The equation of the function g from the indicated transformation of the graph of f is g(x) = 4 - |x - 2|
How to determine the equation of the function g from the indicated transformation of the graph of f?
The equation of the function f is given as:
f(x) = 4 - |x + 1|
From the graph, we can see that:
The function g(x) is 3 units to the right of the function f(x)
This means that
g(x) = f(x - 3)
So, we have
f(x - 3) = 4 - |x - 3+ 1|
Evaluate
f(x - 3) = 4 - |x - 2|
This gives
g(x) = 4 - |x - 2|
Hence, the equation of the function g from the indicated transformation of the graph of f is g(x) = 4 - |x - 2|
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