# Module 10 lesson 6 Parametric Equations Notes - Module 10...

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Module 10 lesson 6 Parametric Equations. When modeling the path of an object, it is useful to use equations called Parametric equations. Instead of using one equation with two variables, we will use two equations and a third variable called a parameter. This third variable allows us to determine not only where the object has been, but it can tell us when the object was there. A parametric equation in a plane consists of two equations x = f(t) and y = g ( t ) Where x and y are ordered pairs and t is the parameter ( a constraint that you operate in , like time). Here is an example of a parametric equation: x = t and y = -2t when -2To sketch the graph we need to evaluate the parameter t within the given interval to create our x and y values. t x y -2 -2 4 -1 -1 2 0 0 0 1 1 -2 2 2 -4 The arrows indicate the movement of the particle at the given parameter. We can use our graphing calculator to graph parametric equations.
First, put your calculator into the parametric mode by hitting [MODE] and