Chapter 9.8, Problem 1GP

To determine

To calculate: To graph the function

Answer to Problem 1GP

Graph is plotted

Explanation of Solution

Given information: Function is $y=\frac{1}{4}{x}^2$

Calculation:

Function is given as

$y=\frac{1}{4}{x}^2$

When $x=0$

$y=\frac{1}{4}{\left(0\right)}^2=0$

When $x=1$

$y=\frac{1}{4}{\left(1\right)}^2=\frac{1}{4}$

When $x=-1$

$y=\frac{1}{4}{\left(-1\right)}^2=\frac{1}{4}$

When $x=2$

$y=\frac{1}{4}{\left(2\right)}^2=1$

When $x=-2$

$y=\frac{1}{4}{\left(-2\right)}^2=1$

When $x=4$

$y=\frac{1}{4}{\left(4\right)}^2=4$

When $x=-4$

$y=\frac{1}{4}{\left(-4\right)}^2=4$

Function table is

x	y
-4	4
-2	1
1	$\frac{1}{4}$
0	0
1	$\frac{1}{4}$
2	1
4	4

Plotting the points on graph:

Conclusion:

Hence, graph is plotted