1. The geometric shapes obtained by slicing a double-napped cone
Conic Sections
The geometric shapes obtained by slicing a double-napped cone
A cone is formed when two lines meet at an acute angle and one of the lines is rotated around the other

2. Circle

3. Ellipse

4. Parabola

5. Hyperbola

6. Ellipse
The set of all points (x,y) the sum of whose distances from two distinct fixed points(foci) is constant

7. MINOR AXIS
CENTER
(h,k)
MAJOR
AXIS
Vertex

9. (x-h)^2 + (y-k)^2 = 1 a^2 b^2 Standard Equation of an Ellipse
(h,k) is the center of the circle
a is ½ of the major axis
b is ½ of the minor axis

10. Eccentricity e = c/a c^2 = a^2 – b^2
Measures the ovalness of an ellipse
e = c/a
If c/a is small the ellipse is circular
If c/a is close to 1 then the ellipse is elongated
c^2 = a^2 – b^2