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P2 Topic 2: Functions
Transformations of the sine graph 1 backmore
y = asin(bx+c)+d
Use the interactive display. Change the variables.

Summary
Make sure you are clear avout the different effects that changing a, b, c or d can have on the shape and position of the curve.
  • a affects amplitude
  • b affects frequency
  • c changes the horizontal position
  • d changes the vertical position
graphic calculatorA note about graphic calculators
A graphic calculator may be allowed in your exam. The TI-83, or similar model, can display trig graphs for you.

Select the Y= screen:
Enter Y1 = y = Asin(BX+C)+D
Then select the GRAPH screen. You can then choose different values for the constants A, B, C and D. For example, to make B = 1, press 1 store ALPHA B.
JavaMath interactive graphs Based on free Java applets from JavaMath