Homework Questions…
Pre-Calculus
Section 6.3 in your book…
Parametric Equations and Motion
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Parametric equations is the graph of the
ordered pairs (x, y), where:
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x = f (t)
y = g (t)
Basically, the x and y coordinates both have their
own functions to define each coordinate.
t is the parameter
Example 1 – calc in PAR mode
For the given parameter interval, graph the
parametric equations:
x = t2 – 2, y = 3t
 A. -3 ≤ t ≤ 1
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B. -2 ≤ t ≤ 3
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C. -3 ≤ t ≤ 3
Example 2 – Eliminating the parameter
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x = 1 – 2t and y = 2 – t
Example 3 – Eliminating the parameter
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x = t2 - 2 and y = 3t.
Example 4 – Eliminating the parameter
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Eliminate the parameter for:
x = 2cos(t) and y = 2sin(t).
Example 5: Finding parametric equations
(Going from the line to the parametrization)
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Find a parametrization of the line through the points
A = (-2, 3) and B = (3, 6)
Same thing – one more time 
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Find a parametrization of the line through the points
A = (4, 5) and B = (-1, 7)
Find the parametrization
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A circle with center at (1, 3) and radius 7.
Homework!
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p. 530 (1-4, 20-32 even)