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