The parent funcion is:
[tex]y = \sqrt{x} [/tex]
For this case we have two possible cases:
Case 1:
If the new function is:
[tex]y = \sqrt{x-15} [/tex]
We have the following transformation:
Horizontal translations:
Suppose that h> 0
To graph y = f (x-h), move the graph of h units to the right.
Answer:
shift right 15 units
Case 2:
If the function is:
[tex]y = \sqrt{x}-15 [/tex]
We have the following transformation:
Vertical translations:
Suppose that k> 0
To graph y = f (x) -k, move the graph of k units down.
Answer:
shift down 15 units
