LESSON: HYPERBOLA

WRITE THE FOLLOWING EWUATIONS IN STANDARD FROM THEN DETERMINE THE CENTER, THE FOCI, THE VERTICES, AND THE EQUATIONS OF THE ASYMPTOMES.

1. 4x - 9y - 24x + 72y - 144 = 0
2. 9y + 54y - x + 4x + 68 = 0

FIND THE EQUATION OF THE HYPERBOLA ( IN STANDARD FORM ) THAT SATISFIES THE FOLLOWING CONDITIONS.

1. vertices: ( -2, 4 ), ( 4, 4 ); foci: ( -3, 4 ), ( 5, 4 )
2. foci: ( -3, -32 ), ( -3, 32 ); conjugate axis: 6 units
3. center: ( 2, 1 ); transverse axis: 8 units: conjugate axis: 6 units