Just answer question, no need to explain.

For this case we have the following function:
 f (x) = x ^ 2
 We have the following information:
 Horizontal translations
 Suppose that h> 0
 To graph y = f (x-h), move the graph of h units to the right
 f (x) = (x-3) ^ 2
 Vertical translations
 Suppose that k> 0
 To graph y = f (x) + k, move the graph of k units up.
 f (x) = (x-3) ^ 2 + 4
 
 f (x) = (x-3) ^ 2 + 4
 option C