For this case we have the following parent function:
f (x) = x ^ 2
We apply the following function transformation:
Horizontal translations
Suppose that h> 0
To graph y = f (x + h), move the graph of h units to the left.
We have then:
y = (x + 3) ^ 2
Vertical translations
Suppose that k> 0
To graph y = f (x) + k, move the graph of k units up.
We have then:
y = (x + 3) ^ 2 + 4
Answer:
The graph g (x) is the graph f (x) 3 units to the left and 4 units up:
y = (x + 3) ^ 2 + 4
