SAMPLE

1. Other Characteristics
of Conic Sections

2. CIRCLE
Both 𝑥2
and 𝑦2
appear and their
coefficients are the same.
𝐴𝑥2
+ 𝐴𝑦2
+ 𝐶𝑥 + 𝐷𝑦 + 𝐸 = 0
Example:
18𝑥2
+ 18𝑦2
− 24𝑥 + 48𝑦 − 5 = 0

3. PARABOLA
Exactly one of 𝑥2
or 𝑦2
appears
𝐴𝑥2
+ 𝐶𝑥 + 𝐷𝑦 + 𝐸 = 0 D ≠

4. ELLIPSE
Both 𝑥2
and 𝑦2
appear and their coefficients are
the same.
Example:
3x2 − 12x + 2y + 26 = 0 (opens downward)
− 2y2 + 3x + 12y − 15 = 0 (opens to the right)