Question

Pretend you had to give quick directions to your friend right before the quiz about how to stretch functions vertically, shift them horizontally, and shift them vertically. How would you do that as simply as possible?​

Answer 1

Suppose we have a function f(x)To stretch a function vertically, you multiply the function f(x) by a constant that is greater than 1,that is

$cf(x)$ where c is greater than 1

, we shift a function vertically by adding a constant to the function f(x), that is,

$f(x) + c$ or $f(x) - c$

and we shift a function horizontally by adding a constant to the independent variable x that is,

$f(x+c)$ or $f(x-c)$