9. Using Parametric Equations Consider the parametric equations .2; = J? and y = 2 r. (a) Create a table of .x- and _v-values using I = 0, l, 2, 3, and 4. (b) Plot the points (x, 3;) generated in part (a) and sketch a graph of the parametric equations for {l E t E 4. 12. Describe the orientation of the curve. (c) Use a graphing utility to graph the curve represented by the parametric equations. (d) Find the rectangular equation by eliminating the parameter. Sketch its graph. How does the graph differ from those in parts (b) and (c)? Sketching a Plane Curve and Eliminating the Parameter In Exercises 1328, (a) sketch the curve represented by the parametric equations (indicate the orientation of the curve). Use a graphing utility to conrm your result. (b) Eliminate the parameter and write the corresponding rectangular equation whose graph represents the curve. Adjust the domain of the resulting rectangular equation, ifnecessary. 13. x = L): = 4r l4. 15.x=3r3,y=2r+116. 17. x = r, y = r2 is. 19.x=r+2,y=r2 20. 21.x=2r,y=]r2] 22. 23. x = 2cos6,y = 3sin6' 24. 25. x = 6",}; = 63' 26. 27. x = {3, y = 3111! 23. r,y=%_r 32t,}==2+3r r,y=r3 Jay: 1 r |rli,_v=r+2 cos 6,y=4sin6 62',y=e' 1n2r,y=2r2