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Vocabulary
Complete the chart.
Word  Definition 
Hyperbola  ________________________________________________________________ 
________________  a shape is so large that no circle, no matter how large, can enclose the shape 
________________  a line which a curve approaches as the curve and the line approach infinity 
Perpendicular hyperbola  ________________________________________________________________ 
Hyperbolas
Hyperbolas two foci, and they can be defined as the set of points in a plane whose distances to these two points have the same difference . So in the picture below, for every point
What is the general form for a hyperbola that opens upwards and downwards and whose foci lie on the
What is the shifted equation for a hyperbola that is centered around the point
Left and right? ___________________________
.
Sketch the Hyperbolas:

y24−(x−1)24=9 
(x−2)29−(y+4)24=1 
(x−3)29−(y+1)216=1
Identify the equation of the hyperbola using the image:
Asymtotes
For a hyperbola of the form
_______________________ _______________________
What about the form
_______________________ _______________________
.
Find the equations of the asymptotes:

(x−1)21−9(y+4)21=9 
(y+2)216−(x−2)21=1 
(x−4)21−(y+1)24=1 
y216−(x+1)24=1

(x−2)216−(y+4)21=1 
(x+2)29−(y+2)216=1 
(x+4)29−(y−2)24=1
.
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