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Points, Vectors, and Functions

Points, Vectors, and Functions

Points on Graphs of Parametric Equations Exercises

Example 1

  • Determine whether each point is on the graph of the parametric equations

x(t) = t3
y(t) = t4

  • (8, 16)
  • (8, -16)
  • (-27, 81)

Example 2

  1. Show that the point (5, -6) is on the graph of the parametric equations

x(t) = t2 + 1
y(t) = 3t

Example 3

  • Show that the point (11, 9) is not on the graph of the parametric equations

x(t)= t2 + 1
y(t) = 3t