Standard Form of Cubic

Author:
A B Cron
A Standard Form of a quadratic equation is: a x³ + b x² + c x + d If a ≠ 0, this equation is a cubic which has several points: Inflection (Turning) Point 1, 2, or 3 x-intecepts 1 y-intercept Maximum/Minimum points may occur
There is a sample charge at on the worksheet. Create a similar chart on your paper; for the sketch column, allow more room. Move the sliders a, b, and c to create a record of your work. Examine the table to see if you can determine a pattern for the variables a, b, c, and d from the chart. I suggest testing initially with only one slider at a time. Do a second chart varying only two sliders; then vary all three.