vertical stretch
[vertical stretch|vertical stretch] A vertical stretch involves a shift in the graph's direction.
Definition
vertical stretch A vertical stretch involves a shift in the graph's direction. When trying to determine a vertical stretch, it is helpful to look for a point on the graph that is relatively clear.
Mechanism
vertical stretch To identify a vertical stretch, compare |a| > 1 to the parent function f(x) = log_b(x). A factor of a units stretches the graph vertically when a > 1, creating a stretched version of the original function.
Comparison
vertical stretch A vertical stretch occurs when the constant is greater than 1, contrasting with vertical compression which happens when the constant is between 0 and 1. [link] shows a function multiplied by constant factors 2 and 0.5, resulting in vertical stretch and compression respectively.