Answer
See attached:
Work Step by Step
Plug values into x to find points to plot on a graph:
$y=−.5$$(-3)^{2}$$+1=−3.5$
$y=−.5$$(-2)^{2}$$+1=−1$
$y=−.5$$(-1)^{2}$$+1=.5$
$y=−.5$$(0)^{2}$$+1=1$
$y=−.5$$(1)^{2}$$+1=.5$
$y=−.5$$(2)^{2}$$+1=−1$
$y=−.5$$(3)^{2}$$+1=−3.5$