Precal S2 Day 36 Plane Curves & Parametric Models.notebook
1
March 01, 2018
Memory Quiz #8
Get out one clean sheet of paper and a pencil, and be ready to start
Memory Quiz #8 at the bell.
You will need a calculator today, so if you do not have one, please
check one out while I am checking homework.
Precal S2 Day 36 Plane Curves & Parametric Models.notebook
2
March 01, 2018
Parametric Functions & Plane Curves
Last time, we defined parametric equations as a pair of functions for
x
and
y
given in terms of the parameter
t
.
To change an equation from parametric form to rectangular form:
•
Solve the simpler equation for
t
(if you can't tell which is simpler, just
use the
x
equation)
•
Substitute the result for the
t
in the other equation
•
Simplify (and isolate
y
if possible)
There are usually multiple ways to write a pair of parametric equations for
a given rectangular equation. The simplest way to write a pair of
parametric equations for a function of
y
in terms of
x
is to make one
equation
x
=
t
, and then substitute
t
for
x
