A curve is described by the following parametric equations: x=2 y=32+1 Which statement best describes the curve? 0 O A. The curve is a parabola with a vertex at (2,1) and is traced from left to right for increasing values of t. B. The curve is a parabola with a vertex at (2,1) and is traced from right to left for increasing values of f. C. The curve is a parabola with a vertex at (2,1) and is traced from left to right for increasing values of t. D. The curve is a parabola with a vertex at (2,1) and is traced from right to left for increasing values of t. Which points are on the plane curve described by the following set of parametric equations? Select all that apply. x=2t+5and y:32 : A. (1,?) : B. (2,9) : C. (13) : D. (3. 3) : E. (7,3) 2:2 Consider the Cartesian equation of a hyperbola, y: 14 1+_ , versus the parametric equations of the same hyperbola: 9 x=3tant y=4sec 1'. What are the advantages of the parametric equations? Select all that apply. _ A. The parametric equations are easier to enter into a calculator for graphing. I B. The parametric equations show the direction in which the hyperbola is drawn. I C. The parametric equations describe a three-dimensional gure. I D. For a given value of the independent variable, the parametric equations yield exactly one point on the graph. I E. With parametric equations, each arm of the hyperbola is graphed in a continuous manner on a graphing calculator. Rewrite the parametric equations by eliminating the parameter: x = 2t + 3 and y =t-2. O A. y = 3x + 1 O B. X-7 2 O C. y= x+5 O D. x - 5 Y= 2\fExplain how you would graph the following set of parametric equations by plotting points and describing the orientation. X: 3! and y=32 For parametric equations x = a cos t and y = b sin t, describe how the values of a and b determine which conic section will be traced.The following two sets of parametric functions both represent the same ellipse. Explain the difference between the graphs. x = 3 cos t and y = 8 sin t x = 3 cos 4t and y = 8 sin 4tWhat is the shape of the graph of the following parametric equations? x = 2 cos t + 4 and y = 2sint -5 O A. circle O B. ellipse O C. hyperbola O D. parabolaWhich equation in rectangular term describes the parametric equations x= 2 Beast and y = 1 + 4 sin t? 0 A maa1)\" =1 9 16 O B. (x+2)2+[y+1)2_1 9 16 ' 0 0- can2 _ (H2)2 _1 4 3 0 0- 0'1): (xZl 4 3