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2 Answers

A vertical shift by 12 units is denoted as adding 12 to the end of the given function.  Therefore,
 
g(x) = f(x) + 12 = (x+ 1) + 12 = x2 + 13.

Comments

 
These are my option for answers I have. So is D the correct answer?
A.  g(x) = (x + 13)2

B.  g(x) = (x + 12)2 + 1

C.  g(x) = x2 - 11

D.  g(x) = x2 + 13
 
 
Yes, the answer would be D.