For this case, the parent function is given by:
[tex] f (x) = x ^ 2
[/tex]
We apply the following transformations:
Horizontal translations:
Suppose that h> 0
To graph y = f (x + h), move the graph of h units to the left.
We have then for h = 5:
[tex] y = (x + 5) ^ 2
[/tex]
Vertical translations
:
Suppose that k> 0
To graph y = f (x) -k, move the graph of k units down.
We then have for k = 9:
[tex] g (x) = (x + 5) ^ 2 - 9
[/tex]
Answer:
The graph of g (x) is the graph of f (x) 5 units to the left and 9 units to down
