We have the following function:
f (x) = x ^ 2 - 9
Applying the transformations we have:
Vertical translations
Suppose that k> 0
To graph y = f (x) + k, move the graph of k units up.
h (x) = x ^ 2 - 9 + 2
h (x) = x ^ 2 - 7
Horizontal translations
Suppose that h> 0
To graph y = f (x + h), move the graph of h units to the left.
g (x) = (x + 3) ^ 2 - 7
Answer:
D) g (x) = (x + 3) ^ 2 - 7