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.
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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