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= -1, -2, -3
$y= -2x^{2} - 8x - 3$
x=-1
$y= -2x^{2} - 8x - 3$
$y= -2(-1)^{2} - 8(-1) - 3$
$y= 3$
x=-2
$y= -2x^{2} - 8x - 3$
$y= -2(-2)^{2} - 8(-2) - 3$
$y= 5$
x=-3
$y= -2x^{2} - 8x - 3$
$y= -2(-3)^{2} - 8(-3) - 3$
$y= 3$
We plot the points and connect the graph to get the final graph
(-1,3) (-2,5) (-3,3)
