Chapter 4 - 4.3 - Conics - 4.3 Exercises - Page 339: 76

Vertices: $(0,±3$ Asymptotes: $y=±3x~~$ (Black lines)

Standard form when transverse axis is vertical: $\frac{y^2}{a^2}-\frac{x^2}{b^2}=1$ $\frac{y^2}{3}-3x^2=3$ $\frac{y^2}{9}-\frac{x^2}{1}=1$ $a^2=9$ $a=3$ $b^2=1$ $b=1$ Vertices when transverse axis is vertical: $(0,±a)=(0,±3)$ Asymptotes when transverse axis is vertical: $y=±\frac{a}{b}x$ $y=±\frac{3}{1}x=±3x$