Week 15: Parametric Equations

Parametric equations are equations that you make and understanding the direction of the shape being created.

Step 1: Sketch a graph or to be more exact make a table
Step 2: Eliminate the parameter by elimination/substitution and trig identities
Always solve for y

It is quite simple and usually you will get an equation like
x=t^2
y=t^3
above is the parametric equations
then you will receive a parameter ’t’
-1≤t≤2
then draw the table. it is presented below. You put in the given numbers into t and find x and y. Then you graph it and put arrows in the direction you travel and make a line.

after that you try to eliminate t by using substition and solve for y
if there is trig you use the trig identitites while without trig you just use eilmination and substitution.
Below is an example with trig. You do the same exact thing but you use trig and solve for y and you cannot have trig in the end.

That is how you use parametric equations

SEE YOU NEXT WEEK!!!