For this case we have that the parent function is given by:
[tex] f (x) = x ^ 2
[/tex]
We apply the following function transformations:
Horizontal translations:
Suppose that h> 0
To graph y = f (x + h), move the graph of h units to the left:
For h = 5 we have:
[tex] f (x + 5) = (x + 5) ^ 2
[/tex]
Vertical translations:
Suppose that k> 0
To graph y = f (x) + k, move the graph of k units up.
For k = 3 we have:
[tex] g (x) = (x + 5) ^ 2 + 3
[/tex]
Answer:
The value represents the vertical translation from the graph of the parent function is:
3
