Question

The figure shows the graph of image, a translation of the parent function g(x) = . How is the graph of the parent function translated?

Answer 1

We are given the following function:

`h(x)=\sqrt[]{x-3}+2`

To do a translation in the direction of the y-axis we need to add the units we want to translate to the entire function, as follows:

`g(x)=h(x)+k`

Where "k" is a constant. If "k" is positive the graph is translated in upwards and is "k" is negative the function is translated downwards.

Therefore, since in the function we add +2, this means that the graph is translated 2 units up.

When we do a translation in the x-direction we use the following transformation: