### Home > A2C > Chapter 11 > Lesson 11.2.6 > Problem11-118

11-118.

Decide whether each of the following hyperbolas is oriented horizontally or vertically. That is, decide whether the transverse axis is horizontal or vertical. How can you tell?

1. $\frac { x ^ { 2 } } { 10 } - \frac { y ^ { 2 } } { 5 } = 1$

Notice which term (x2 or y2) is negated. What does this indicate about the orientation?

If you can't remember which term corresponds to which orientation, try setting either x or y to 0. In which case is the function defined?

The transverse axis is horizontal.

1. $\frac { y ^ { 2 } } { 6 } - \frac { x ^ { 2 } } { 16 } = 1$

See part (a).

1. $\frac { ( y - 2 ) ^ { 2 } } { 10 } - \frac { ( x - 5 ) ^ { 2 } } { 7 } = 1$

See part (a).