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Find g(x), where g(x) is the translation 7 units right of f(x)=–3x2–1.

Question

Find g(x), where g(x) is the translation 7 units right of f(x)=–3x2–1.

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Solution

To find g(x), which is the translation 7 units to the right of f(x) = -3x^2 - 1, we need to replace every x in f(x) with (x-7). This is because moving a function to the right involves subtracting from the x-values.

So, g(x) = -3(x-7)^2 - 1.

This is the function g(x) that is 7 units to the right of f(x).

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