IB DP Maths: AI HL复习笔记2.5.1 Translations of Graphs

What are translations of graphs?

• When you alter a function in certain ways, the effects on the graph of the function can be described by geometrical transformations
• For a translation:
  • the graph is moved (up or down, left or right) in the xy plane
    • Its position changes
  • the shape, size, and orientation of the graph remain unchanged
    • x is the horizontal displacement
      • Positive moves right
      • Negative moves left
    • y is the vertical displacement
      • Positive moves up
      • Negative moves down

What effects do horizontal translations have on the graphs and functions?

What effects do vertical translations have on the graphs and functions?