Answer
Plot the points $(-3,-5.5),(-2,2),(0,8),(2,2),(3,-5.5)$ and join them with a smooth curve
Work Step by Step
We are given the equation:
$y=-1.5x^2+8$
Determine 5 points belonging to the graph:
$x=-3\Rightarrow y=-1.5(-3)^2+8=-5.5$
$x=-2\Rightarrow y=-1.5(-2)^2+8=2$
$x=0\Rightarrow y=-1.5(0^2)+8=8$
$x=2\Rightarrow y=-1.5(2^2)+8=2$
$x=3\Rightarrow y=-1.5(3^2)+8=-5.5$
Plot the points $(-3,-5.5),(-2,2),(0,8),(2,2),(3,-5.5)$ and join them with a smooth curve to graph the function: