The function g from the indicated transformation of the graph of f is g(x) = 4 - |x - 2|
The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
The equation of the function f is given as :
F(x) = 4-|x+1|
Shifting of a graph is done by adding any arbitrary constant to the function in shifting.
For example, If shift up by 1 unit, add 1 to the function
So the function g(x) is 3 units to the right of the function f(x)
⇒ g(x) = f(x - 3)
So, F(x - 3) = 4 - |x - 3+ 1|
Evaluate both equations,
⇒ F(x - 3) = 4 - |x - 2|
⇒ g(x) = 4 - |x - 2|
Hence, the function g from the indicated transformation of the graph of f is g(x) = 4 - |x - 2|
Learn more about the function here:
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