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