Definition of a plane curve
If f and g are continuous functions of t on an interval l, the set of ordered pairs (f(t),g(t)) is a plane curve C. The equations:
x=f(t) and y=g(t)
are parametric equations for C, and t is the parameter.
Eliminating the Parameter
1. Parametric equations
2. solve for t in one equation
3. substitute into second equation
4.rectangular equation (only 2 variable)
Example:
1.
x=t+3, y= -t^2
step 1: subtract both side of x=t+3 by three:
x-3=t
then, take x-3 into another equation
get y= - (x-3)^2
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