03 Vertical Scaling
Instructions
Move the slider for a in the applet and answer the following questions based on your observations.
y = a sin(x)
Question 3.1
How do we obtain the graph of y = 2sin(x) from the graph of y = sin(x)?
The graph of y =2sin(x) is a scaling of the graph of y = sin(x) parallel to the y-axis by a factor of 2.
Question 3.2
How do we obtain the graph of y = ½sin(x) from the graph of y = sin(x)?
The graph of y =½sin(x) is a scaling of the graph of y = sin(x) parallel to the y-axis by a factor of ½.
Question 3.3
The equation y = a ⋅ sin(x) can be seen as replacing the variable y in the equation y = sin(x) by the variable _____.
y/a
ay
Question 3.4
If f(x) is either sin(x) or cos(x), then changing the value of a in the equation y = a ⋅ f(x) changes the _____________ of the curve.
amplitude
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Information: 03 Vertical Scaling