Circles, ellipses, parabolas, and hyperbolas
What conic section is x² + y² = 16?
Equation x² + y² = r² represents a circle centered at origin
What is the center of (x-2)²/9 + (y+1)²/4 = 1?
For ellipse (x-h)²/a² + (y-k)²/b² = 1, center is (h,k)
Which equation represents a parabola opening upward?
y = ax² opens upward if a > 0
Find foci of ellipse x²/25 + y²/9 = 1
For horizontal ellipse, foci at (±c,0) where c² = a² - b² = 25-9=16
What conic has equation x²/4 - y²/9 = 1?
Difference of squares in denominator indicates hyperbola