#### 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,-1. 0, 1, 2
$y= -4x^{2}$
x=-2
$y= -4(-2)^{2}$
$y= -4(-2)(-2)$
$y= -16$
x=-1
$y= -4(-1)^{2}$
$y= -4(-1)(-1)$
$y= -4$
x=0
$y= -4(0)^{2}$
$y= -4(0)(0)$
$y= 0$
x=1
$y= -4(1)^{2}$
$y= -4(1)(1)$
$y= -4$
x=-2
$y= -4(2)^{2}$
$y= -4(2)(2)$
$y= -16$
(-2,-16) (-1,-4) (0,0) (1, -4) (2, -16)