Chapter 0 - Before Calculus - 0.3 Families Of Function - Exercises Set 0.3 - Page 37: 31

(a) $y = 3 sin(\frac{x}{2})$ (b) $y = 4 cos (2x)$ (c) $y = −5 sin (4x)$ Refer to the graph for more information

(a) Where $A = 3$, $B = \frac{1}{2}$, $D = 0$ Hence the equation is $y = 3 sin(\frac{x}{2})$ (b) Where $A = 4$, $B = 2$, $D = 0$ Hence the equation is $y = 4 cos (2x)$ Refer to the graph for more information (c) Where $A = -5$, $B = 4$, $D = 0$ Hence the equation is $y = −5 sin (4x)$