parametric equations formative (precalc. RV.MP.3.a)

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  1. #1) GRAPH THE CARTESIAN EQUATION: r^2 = x^2 + y^2 ... use the slider to experiment with the value of r. (.ggb)
     
  2. #3) Using the GeoGebra 2D "curve command" input format "Curve( , , , , )", graph the parametric set: Curve(2 cos(t), 2 sin (.ggb)
     
  3. #4) Using the GeoGebra 3D "curve command" input format "Curve(, , , , , )", graph the parametric set: Curve(cos (.ggb)
     
  4. #6) Using the GeoGebra 3D "curve command" input format "Curve(, , , , , )", graph the parametric set: Curve(cos (.ggb)
     
  5. #8) Using the same input formula as above, graph the parametric set: x(t) = (2 cos t + cos(2t)) and y(t) = (2 sin t - sin(2t)). (The shape is called a "tricuspoid.") (.ggb)
     
  6. #9) Graph the same tricuspoid using Cartesian input: (x^2 + y^2 + 12x + 9^2)^2 = 4(2x + 3)^3. (.ggb)