Respuesta :

We are given the following function:

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

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:

[tex]g(x)=h(x)+k[/tex]

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:

[tex]undefined[/tex]