Q. 62 - Precalculus Enhanced with Graphing Utilities

Question

In Problems 62, draw a quick sketch of each equation.

$x=y^2$

Step-by-Step Solution

Answer

The graph is shown below:

Step 1: Given information

The given equation is $x=y^2$.

Step 2: Make a x y table

Rewrite the given equation in term of $y$.

$y=\pm \sqrt{x}$

$x$	$y$
$0$	$\pm \sqrt{0}=0$
$1$	$\pm \sqrt{1}=\pm 1$
$4$	$\pm \sqrt{4}=\pm 2$

Step 3: Plot the points.

Plot the points $(0,0),(1,1),(1,-1),\left(4,-2\right)$ and $(4,2)$.

Step 4: Join the points.

Join the above points.

Step 5: Write the conclusion

The final graph is shown below: