Answer:
See attached pictures.
Step-by-step explanation:
The sine and cosine functions have the forms: [tex]f(x) = C+ A sinBx[/tex] and [tex]f(x) = C + A cosBx[/tex]. A is the amplitude for each function. The period is found by dividing 2π the absolute value of B or [tex]\frac{2\pi}{|B|}[/tex]. C shifts the function up and down.
The sine function always starts and ends on the x-axis.
The cosine function always starts and ends at the y=A.
6.) The sine function starts at (0,0) then peaks at 5. Comes down to 0 and down to -5 before returning to 0.
The amplitude is 5.
The period is [tex]\frac{2\pi}{|2|}=\pi[/tex]
7.) Here A=3 so the amplitude is 3, B is 1/2 so the period is 4π. Start at (3,0) and descend down to (2π, 0). Go back up to (4π, 3).
8.) Here A = 2 so the amplitude is A. B is 2π so the period is 1. C is 1 so the graph is shifted up a unit.
Start the graph at (0,1) and go up to (0.25,3) and down to (0.5,1) and continue downward to (0.75, -3) then back up to (1,1).
