GRAPH HYPERBOLA CENTER FOCI AND ASYMPTOTES WORKSHEET

1)

a = 3, b = 4

symmetric about y-axis

Center: (0, 0)

Vertices: (0, ±3)

Foci: (0, ±5)

Asymptotes:

2) 

a = 2, b = 4

symmetric about x-axis.

Center: (0, 0)

Vertices: (±2, 0)

Foci:(±2√5, 0)

Asymptotes:

3) 

a = 3, b = 2

symmetric about x-axis.

Center: (1, -2).

Vertices:  (4, -2) and (-2, -2).

Foci: (1 ± √13, -2)

Asymptotes:

5) 

a = 5, b = 3

symmetric about y-axis.

Center: (2, -1).

Vertices: (2, 4) and (2, -6).

Foci: (2, -1 ± √34)

Asymptotes:

5)

a = 5, b = 4

symmetric about y-axis.

Center: (3, -2).

Vertices: (3, 3) and (3, -7).

Foci: (3, -2 ± √41)

Asymptotes:

6)

a = 5, b = 4

symmetric about x-axis.

Center: (2, -3).

Vertices:(7, -3) and (-3, -3).

Foci: (2, ± √41, -3)

Asymptotes: