Parametric equations
transformations : let x = (2 cos t) + h and y = (2 sin t) + k
(a) writing to learn : let k=0 and h= -2,-1,1, and 2, in turn. graph
using the parameter interval [0,2(pi)]. describe the role
ofh.
(b) writing to learn : let h=0 and k= -2,-1,1, and 2, in turn. graph
using the parameter interval [0,2(pi)]. describe the role
ofk.
(c) find a parametrization for the circle with radius 5 and
centerat (2,-3)
(d) find a parametrization for the ellipse centered at (-3,4)
withsemimajor axis of length 5 parallel to the x-axis and
semiminoraxis of length 2 parallel to the y-axis.