HILLGROVE
Notes: Parametric Equations: Changing from Rectangular to Parametric PP&V Day 1& Graphing ParametricParametric Equations: Ct=(ft,gt) C is referred to as a parameterized or parametric curve.x=ft and y=g(t)180022513017500Example One: Graph the parametric curve. Then rewrite the parametric in rectangular form.Ct=(2t-4, 3+t2)-2286001397000Rewriting Equations from rectangular →parametric: Rectangular: Line through a point (a,b) with a slope=mParametric: Ct=(a+t, b+mt)Rectangular: Circle of radius=r centered at the originParametric: Cθ=(rcosθ, rsinθ)Rectangular: Circle of radius=r centered at (a,b)Parametric: Cθ=(a+rcosθ, b+rsinθ)Rectangular: An ellipse xa2+yb2=1Parametric: Cθ=(acosθ, bsinθ)Rectangular: Any other non-specialParametric: You solve for x Then (x= , t) OR You solve for y= Then (t, y= )Example Two: Rewrite in parametricA. y=8x2-3xB. 3x+2y2=5C . Line of slope of m=4 through the point (2,5)D. Circle of radius r=2 with center (-2,3) ................
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