## Intermediate Algebra: Connecting Concepts through Application

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 $(-2,0)$,$(-1,-3)$,$(0,-4)$,$(1,-3)$,$(2,0)$.