Answer:
(-2, 4)
Step-by-step explanation:
The vertex of the absolute value function ...
f(x) = |x|
is located at (x, y) = (0, 0).
Translating the function h units horizontally and k units vertically makes the function ...
f(x -h) +k
and moves the vertex to (x, y) = (h, k).
Comparing the translated function to the one you're given, you see that ...
h = -2, k = +4
That means the vertex is located at ...
(h, k) = (-2, 4) . . . . matches the 3rd choice
