# Given #f(x) = root3x#, what is the translation of #g(x) = 5root3(x+2) - 2#?

##### 1 Answer

Apr 1, 2018

#### Explanation:

First we know that the translation form of any funciton looks like

With

A~ Vertical stretch, streches the y values by A

B~ Horizontal stretch, streches the x values by

C~ Horizontal translation, moves x values over by C

D~ Vertical translation, moves y values up by C

So 5 is the vertical stretch

So -2 is the horizontal translation

So -2 is the vertical translation

So you know the function has been moved 2 to the left and 2 down.