Function f, shown below, is translated down 3 units and left 4 units to create function g. f(x)=3|x-2|-5. fill in the values of a, h, and k to write function g.

The graphs of the functions can be transformed, obtaining related functions.
 We consider two kinds of transformations.
 Vertical and horizontal displacements: It is assumed that c is a positive constant, ie c> 0 and y = f (x) then
 y = f (x) + c moves the graph c units up.
 y = f (x) - c moves the graph c units down.
 y = f (x + c) shifts the graph c units to the right.
 y = f (x - c) shifts the graph c units to the left.
 We have then:
 f (x) = 3 | x-2 | -5
 Is down 3 units
 f (x) = 3 | x-2 | -5 -3
 and left 4 units
 f (x) = 3 | (x-4) -2 | -5 -3
 Rewriting
 g (x) = 3lx-6l-8
 
 g (x) = 3lx-6l-8