Begin by graphing the standard absolute value function f(x) = | x |. then use transformations of this graph to describe the graph the given function.

h(x) = 2 | x | + 2

The  parent function f(x) is given by:

The transformed function h(x) is given by:

We know that the graph of the function g(x) is a vertical stretch  of the graph of the parent function plus a translation of the function 2 units up.

( Since if f(x) → a f(x)

Then the function is a vertical stretch if |a|>1 and a vertical compression if 0<|a|<1  

Also, a function f(x) → f(x)+k is shifted k units up or down depending on whether k>0 or k<0 respectively )

where are the choices?