The translated function is:
g(x) = √(x - 3) - 9
How to find the translation?
The transformations used here are:
Horizontal translation:
For a general function f(x), a horizontal translation of N units is written as:
g(x) = f(x + N).
- If N is positive, the shift is to the left.
- If N is negative, the shift is to the right.
Vertical translation:
For a general function f(x), a vertical translation of N units is written as:
g(x) = f(x) + N.
- If N is positive, the shift is upwards.
- If N is negative, the shift is downwards.
So, if we have a translation of 3 units right and 9 units down, this would be written as:
g(x) = f(x - 3) - 9
Replacing f(x) by the actual function we get:
g(x) = √(x - 3) - 9
If you want to learn more about translations, you can read:
https://brainly.com/question/24850937