Section 10.5

Parametric Equations

• To use your calculator to graph a parametric equation:

• Go to mode and put your calculator in parametric mode

• Push y = and type in X1T and Y1T

• Set your window to the given interval. The given interval will be the T-min and T-max

Parametric Equations

• Eliminating the parameter:• Given the parametric equations write the

equation in rectangular form

(as y = mx + b)

Take your x equals equation and solve for t

T will now be in terms of x

Substitute in what t equals for all the t’s in the y equals equation

Simplify

Parametric Equations

• Finding the parametric equations for a graph

• Given an equation in rectangular form

y = mx + b and a parameter

Take the parameter and solve for x

X will now be in terms of t.

Parametric Equations

• Substitute in what x equals for all the x’s in the equation

• Simplify

• Your final answer should be two equations

x equals and y equals and both equations should have a t in them