Lesson: Function Transformations: Dilation Mathematics

Students will be able to

• understand horizontal dilations of the function :
  • corresponds to a horizontal dilation of scale factor ,
  • when , the result is considered a stretch,
  • when , the result is considered a compression,
• understand vertical dilations of the function :
  • corresponds to a vertical dilation of scale factor ,
  • when , the result is considered a stretch,
  • when , the result is considered a compression,
• identify the resulting graph of a given graph when dilated horizontally or vertically,
• sketch the graph of a given basic function when dilated horizontally or vertically,
• understand how to combine a horizontal and a vertical dilation algebraically,
• identify the rule of a function for which a horizontal or a vertical dilation is represented graphically,
• understand that certain horizontal dilations may be equivalent to vertical dilations depending on the symmetry of the given function.