College Algebra & Trigonometry, 2018a

9.5. COMBINING THE TRANSFORMATIONS 435
2
2
1
1
−2π −π π 2π
−1
−2π −π π 2π
−1
E.
−2
F.
−2
2
2
1
1
−2π −π π 2π
−1
−2π −π π 2π
−1
G.
−2
H.
−2
Determine the Amplitude, Period, Vertical Shift and Phase Shift for each function
and graph at least one complete period. Be sure to identify the critical values
along the x and y axes.
31. y = 2 cos(2x+ π 2
) − 1 32. y = −4cos(3x − 2π)
33. y = sin(2x− π 4
) 34. y = − sin(3x + π)
35. y = 3 cos(x+ π 3 )+1 36. y = −2 sin(3x−π 2 )+4
37. y =− 1 2 sin(x−π 2 ) − 2 38. y =2− cos(2x−π 3 )