Find g(x), where g(x) is the translation 1 unit right and 6 units down of f(x)=–10(x+7)2+7.g(x)=–10(x+8)2+1g(x)=–10(x+6)2+1g(x)=–10(x+6)2+13g(x)=–10(x+8)2+13Submit
Question
Find g(x), where g(x) is the translation 1 unit right and 6 units down of f(x)=–10(x+7)2+7.g(x)=–10(x+8)2+1g(x)=–10(x+6)2+1g(x)=–10(x+6)2+13g(x)=–10(x+8)2+13Submit
Solution
The function g(x) is a translation of the function f(x) = -10(x+7)^2 + 7. To translate the function 1 unit to the right, we subtract 1 from the x term inside the parentheses, resulting in f(x) = -10(x+6)^2 + 7. To translate the function 6 units down, we subtract 6 from the entire function, resulting in g(x) = -10(x+6)^2 + 1. So, the correct answer is g(x) = -10(x+6)^2 + 1.
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