Question

Sketch a graph of the following functions; assume that x is in degrees and be sure to label your axes. Additionally, give their midline and amplitude. (A.) f(x) = 3 cos(x) — 3 (B.) g(x) = sin(x) + 2 (c.) h(x) = 5 cos(x) – 7 (n.) p(x) = sin(x) + 3

Answer 1

Solution fex= 3 cel(n)-3. Step Draw. y = cesn 0 Streten vestically umise ly=zon 11 shift downward by 3 units y = 3 x-3 I fx= 3 cesn-3 का -67

③ gex r t ahnt Step Draw. ya sinn ③ compress vertically by 1 unig shift upward by 2 thin y oth y t sining + sin(x) +2 > lexis Sim24+2 5 Ces (2) 7 © Thero= 560w-4 Draw-D y = cesn. © Sthefeed vertically By Surints. ya 5689. - Shift downward by Zuniss y = 5669-7 I a 20 30

® PX e sin(n) + Ź step o Doww. ya sinn Compress restically by 32 units. y = 3 sinn ③ Shift repward by Į y = f sin(x) + 2 = 3 sinult I 27 -02