,

or

,

or

,

or

.

See the common feature?

Now, let's try to combine the variables:

a)

This is a vertical line x=2.

b)

This is a vertical ellipse centered at the origin with vertices at (0,3) and (0,-3), and endpoints of minor axis at (2,0) and (-2,0).

c)

This is a sine function with magnitude 2.

d)

This is an object in 3-dimension.

You see, parametric equations can form a lot of curve with different type:

a) function, non-function;

b) line, curve;

c) 2-D, 3-D;

etc.

Can you try to build one set of parametric equations and figure out the graph of the set of equations?

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