Answer
$y_1=7\sqrt {\frac{x^2}{25}-1}$, $y_2=-7\sqrt {\frac{x^2}{25}-1}$
Work Step by Step
1. Rewrite the equation as $y^2=49(\frac{x^2}{25}-1)$ or $y=\pm7\sqrt {\frac{x^2}{25}-1}$
2. We can identify the blue curve as $y_1=7\sqrt {\frac{x^2}{25}-1}$
3. We can identify the red curve as $y_2=-7\sqrt {\frac{x^2}{25}-1}$