What is the equation of the translated function?

For this case the main function is:
 f (x) = x ^ 2
 We are going to apply the following transformations:

 Vertical translations
 Suppose that k> 0:
 To graph y = f (x) + k, move the graph of k units up.
 We have then:
 f (x) = x ^ 2 + 5

 Horizontal translations
 Suppose that h> 0
 To graph y = f (x + h), move the graph of h units to the left.
 We have then:
 f (x) = (x + 1) ^ 2 + 5

 
 f (x) = (x + 1) ^ 2 + 5