Answer
The graph and data table are shown below
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
$y= \frac{2}{3}x^{2}$
x=-3
$y= \frac{2}{3}(-3)^{2}$
$y= \frac{2}{3}(-3)(-3)$
$y= 6$
x=0
$y= \frac{2}{3}(0)^{2}$
$y= \frac{2}{3}(0)(0)$
$y= 0$
x=3
$y= \frac{2}{3}(3)^{2}$
$y= \frac{2}{3}(3)(3)$
$y= 6$
(-3,6) (0,0) (3, 6)
We plot the points and connect the graph to get the final graph
