what does the transformation ( f(x)mapsto\frac{1}{9}f(x) ) do to the graph of ( f(x) )?<br>stretches it…
what does the transformation ( f(x)mapsto\frac{1}{9}f(x) ) do to the graph of ( f(x) )?<br>stretches it vertically<br>shrinks it horizontally<br>stretches it horizontally<br>shrinks it vertically
Answer
Explanation:
Step1: Recall vertical stretch/shrink rule
For a function (y = af(x)), if (|a|> 1), it is a vertical stretch; if (0<|a|<1), it is a vertical shrink.
Step2: Analyze the given transformation
In the transformation (f(x)\mapsto\frac{1}{9}f(x)), (a = \frac{1}{9}). Since (0<\frac{1}{9}<1), it is a vertical shrink.
Answer:
shrinks it vertically