Answer
The graph and 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, -1 0, 1, 2
$y= 3x^{2}$
x=-2
$y= 3(-2)^{2}$
$y= 3(-2)(-2)$
$y= 12$
x=-1
$y= 3(-1)^{2}$
$y= 3(-1)(-1)$
$y= 3$
x=0
$y= 3(0)^{2}$
$y= 3(0)(0)$
$y= 0$
x=1
$y= 3(1)^{2}$
$y= 3(1)(1)$
$y= 3$
x=2
$y= 3(2)^{2}$
$y= 3(2)(2)$
$y= 12$
(-2,12) (-1,3) (0,0) (1,3) (2, 12)
We plot the points and connect the graph to get the final graph
