Definition: A parametric equation is used when a function in x and y is defined through a third variable, usually t, called the parameter:
x = f(t)
y = g(t)
Functions can be defined using parametric equations or rectangular coordinates (x, y). They can be converted between one another through substitution to eliminate the parameter.
Example: Eliminate the parameter t.
x = t/2, y = t² + 2
Step 1: To eliminate the parameter, we must first isolate t from one of the equations.
x = t/2
2x = t
Step 2: Substitute t = 2x into the second equation.
y = t² + 2
y = (2x)² + 2
y = 4x² + 2
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