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Find g(x), where g(x) is the translation 2 units left of f(x)=–6x+2.

Question

Find g(x), where g(x) is the translation 2 units left of f(x)=–6x+2.

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Solution

To find the function g(x) which is the translation 2 units to the left of f(x) = -6x + 2, we need to replace every x in f(x) with (x+2). This is because moving to the left on the graph corresponds to adding to the x-values.

So, g(x) = f(x+2) = -6(x+2) + 2.

Simplify the equation:

g(x) = -6x -12 + 2 g(x) = -6x -10

So, the function g(x) which is the translation 2 units to the left of f(x) = -6x + 2 is g(x) = -6x -10.

This problem has been solved

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