Function Repository Resource:

CubicTransformationQuiz

Generate a quiz to assess understanding of geometrical transformations of cubics

Contributed by: Jordan Hasler, Wolfram|Alpha Math Team

ResourceFunction["CubicTransformationQuiz"][]

returns an interactive quiz on plotting a transformed cubic curve.

Details

ResourceFunction["CubicTransformationQuiz"] randomly picks a cubic curve and distances to translate the polynomial in the horizontal and vertical directions. The user is then asked to choose four points on the new, translated cubic.

The interface returned by ResourceFunction["CubicTransformationQuiz"] includes the following buttons:

Check answer

automatically grades input with feedback

Reset problem

resets the problem by clearing the accumulated data table and moving locators back to their starting positions

Next problem

randomly generates a new problem and internally saves the previous problem history

Print report

prints a description of the problems that have been attempted so far, all guesses made and whether the last guess on each problem was correct

Styling and interface controls may be found under the "Display options" opener.

Examples

Basic Examples (1)

Generate a quiz on plotting a transformation of a cubic function by moving points on a graph:

In[1]:=

Out[1]=

Scope (3)

When Check answer is clicked, attempts are marked as correct based on whether or not the chosen points lie along the line in question. Correct answers receive a green check mark:

In[2]:=