Chapter 9.5, Problem 24WE

To determine

To graph:

The following conjugate hyperbolas:

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

Explanation of Solution

Given information:

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

Graph:

  

Interpretation:

The given conjugate hyperbolas equations are:

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

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

The graph of eq. (1) by blue color and (2) by red color is shown above on the same co-ordinate axes by using the Desmos graphing calculator.