The base function is x^2. The transformations are: move 4 units to the right (positive direction), and 3 units up (positive direction).
Basically g(x)= f(x-h) + k, where k is vertical and h is horizontal.
The negative in front of the h means it moves to the right —>. The plus sign in front of k means the function moves up ^.
In this equation, h is 4 and k is 3. So it moves 4 to the right and 3 upward.