College Algebra & Trigonometry, 2018a

9.3. THE VERTICAL SHIFT OF A TRIGONOMETRIC FUNCTION 415
Exercises 9.3
Determine the Amplitude, Period and Vertical Shift for each function below and
graph one period of the function. Identify the important points on the x and y
axes.
1. y =sinx +1 2. y =cosx − 1
3. y =2cosx − 1 2
4. y =5sinx +4
5. y = − sin( 1 x)+1 6. y = − cos(2x)+7
4
7. y = 1 3 sin(πx) − 4 8. y = − 1 2 cos(2πx)+2
9. y = 5 cos( 1 2 x)+1 10. y = 4 sin( 1 3 x) − 1
11. y =3cosx +2 12. y =2sinx +3
13. y =2− 4cos(3x) 14. y =5− 3 sin(2x)
Determine an equation that satifies the given graph.
4
2
6
4
2
15.
−2
−4
0
π
5
2π
5
3π
5
4π
5
16.
0
π
4
−2
−4
−6
π
2
3π
4
π