The functions are f(x) = 3 · |x| - 2 and g(x) = - 3 · |x - 6| + 2 and their graphs are shown in the image attached aside.
What is the transformation of a given function?
In this problem we have two functions defined in the statement, the first involves an absolute value function and the second function represents the first function after being reflected around the x-axis and translated horizontally in + 6 units. Now we proceed to derive the expression of the function g(x):
g(x) = - (3 · |x - 6| - 2)
g(x) = - 3 · |x - 6| + 2
Finally, we proceed to graph the two functions, whose picture is attached aside. The function f(x) is the red one and the function g(x) is the blue one.
To learn more on transformation rules: https://brainly.com/question/17254486
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