Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.xy +16 = 0
A. ? = 45°
- 
= 1
hyperbola
center at (0, 0)
transverse axis is y'-axis
vertices at (0, ±4
)
B. ? = 45°
+ 
= 1
ellipse
center at (0, 0)
major axis is y'-axis
vertices at (0, ±4
)
C. ? = 45°
y'2 = -32x'
parabola
vertex at (0, 0)
focus at (-8, 0)
D. ? = 36.9°
+ 
= 1
ellipse
center at (0, 0)
major axis is the x'-axis
vertices at (±2, 0)
Answer: A
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