Chapter 6.3, Problem 5QR

Solution

To find: The function and graph the given function.

The functions are $y=-\sqrt{8x}\text{and}y=\sqrt{8x}$ . The graph of both the equations is shown in figure (1).

Given information:

The function is $y^2=8x$ .

Calculation:

The two functions can be found by solving for $y$ . Take the square root of both sides.

  $\begin{array}{c}y=\pm \sqrt{8x}\\ y=-\sqrt{8x}\text{and}y=\sqrt{8x}\end{array}$

The two graphs are square root functions that are reflections of each other across the $x$ -axis as shown below.

  

Figure (1)

Therefore, the graph of both the equations is shown in figure (1).