Question

Geometry math question no Guessing Please help

Answer 1

Starting from the parent function $f(x) = x^2$, the first function is

$f(x-2) + 5$

So, it's translated two units right and five units up.

The second function is

$f(x+2) - 3$

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