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parametric equation
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Mon Apr 30 2001 at 3:24:08
A parametric equation is a type of
equation
used in
graphing
. Just as there are
function
equations and
polar equations
, there are parametric equations. The special thing about parametric equations is that they show the graph of a function over time. This has many practical applications, such as seeing the relative positions of different objects at a certain point in time. Instead of the x variable of functions or the theta variable of polar equations, the variable in parametric equations is
t
, and it represents time.
There are two parts to a parametric equation: the x equation and the y equation. The x equation determines what the x
coordinate
of the point graphed for each time
t
, and the y equation does likewise for the y coordinate. As a rule of thumb, the first x equation is named x
1
and the corresponding y equation is named y
1
. When you put both of these together for each value of
t
that you are graphing, you come up with the graph of the equation. It is a bit difficult to visualize the result of these equations unless you have had a bit of experience with graphing, but if you mess around with the parametric graphing feature of a
graphing calculator
for a while, it becomes easier to figure out what the equations mean.
printable version
chaos
parametric
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