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Find g(x), where g(x) is the translation 11 units right of f(x)=7|x+6|+4.

Question

Find g(x), where g(x) is the translation 11 units right of f(x)=7|x+6|+4.

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Solution

To find g(x), which is the translation 11 units right of f(x)=7|x+6|+4, we need to adjust the input of the function f(x) by subtracting 11 from x. This is because moving to the right on the graph corresponds to increasing the input value, so to achieve the same output with a larger input, we need to "compensate" by subtracting from the input.

So, g(x) is given by:

g(x) = 7| (x-11) + 6 | + 4 = 7| x - 5 | + 4

So, the function g(x) = 7| x - 5 | + 4 is the translation 11 units right of the function f(x) = 7| x + 6 | + 4.

This problem has been solved

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