Answer
Graph:
Work Step by Step
The equation $y=x^{2}-4$ 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.
$y=(-2)^{2}-4$=$0$
$y=(-1)^{2}-4$=$-3$
$y=(0)^{2}-4$=$-4$
$y=(1)^{2}-4$=$-3$
$y=(2)^{2}-4$=$0$
The five coordinates to graph are $(-2,0)$,$(-1,-3)$,$(0,-4)$,$(1,-3)$,$(2,0)$.