AS/A2 Pure 1 Pure 3

P2 Topic 2: Functions
Transformations of the cubic graph 1
y=a((bx-c)3+d)
Investigate the effect of changing a, b, c or d.

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 A note about graphic calculators A graphic calculator may be allowed in your exam. The TI-83, or similar model, can display cubic graphs for you. Select the Y= screen: Enter Y1 = y = A((BX-C)3+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 ALPHA B. Based on free Java applets from JavaMath