The document discusses key concepts for circles, ellipses, parabolas, and hyperbolas including their center, radius, equation, vertices, foci, directrix, axis of symmetry, and asymptotes. It also provides examples of the equations of specific circles and their graphs.

1. Center
Radius
Equation
Tangent
Axis of Symmetry
Equation
Direction
Focus
Directrix
Center
Equation
Vertices
Foci
Co-vertices
Center
Equation
Vertices
Foci
Co-vertices
Asymptotes

2. Center
Radius
Equation
Tangent
Axis of Symmetry
Equation
Direction
Focus
Directrix
Center
Equation
Vertices
Foci
Co-vertices
Center
Equation
Vertices
Foci
Co-vertices
Asymptotes

3. Tangent
HORIZONTAL VERTICAL
HORIZONTAL VERTICAL
HORIZONTAL VERTICAL

4. 7 y
6
5
4
3
2
1
x
−7 −6 −5 −4 −3 −2 −1 1 2 3 4 5 6 7
−1
−2
−3
−4
−5
−6
−7
HORIZONTAL VERTICAL

5. 7 y
6
5
4
3
2
1
x
−7 −6 −5 −4 −3 −2 −1 1 2 3 4 5 6 7
−1
−2
−3
−4
−5
−6
−7
HORIZONTAL VERTICAL

6. 7 y
6
The equation of a
5
4
circle with center 3
2
(0,0) and −7 −6 −5 −4 −3 −2 −1
1
1 2 3 4 5 6 7
x
radius, r, is −1
−2
x2 + y2 = r2 −3
−4
−5
−6
−7