By the end of the course, students will…
- determine, through investigation using technology, the roles of the parameters a, k, d, and c in functions of the form y = af(k(x – d )) + c, and describe these roles in terms of transformations on the graphs of f(x) = x³ and f(x) = x^4 (i.e., vertical and horizontal translations; reflections in the axes; vertical and horizontal stretches and compressions to and from the x- and y-axes)
By the end of the lesson, students will…
- Explain what each transformation parameter represents in y = af(k(x – d )) + c,
- Transform points using mapping notation (x/k + d, ay+c)
- Plot transformed graphs after using mapping notation on selected points
- I can use mapping notation to transform points on a parent cubic or quartic function and then graph the transformed function
To check your understanding, complete the questions in the following handout.