Transformations of graphs
Translating lines

The dynamic figure presents the graph of a linear function with a slope of 3, passing through the origin. Point A and six fixed points are marked on the graph (the name and x/y coordinates of each point are shown on mouse-over).

Translate the linear function in such a way that after the translation point A coincides with point B=(0,6). What is the correspondence rule for the translated function?
  • Translate the original function so that each time point A coincides with one of the given points. Click the cancel translations button to return to the original function f. Record the correspondence rules you obtain in each case.
  • Write a correspondence rule for a linear function with a slope of 3, which passes through point (5,8).
  • Write a correspondence rule for a linear function with a slope of 3, which passes through point (-5,-8).
  • Write a correspondence rule for a linear function with a slope of 3, which passes through point (m,n).
  • Write a correspondence rule for a linear function with a slope of a, which passes through point (5,8).


  • table step
    grid
    graph width
    f1
    f2
    f3
    translations
    translation size
    trace






    Translations and reflections
    Translations of lines through the origin

    Translating lines
    Different ways to translate
    Competing phone companies
    Tag
    Stories about rides
    Bike ride
    Plans for a trip
    Motorcycle and busses

    Exercise 1
    Exercise 2
    Exercise 3
    Exercise 4
    Exercise 5
    Exercise 6
    Exercise 7
    Exercise 8
    Exercise 9