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Listed under:  Cubic equations

### EagleCat: cubic-G

Explore the graphs of cubic equations in two forms: (a) the general form, y = a(x – h)³ + k, and (b) the intercept form, y = (x – a)(x – b)(x – c). Observe changes to the point of inflexion and the shape of cubic graphs through various transformations. Alternately, change the equation and observe changes in the x-intercepts ...

### Differential calculus: cubic function

Observe the non-linear distance–time graph of a rocket travelling at a changing velocity. The distance, s, travelled by the rocket after t seconds is determined by the formula s(t) = t³ – 2. Calculate the average velocity of the rocket over time intervals that become progressively shorter. Tabulate the results and look ...

### Differential calculus: cubic and quartic functions

Observe the non-linear time graph of a rocket travelling at a changing velocity. The distance, s, travelled by the rocket after t seconds is determined by the formulas: s(t) = t³ – 2 and s(t) = t⁴ + t². Calculate the average velocity of the rocket over time intervals that become progressively shorter. Tabulate the results ...