Students learn about translating functions and describing graphical transformations in the form f(x+a) for horizontal translations and f(x) + a for vertical translations. As learning progresses they are challenged to describe combinations of the two using the correct function notation.
Differentiated Learning Objectives
- All students should be able to recognise a horizontal and vertical translation from function notation.
- Most students should be able to perform and describe a vertical and horizontal translation using function notation.
- Some students should be able to derive the equation of a transformed function in terms of y.