new function from old function

 Transform Of The Function

if we have a function and we need to shift it to the right or to the left and up or down

For example: shift $$x^2$$ two units up and one unit to the right

 $$f(x)=x^2$$

$$f(x)=(x-1{)}^2+2$$

we can stretch and reflect it too

For example:

Another example:

reflect $$e^x$$ about y-axis and x-axis