PLEASE HELP
8.06
1. Draw a graph of the rose curve.
r = 2 sin 3θ, 0 ≤ θ ≤ 2π
A) a graph of three loops originating at the origin where one loop lies on and is symmetric about the y axis and the other two loops lie in quadrants one and two
[-2, 2] by [-2, 2]
B) a graph of four loops originating at the origin where each loop is entirely contained within each quadrant
[-2, 2] by [-2, 2]
C) a graph of four loops originating at the origin where each loop is entirely contained within each quadrant
[-2, 2] by [-2, 2]
D) a graph of three loops originating at the origin where one loop lies on and is symmetric about the axis and the other two loops lie in quadrants two and three
[-2, 2] by [-2, 2]
2. The graph of a limacon curve is given. Without using your graphing calculator, determine which equation is correct for the graph.
a circular graph with an indentation on the top to the origin
[-5, 5] by [-5, 5] (2 points)
A) r = 2 - 2 sin θ
B) r = 3 - 2 sin θ
C) r = 2 + 2 sin θ
D) r = 1 - 3 sin θ
3. Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.
r = 4 - 3 sin θ
A) Origin only
B) x-axis only
C) y-axis only
D) No symmetry
4. Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.
r = 9 sin 7θ
