Answer
Graph is shown in the picture
Work Step by Step
$3y^{2}-4x^{2}=24\Rightarrow 3y^{2}=24+4x^{2}$
$$\Rightarrow y=\pm \sqrt {\dfrac {4}{3}\left( 6+x^{2}\right) }$$
Now we can graph this function using graphing calculator as asked in question
