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GeoGebraGeoGebra Classroom

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)?

Question 4.2

How do we obtain the graph of y = sin(½x) from the graph of y = sin(x)?

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 _____.

Select all that apply
  • A
  • B
Check my answer (3)

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.