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= -2, 0, 2
$y= 1.5x^{2}$
x=-2
$y= 1.5(-2)^{2}$
$y= 1.5(-2)(-2)$
$y= 6$
x=0
$y= -1.5(0)^{2}$
$y= -1.5(0)(0)$
$y= 0$
x=2
$y= -1.5(2)^{2}$
$y= -1.5(2)(2)$
$y= 6$
(-2,6) (0,0) (2, 6)
We plot the points and connect the graph to get the final graph
