What is the length of the transverse axis?

A. 9 units

B. 12 units

C. 18 units

D. 24 units

Answer 1

C. 18 units

Explanation:

The transverse axis of the hyperbola is a line passing through two vertices of the hyperbola via the center point.

In the given hyperbola, the two vertices correspond to the points (0,-9) and (0,9). The line segment passing through these points also passes through the center namely (0,0). The length of this line segment is given by (9+9) or 18 units.Hence option C is the correct option.

Answer 2

Answer:the length of the transverse axis is 18 units. Option C is the correct answer

Explanation:

The transverse axis is the line segment which passes through the center of the hyperbola and its endpoints are the vertices of the hyperbola. Looking at the diagram of the hyperbola given, it has two foci at - 15 and 15 on the x axis. It has two vertices at - 9 and 9 on the x axis. Therefore the length of the transverse axis is -9 to 9. It becomes

9 - - 9 = 18