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
Answer:
f (x) = (x + 1) ^ 2 + 5