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)
