day 6 parametric worked

Homework Questions…

Pre-CalculusSection 6.3 in your book…

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

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

Example 2 – Eliminating the parameter x = 1 – 2t and y = 2 – t

Example 3 – Eliminating the parameter x = t2 - 2 and y = 3t.

Example 4 – Eliminating the parameter Eliminate the parameter for:

x = 2cos(t) and y = 2sin(t).

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)

Same thing – one more time Find a parametrization of the line through the points

A = (4, 5) and B = (-1, 7)

Find the parametrization A circle with center at (1, 3) and radius 7.

Homework! p. 530 (1-4, 20-32 even)