4.3. Conic Sections: Hyperbolas

First, complete the lecture notes on Hyperbolas (pg 22-24)

5. Parametric Equations

Consider plotting a function, y=x^2. To do so, we take various x-values, and calculate their corresponding y-value. We can generate a table then use this table to plot the curve. 

However, sometimes we have two functions for x & y in terms of a third variable t (called a parameter). For example, x = t^2 and y = t - 1. In this case, we instead take various t-values and calculate both the corresponding x- and y-values. We then generate the table again and use the x- and y-values to plot the graph (omitting the original t variable). 

The Google Sheet below gives an idea of the process for this. 

Applications of Parametric Equations

This section is an exploration of Parametric Equations using Geogebra. You may use the bottom of Pg27 of your notes.

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