College Algebra & Trigonometry, 2018a

412 CHAPTER 9. GRAPHING THE TRIGONOMETRIC FUNCTIONS
Sometimes the x-axis is drawn through the line that is the new “zero” or “midline”
for the function - in this case it would be y =5.
7
6
y =5+sinx
4
π
2
π
3π
2
2π
3
Likewise, a negative constant would move the graph down, as each y-value
would be less than the corresponding y-value in the standard sine function.
2
1
y =sinx
−1
0
π
2
π
3π
2
2π
−2
−3
y = −2+sinx
In the previous examples the constant has been written in front of the sine function
for clarity. Often the constant is written after the function:
y =sinx +5
or
y =sinx − 2