Problem:
Given the equation $-3 x^2-8 x-4 y+9=0$, rewrite and classify the conic and state relevant properties.
Answer:
Classification: Parabola
Equation: $-3 x^2-8 x-4 y=-9$
Vertex: $\left\{-\frac{4}{3},\frac{43}{12}\right\}$
Directrix: $y=\frac{47}{12}$
Focal Parameter: $\frac{2}{3}$
Focus: $\left\{-\frac{4}{3},\frac{13}{4}\right\}$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/conic_sections/36853.txt'}