Q. 12 - Precalculus Enhanced with Graphing Utilities

Question

Graph the equation: 

$x=y^2$

Step-by-Step Solution

Answer

The graph of the given equation is: 

Step 1. Given Information

The given equation is $x=y^2$

Step 2. Make a table for values

Table of values for $x$ and $y$ is:

y	$x=y^2$
$-2$	$$\begin{gathered} x={(-2)}^2 \\ x=4 \end{gathered}$$
$-1$	$$\begin{gathered} x={\left(-1\right)}^2 \\ x=1 \end{gathered}$$
$0$	$$\begin{gathered} x=0^2 \\ x=0 \end{gathered}$$
$1$	$$\begin{gathered} x=1^2 \\ x=1 \end{gathered}$$
$2$	$$\begin{gathered} x=2^2 \\ x=4 \end{gathered}$$

Step 3. Graph the function

Plotting these points on the same cartesian plane and joining them to find them, we get: