Answer
Graph is shown in the picture
Work Step by Step
$\dfrac {y^{2}}{2}-\dfrac {x^{2}}{6}=1\Rightarrow 3y^{2}-x^{2}=6$
$$\Rightarrow y=\pm \sqrt {\dfrac {6+x^{2}}{3}}$$
Now we can graph this function using graphing calculator as asked in question
