Respuesta :

The answer is c.

The -3 means it’s shifted to the right 3 units
The 4 means it shifted up 4 units

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
 Answer:
 
f (x) = (x-3) ^ 2 + 4
 
option C