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

(a) We can see the graph below. (b) $x = y^4$

$x = t^2$ $y = \sqrt{t}$ (a) t = 0: $x = (0)^2 = 0$ $y = \sqrt{0} = 0$ t = 1: $x = (1)^2 = 1$ $y = \sqrt{1} = 1$ t = 2 $x = (2)^2 = 4$ $y = \sqrt{2}$ t = 3 $x = (3)^2 = 9$ $y = \sqrt{3}$ t = 4: $x = (4)^2 = 16$ $y = \sqrt{4} = 2$ We can see the graph below. (b) $y = \sqrt{t}$ $t = y^2$ $x = t^2$ $x = (y^2)^2$ $x = y^4$