Graph y = sin 3x + 2.
Hint
B = 3 and it affects the period; D = 2 and it affects the midline.
Answer
Graph .
A = 2 and it affects the amplitude; and it affects the horizontal shift.
What is the equation for the sine function graphed here?
How is this any different from y = sin x? It hasn't been shifted up, down, left, or right.
y = 3sin x
What is the equation for the cosine function graphed here?
Remember that cosine starts shifted to the left of the basic sine function.
y = cosx + 1
What are the period and midline of ?
The equation for the period is .
The period is and the midline is y = 0.
What are the period and midline of y = 3sin x – 2?
The midline is the height of the middle of the wave.
The period is 2π and the midline is y = -2.
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.
and it affects the horizontal shift.
to the left of the basic sine function.
?
.
and the midline is y = 0.