Chapter 9.5, Problem 28WE

To determine

To graph:

The following equation:

  $y=\sqrt{x^2+1}$

Explanation of Solution

Given information:

  $y=\sqrt{x^2+1}$

Graph:

  

Interpretation:

The given equation is:

  $y=\sqrt{x^2+1}$

Rewrite as on squaring both sides:

  $\begin{array}{l}{y}^2=x^2+1\\ y^2-x^2=1^2\end{array}$

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

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