- (page 1) A hyperbola has _______ axes of symmetry.
- (page 1) The general equation of a hyperbola is given by
Ax2 + By2 + Cx + Dy + F = 0 where A and B have _________________ signs.
- (page 2) In the equation Ax2 + By2 = P, the hyperbola opens _________ and _________ when A is positive, B is negative and P is positive.
- (page 2) In the equation Ax2 + By2 = P, the hyperbola opens _________ and _________ when A is negative, B is positive and P is positive.
- (page 3) The standard equation of a hyperbola centred at the origin is:
______________________________ when it opens left and right
______________________________ when it opens up and down
- (page 3) In the equation x2/a2 - y2/b2 = 1, the verticies are located at _________ and _________.
- (page 3) In the equation -x2/a2 + y2/b2 = 1, the verticies are located at _________ and _________.
- (page 3a) Each hyperbola has two _______________ whose equations are
y = (b/a)x and y = -(b/a)x.
- (page 5) The standard equation of a hyperbola opening up and down, and has its center at the point (h, k) has the form: _______________________________
- (page 5a) Increasing the value of a in the standard equation ____________________ the slope of Line 1 (the asymptote y = (b/a)x ).
- (page 5a) Decreasing the value of b in the standard equation ____________________ the slope of Line 1 (the asymptote y = (b/a)x ).
- (page 6) The distance between the two vertices is either ______ or ______ (depending on which axis the vertices lie).
- (page 9) A hyperbola is formed when a double-napped cone is cut __________________________________.
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