Find g(x), where g(x) is the translation 5 units right and 7 units up of f(x)=7|x–3|+10.
Question
Find g(x), where g(x) is the translation 5 units right and 7 units up of f(x)=7|x–3|+10.
Solution
To find g(x), we need to apply the transformations to the function f(x) = 7|x - 3| + 10.
-
Translation 5 units to the right: This means we replace every x in the function with (x - 5). So, f(x) becomes f(x - 5) = 7| (x - 5) - 3 | + 10 = 7| x - 8 | + 10.
-
Translation 7 units up: This means we add 7 to the entire function. So, f(x - 5) becomes f(x - 5) + 7 = 7| x - 8 | + 10 + 7 = 7| x - 8 | + 17.
Therefore, g(x) = 7| x - 8 | + 17.
Similar Questions
Find g(x), where g(x) is the translation 11 units right of f(x)=7|x+6|+4.
Find g(x), where g(x) is the translation 7 units down of f(x)=7|x+2|+4.g(x)=7|x+2|–3g(x)=7|x+9|+4g(x)=7|x+2|+11g(x)=7|x–5|+4Submit
Find g(x), where g(x) is the translation 6 units left and 5 units up of f(x)=–3|x+1|–10.
Find g(x), where g(x) is the translation 7 units right of f(x)=–3x2–1.
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
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.