Chapter 8 - Complex Numbers, Polar Equations, and Parametric Equations - Section 8.6 Parametric Equations, Graphs, and Applications - 8.6 Exercises - Page 398: 7

(a) We can see the graph below. (b) $y = 3x^2-4$

$x = \sqrt{t}$ $y = 3t-4$ (a) t = 0: $x = \sqrt{0} = 0$ $y = 3(0)-4 = -4$ t = 1: $x = \sqrt{1} = 1$ $y = 3(1)-4 = -1$ t = 2 $x = \sqrt{2}$ $y = 3(2)-4 = 2$ t = 3 $x = \sqrt{3}$ $y = 3(3)-4 = 5$ t = 4: $x = \sqrt{4} = 2$ $y = 3(12)-4 = 8$ We can see the graph below. (b) $x = \sqrt{t}$ $t = x^2$ $y = 3t-4$ $y = 3x^2-4$