IB DP Maths: AI HL复习笔记2.5.2 Reflections of Graphs

What are reflections 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 reflection:
  • the graph is flipped about one of the coordinate axes
    • Its orientation changes
  • the size of the graph remains unchanged
• A particular reflection is specified by an axis of symmetry:

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

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