Graphs of functions can be stretched in both the horizontal and vertical directions by the inclusion of a coefficient in front of x or y (also referred to as "replacing x or y").

Note that a stretch can either expand or compress the graph.  The term "stretch" simply indicates that the shape of the graph is changing.  If the graph is stretched by a factor larger than 1, it is called an "expansion by a  factor of a". If the graph is stretched by a factor that is smaller than 1, then it is referred to as a compression.

Resources:

• Notes: Stretching the Graphs of Functions

Assignment:

• p15 C1, C2, C3, C4, p28 #1, 3, 4
• p28 #5, 6, 7, 9, 10 13-15, C1 C2 C4 C5