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