Let f(x)=−2x−7. write a function g whose graph is a translation 6 units to the right of the graph of f

the function g whose graph is a translation 6 units to the right of the graph of f(x) is -2x - 1

The translation is a means of changing the position of an object within the xy plane without changing its geometry.

Given the function f(x) = -2x - 7

Translating the function by 6 units to the right means adding 6 units to the given function since towards the right is a positive value.

The resulting function will be:

g(x) = -2x - 7 + 6

g(x) = -2x - 1

This shows that the function g whose graph is a translation 6 units to the right of the graph of f(x) is -2x - 1

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