Chapter 9.5, Problem 27WE

To determine

To graph:

The following equation:

  $y=\sqrt{x^2-16}$

Explanation of Solution

Given information:

  $y=\sqrt{x^2-16}$

Graph:

  

Interpretation:

The given equation is:

  $y=\sqrt{x^2-16}$

Rewrite as on squaring both sides:

  $\begin{array}{l}{y}^2=x^2-16\\ x^2-y^2=4^2\end{array}$

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

The graph of eq. is shown above on the same co-ordinate axes by using the Desmos graphing calculator.