Hyperbola (Graph & Equation Anatomy)
Move the various sliders in this applet around to investigate what happens to the graph of a hyperbola as you change various parameters within the standard form of its equation. Checkboxes are provided for you to select whether you want the hyperbola to have a horizontal transverse axis vs. a vertical transverse axis. [br][br]Key questions:[br][br]Is it possible to tell the location of a hyperbola's center just by looking at its equation? If so, how?[br]How can the length of an hyperbola's transverse axis & conjugate axis be determined just by looking at its equation?[br]What are the key differences in the standard form of the equation of a hyperbola with a horizontal transverse axis vs. a vertical transverse axis?
Questions appear above applet.
Unwrapping the Unit Circle
Play through the construction of "unwrapping" the unit circle. How could this construction be used to graph the other four other functions namely tangent, cotangent, secant and cosecant functions? |
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