Alberta Program of Studies (2002)

Topic 1: Transformations of Functions

General Outcome: Perform, analyze and create transformations of functions and relations that are described by equations or graphs.

Substrand: Transformations

Specific Outcomes

1.1 Describe how various translations of functions affect graphs and their related equations:

• y = f(x - h)
• y - k = f(x)
  [C, T, V]
  

1.2 Describe how various stretches of functions (compressions and expansions) affect graphs and their related equations:

• y = af(x)
• y = f(kx).
  [C, T, V]
  

1.3 Describe how reflections of functions in both axes and in the line y = x affect graphs and their related equations:

• y = f(-x)
• y = -f(x)
• y = f ^-1(x).
  [C, T, V]

1.4 Using the graph and/or the equation of f(x), describe and sketch 1/f(x). [C, T, V]

1.5 Describe and perform single transformations and combinations of transformations on functions and relations. [C, T, V]

Deletions: Absolute value transformations of functions

• Communication [C]
• Connections [CN]
• Estimation and Mental Mathematics [E]
• Problem Solving [PS]
• Reasoning [R]
• Technology [T]
• Visualization [V]