QuestionQuestion Graph the conic $\frac{(y+6)^{2}}{9}-(x+6)^{2}=1$

Studdy Solution
Sketch the graph of the hyperbola:
- Plot the center at $(-6, -6)$. - Plot the vertices at $(-6, -3)$ and $(-6, -9)$. - Draw the asymptotes using the equations $y = 3x + 12$ and $y = -3x - 24$. - Sketch the branches of the hyperbola opening upwards and downwards, approaching the asymptotes.
The graph of the hyperbola is now complete.