Starting from the parent function [tex] f(x) = x^2 [/tex], the first function is
[tex] f(x-2) + 5 [/tex]
So, it's translated two units right and five units up.
The second function is
[tex] f(x+2) - 3 [/tex]
So, it's translated two units left and three units down.
This means that, horizontally, you go from two units right to two units left, so you must go 4 units to the left globally.
x-coordinate: -4
Vertically, you go from five units up to three units down, so you must go 8 units down globally.
y-coordinate: -8
