GrAssign - Para/Rect Desmos Graph

(G) GrAssign - Parametric and Rectangular Graphs

    Problems

   1.  x(t) = t + 5       y(t) = t2      -2 ≤ t ≤ 1

   2.  x(t) = t2          y(t) = t + 1   -1 ≤ t ≤ 2

   3.  x(t) = t2 - 1     y(t) = 2t      -1 ≤ t ≤ 2

A.   Convert the parametric equations (1-3) to rectangular equations and simplify them. 

          ~   Record your work on the provided document:

          ~   You can use Notability to record your work on the above doc.

Before doing B and C, review the process explained in slide #5 "Parametric/Rectangular Graphs."  Instructions are included below Two_Graphs_Desmos

Using the 3 problems above, complete B and C.

B.   Record the following on the above document in Part A.

           ~  Write the parametric equations as ordered pairs. 

                     Write as (x,y), keeping x and y in parametric form. 

           ~  Include the rectangular equation you found in step A.

C.   Using Desmos 

           ~  Record the results of B (above) in Desmos, then graph each problem as a separate graph.

       ~  Make sure you highlight the parametric and rectangular graphs using different colors for each graph.

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Follow the directions for D and E.    (Use the 2 problems below.)

D.   Using graph paper (do NOT use Desmos), complete the problems below.

          Given the following parametric equations,

         I.     x(t) =  2 - t2      y(t) = t2 + 1        -2 ≤ t ≤ 2

        II.     x(t) =  t2 - 3      y(t)  =  2t - 3     -2 ≤ t ≤ 3

        ~  Complete the table on the document in Part D.

        ~  On graph paper, plot the table points, plot the points along with "t = value," sketch the parametric equation, and indicate the direction of the graph.     

E.    Convert the parametric equations for the above problem (D) to rectangular equations, then simplify.  

   ~  Include your name on all graphs and paper.

    ~ Save as GrPara_Rect_LastName.

   ~  Point value: 25 pts

   ~  Upload all work and graphs to Google Classroom. 

Include the following on the first page:

  "I pledge my honor that I will not violate Nazareth's Honor Code during this assignment."

After you submit this GrAssign, email me to access the test. kbiga@nazarethacademy.com