04 Horizontal Scaling
Instructions
Move the slider for a in the applet and answer the following questions based on your observations.
y = sin(ax), 0 ≤ x ≤ 2π
Question 4.1
How do we obtain the graph of y = sin(2x) from the graph of y = sin(x)?
The graph of y =sin(2x) is a scaling of the graph of y = sin(x) parallel to the x-axis by a factor of ½.
Question 4.2
How do we obtain the graph of y = sin(½x) from the graph of y = sin(x)?
The graph of y =sin(½x) is a scaling of the graph of y = sin(x) parallel to the x-axis by a factor of 2.
Question 3.3
The equation y = sin(ax) can be seen as replacing the variable x in the equation y = sin(x) by the variable _____.
ax
x/a
Question 3.4
If f(x) is a trigonometric function, then changing the value of a in the equation y = f(ax) changes the _____________ of the curve.
period
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Information: 04 Horizontal Scaling