Answer
The graph and data table are shown below
![](https://gradesaver.s3.amazonaws.com/uploads/solution/9220239c-cba8-4baa-a9e7-7c74e72e5793/result_image/1526509265.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T011950Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=bf4879cd9e3159c2b243ab3bbd2bef70b7a4e832ada92ab631b0b3ae6b34fd40)
Work Step by Step
To graph the given equation we calculate the domain and range and plot the points.
We calculate the range for the values x= -3, 0, 3
$y=2/3x^2$
x=-3
$y=23(−3)2$
y=2/3(−3)(−3)
y=6
x=0
$y=2/3(0)^2$
y=2/3(0)(0)
y=0
x=3
$y=2/3(3)^2$
y=2/3(3)(3)
y=6
(-3,6) (0,0) (3, 6)
We plot the points and connect the graph to get the final graph