Home > A2C > Chapter 13 > Lesson 13.1.1 > Problem13-22

13-22.

Using the intercepts and slopes of the asymptotes as a guide, graph each hyperbola without using a graphing calculator.

1. $\frac { y ^ { 2 } } { 4 } - \frac { x ^ { 2 } } { 25 } = 1$

$\text{Intercepts: } (0,\pm2)$

$\text{Asymptotes: } y=\pm\frac{2}{5}x$

1. $x^{2} − y^{2} = 9$

Intercepts: $\left(±3, 0\right)$
Asymptotes: $y = ± x$