#### Answer

The graph of the equation $y=x^{2}-4$ is a parabola that opens upward with points $(0,-4), (2,0)\: and \:(-2,0)$.

#### Work Step by Step

$$y=x^{2}-4$$
The best way to graph the equation is to find the intercepts by alternately setting the value of $x$ and $y$ to $0$.
Thus, to get the $y-intercept$:
$$y=x^{2}-4$$ $$ y=0^{2}-4$$ $$y= -4$$
To get the $x-intercept$
$$ y=x^{2}-4$$ $$ 0=x^{2}-4$$ Add $4$ to both sides. $$ 0+4=x^{2}-4+4$$ $$ 4=x^{2}$$
Get the squareroot of both sides $$\sqrt 4 = \sqrt x^{2}$$ $$x=±2$$.
Therefore, you now have points $(0,-4), (2,0)\: and \:(-2,0)$.