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