For the set of parametric equations x=Acos(t)+B, y=Csin(t)+D: a) Eliminate the parameter by isolating cos(t) and sin(t). Explain exactly how to graph this shape.  b) Find parent functions for x and y in terms of t, then explain which transformations occurred to get this set of parametric equations.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

For the set of parametric equations x=Acos(t)+B, y=Csin(t)+D:

a) Eliminate the parameter by isolating cos(t) and sin(t). Explain exactly how to graph this shape. 

b) Find parent functions for x and y in terms of t, then explain which transformations occurred to get this set of parametric equations.

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