Vocabulary
Foci
Center
Vertices
Co-vertices
100

Any curve produced by the intersection of a plane and a right circular cone.

What are conics?

100

(x-6)2/36-(x+5)2/49=1

(15.2,−5) and (−3.2,−5)

100

(y+7)2/4-(x-9)2/81=1

(9,−7)

100

(y−8)2/16-(x+3)2/9=1

(−3,12) and (−3,4)

100

(y+9)2/49-(x-4)2/4=1

(2,−9) and (6,−9)

200

An open curve with two branches, the intersection of a plane with both halves of a double cone.

What is a hyperbola?

200

(y+1)2/25-(x+2)2/64=1

  (−2,8.4) and (−2,−10.4)

200

(x+1)2/9-(y+1)2/49=1

(−1,−1)

200

(y-4)2/64-(x+1)2/49=1

 (−1,12) and (−1,−4)


200

(y+3)2/25-(x+2)2/49=1

(−9,−3) and (5,−3)

300

the set of all points in the plane that are a fixed distance (the radius) from a fixed point (the centre).

What is a Circle?

300

(y-8)2/25-(x-7)2/16=1

(7,14.4) and (7,1.6)

300

(y+7)2/9-(x+3)2/49=1

(-3,-7)

300

(x+8)2/36-(y-4)2/25=1

(−14,−4) and (−2,−4)

300

(x-1)2/81-(y-6)2/4=1

Co-vertices: (1,8) and (1,4)

400
A regular oval shape, traced by a point moving in a plane so that the sum of its distances from two other points (the foci) is constant, or resulting when a cone is cut by an oblique plane which does not intersect the base.


What is a Ellipse?

400

(x+5)2/25-(y-1)2/64=1

Foci: (4.4,1) and (−14.4,1)

400

(x+5)2/9-(y+3)2/16=1

Center: (−5,−3)

400

(y-5)2/25-(x+7)2/49=1

Vertices: (−7,10) and (−7,0)

400

(x+8)2/81-(y-5)2/25=1

Co-vertices: (−8,10) and (−8,0)

500

special points with reference to which any of a variety of curves is constructed.

What is Foci?

500

(y+2)2/25-(x-9)2/81=1

Foci: (9,8.3) and (9,−12.3)

500

(y+5)2/36-(x-3)2/49=1

Center: (3,−5)

500

(y-1)2/25-(x+5)2/81=1

Vertices: (−5,6) and (−5,−4)

500

(y-3)2/4-(x+4)2/49=1

Co-vertices: (−11,3) and (3,3)

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