Translate the graph of the parent function towards the right by 6 units. So, the graph obtained is the graph of [tex]y = \sqrt{x-6}[/tex] and this can be determined by using the rules of transformation.
Given :
- Parent Function -- [tex]y = \sqrt{x}[/tex]
- Transformed Function -- [tex]y = 3\sqrt{x-6}[/tex]
The following steps can be used in order to translate the graph by 6 units:
Step 1 - Write the parent function.
[tex]y = \sqrt{x}[/tex]
Step 2 - Draw the graph of the parent function [tex]y = \sqrt{x}[/tex].
Step 3 - Now, translate the graph of the parent function towards the right by 6 units. So, the graph obtained is the graph of [tex]y = \sqrt{x-6}[/tex].
Step 4 - Now, stretch the graph of the function obtained in the above step by 3 units. So, the graph obtained is the graph of [tex]y = 3\sqrt{x-6}[/tex].
For more information, refer to the link given below:
https://brainly.com/question/14375099
