#### Answer

Graph:

#### Work Step by Step

The equation $y=x^{2}+2$ will actually create a parabola because of $x$ being to a power of, in this case, 2.
Plug and chug to find five points on the graph. Let's use -2,-1,0,1 and 2 as the five x-coordinates in order to keep the points symmetrical to one another. However, you can use any five values of x.
$y=(-2)^{2}+2$=$6$
$y=(-1)^{2}+2$=$3$
$y=(0)^{2}+2$=$2$
$y=(1)^{2}+2$=$3$
$y=(2)^{2}+2$=$6$
The five coordinates to graph are $(-2,6)$,$(-1,3)$,$(0,2)$,$(1,3)$,$(2,6)$.