math

### Circle

Standard Form: x²+y²=r²

Translation: (x-h)²+(y-k)²=r²

Center: Opposite of (h,k)

Radius: Square root of r²

### Parabola

Standard Form: y=x²

Translation: y=(x-h)²+k

Vertex: (h,k)

Focus: Vertical-(h, k+c) Horizontal-(h+c,k)

Directrix: Vertical-y=k-c Horizontal-x=h-c

A or C: a=1/4c

### Vertical Hyperbola

Standard Form:y²/a²-x²/b²=1

Translation Form:(y-k)²/a²-(x-h)²/b²=1

Vertices:(0,+- a) ; (h, k+-a)

Foci: (0, +-c); (h, k+-c)

Asymptotes: y-k=+-a/b*(x-h)

A,B,C Relationship:c²=a²+b²

### Horizontal Hyperbola

Standard Form:x²/a²-y²/b²=1

Translation Form:(y-k)²/a²-(x-h)²/b²=1

Vertices:(0,+- a) ; (h+-a, k)

Foci: (0, +-c); (h+-c,k)

Asymptotes: y-k=+-b/a*(x-h)

A,B,C Relationship:c²=a²+b²

### Vertical Ellipse

Standard Form: (x-h)²/b² + (y-k)²/a²=1

Vertices:(0,+-a) or (h,k+-a)

Co-Vertices: (+-b,0) or ((h +-b, k)

Foci: (0,+-c) or (h, k+-c)

A,B,C Relationship: c²=a²-b²