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Complete the chart.
|________________||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|
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 on the hyperbola, for some constant .
What is the general form for a hyperbola that opens upwards and downwards and whose foci lie on the axis? ___________________________
What is the shifted equation for a hyperbola that is centered around the point opening up and down? ___________________________
Left and right? ___________________________
Sketch the Hyperbolas:
Identify the equation of the hyperbola using the image:
For a hyperbola of the form , which lines are the asymtotes?
What about the form ?
Find the equations of the asymptotes:
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