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P2 Topic 2: Functions
y=ax3+bx2+cx+d backmore
Investigate the effect of changing a, b, c or d.

Summary

  • When a=0 the curve is quadratic
  • When a=0 and b=0 the curve is linear
  • When a>0 the cubic curve ranges from bottom left to top right
  • When a<0 the cubic curve ranges from top left to bottom right
  • The value of d determines the y-intercept
  • When a is non-zero, the curve may cross the x-axis at 1, 2 or 3 places
graphic calculatorA 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 = AX^3+BXsquare+CX+D
Then select the GRAPH screen. You can then choose different values for the constants A, B, C and D. For example, to make A = 1, press 1 store ALPHA A.
JavaMath interactive graphs Based on free Java applets from JavaMath