We know that tehre are some ways of transform the graph of a function:
we can mutiply (or divide) it by a number or add (substract) a number to it - among other operations.
When we divide or multiply the equation of a function we are going to be stretching it:
- if we multiply a number we stretch it vertically
- if we divide a number we stretch it horizontally
In this case
[tex]f(x)=2g(x)[/tex]It is a multiplication of g(x), then it is a vertical stretch of g(x).
If we want to translate a function vertically we just must add or substract a number to the whole equation. For example:
If we want to translate it horizontally, then we have to add or substract a number to the x part of the equation:
