What are stretches 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?stretch:
  • the graph is?stretched?about one of the coordinate axes by a scale factor
    • Its size?changes
  • the orientation of the graph remains?unchanged
• A particular stretch is specified by a?coordinate axis?and a?scale factor:
  • The?distance?between a?point?on the graph and the?specified coordinate axis?is?multiplied?by the?constant scale factor
  • The graph is stretched in the?direction?which is?parallel?to the?other coordinate axis
  • For scale factors?bigger than 1
    • the points on the graph get?further away?from the?specified coordinate axis
  • For scale factors?between 0 and 1
    • the points on the graph get?closer?to the?specified coordinate axis
    • This is also called a?compression

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

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

• Vertical?asymptotes?stay the same