Question

Given the following functions f(x) and g(x), describe the changes (horizontal shifts, vertical shifts, etc.) to the graph of g(x) with respect to the graph of f(x).

f ( x ) = | x | g ( x ) = - | x + 3 | -2

Answer 1

g(x)=-|x+3|-2
So, first you have to subtract 2 (in other words the line will go two to the right).
Second, you have to add 3 and then take the absolute value, so it will move three up and curve up too. Hope this helped!