Answer
The graph of the equation $y=x^{2}+2$ is a parabola that opens upward with points $(0,2), (1,3), (-1,3), (2,6),$ and $(-2,6)$.
Work Step by Step
$$y=x^{2}+2$$ The best way to graph this equation is to set values of $x$, then get the corresponding value of $y$ using the equation.
Thus,
if $x=0$,
$y=x^{2}+2$
$y=0^{2}+2$
$y=2$
if $x=1$
$y=1^{2}+2$
$y=1+2$
$y=3$
if $x=-1$
$y=-1^{2}+2$
$y=1+2$
$y=3$
if $x=2$
$y=2^{2}+2$
$y=4+2$
$y=6$
if $x=-2$
$y=-2^{2}+2$
$y=4+2$
$y=6$
Thus, you have points $(0,2), (1,3), (-1,3), (2,6),$ and $(-2,6)$.
