The transformed function is:
g(x) = 2*|x - 4| - 6
And the graph can be seen below.
The original function is the parent absolute value function:
f(x) = |x|.
First, we stretch it vertically by a factor of 2, so we just multiply it by 2:
g(x) = 2*f(x).
Then, we move it 6 units down and 4 units to the right, this is written as:
g(x) = 2*f(x - 4) - 6.
Replacing f(x) by the actual function:
g(x) = 2*|x - 4| - 6
Now we just need to graph that, the graph of the transformed function can be seen below.
If you want to learn more about transformations:
https://brainly.com/question/4289712
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