Answer
Graph is shown in the picture
Work Step by Step
$\dfrac {x^{2}}{100}-\dfrac {y^{2}}{64}=1\Rightarrow y^{2}=64\left( \dfrac {x^{2}}{100}-1\right) =\dfrac {16x^{2}}{25}-1$
$$\Rightarrow y=\pm \sqrt {\dfrac {16x^{2}-25}{25}}$$
Now we can graph this function using graphing calculator as asked in question