Question

What happens to the graph of y=f(x) when x is replaced with x/3, -x, 3x

Answer 1

\[y=f(-x)\] looks like \(y=f(x)\) reflected across the \(y\) axis

Answer 2

thank you

Answer 3

\(y=f(\frac{x}{3})\) looks like \(y=f(x)\) only stretched out by a factor of 3
as x goes from say 0 to 9, x/3 goes only from 0 to 3

Answer 4

reverse for \(y=f(3x)\) try graphing \(y=x^3-x\) and \(y=(3x)^3-3x\) and compare
http://www.wolframalpha.com/input/?i=%28x%2F3%29^3%2Bx%2F3%2C+x^3-x%2C+%283x%29^3-3x+domain+-2..2

Answer 5

alright awesome, thank you!!