Chapter 8 - Complex Numbers, Polar Equations, and Parametric Equations - Section 8.6 Parametric Equations, Graphs, and Applications - 8.6 Exercises - Page 398: 5

(a) We can see the graph below: (b) $y = x^2-4x+4$

$x = t+2$ $y = t^2$ (a) t = -1: $x = (-1)+2 = 1$ $y = (-1)^2 = 1$ t = -0.5: $x = (-0.5)+2 = 1.5$ $y = (-0.5)^2 = 0.25$ t = 0: $x = (0)+2 = 2$ $y = (0)^2 = 0$ t = 0.5: $x = (0.5)+2 = 2.5$ $y = (0.5)^2 = 0.25$ t = 1: $x = (1)+2 = 3$ $y = (1)^2 = 1$ We can see the graph below: (b) $x = t+2$ $t = x-2$ $y = t^2$ $y = (x-2)^2$ $y = x^2-4x+4$