Identify the composition of transformations that created trapezoid PBTR, given the trapezoid J" E" L"Y", to show that the figures are similar. Y B O rv = x) ° ry-axis) O ry= x) o M(x-axis) O rv= -x) ° r-axis) O ry=-x) ° r(x-axis)

Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle rolls along the x -axis given that P is at a maximum when x=0.

Suppose the x- and y-axes are routed through an acute angle to produce the new X- and Y-axes. A point P P in the plane can be described by its xy-coordinates (x,y) or its XY coordinates. These coordinates are related by the following formulas. x= X= y= Y=