Download - Day 6 parametric worked
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Homework Questions…
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Pre-CalculusSection 6.3 in your book…
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Parametric Equations and Motion Parametric equations is the graph of the
ordered pairs (x, y), where: 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
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Example 1 – calc in PAR modeFor the given parameter interval, graph the
parametric equations:x = t2 – 2, y = 3t
A. -3 ≤ t ≤ 1
B. -2 ≤ t ≤ 3
C. -3 ≤ t ≤ 3
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Example 2 – Eliminating the parameter x = 1 – 2t and y = 2 – t
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Example 3 – Eliminating the parameter x = t2 - 2 and y = 3t.
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Example 4 – Eliminating the parameter Eliminate the parameter for:
x = 2cos(t) and y = 2sin(t).
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Example 5: Finding parametric equations(Going from the line to the parametrization)
Find a parametrization of the line through the points A = (-2, 3) and B = (3, 6)
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Same thing – one more time Find a parametrization of the line through the points
A = (4, 5) and B = (-1, 7)
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Find the parametrization A circle with center at (1, 3) and radius 7.
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Homework! p. 530 (1-4, 20-32 even)
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