Find g(x), where g(x) is the translation 5 units right and 12 units up of f(x)=3x+5.

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13-05-2018
Mathematics

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Find g(x), where g(x) is the translation 5 units right and 12 units up of f(x)=3x+5.

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gmany gmany · Answer 1 · 2018-05-17T18:42:22+02:00

gmany gmany

17-05-2018

[tex]f(x)=3x+5\\\downarrow/5\ units\ right/\\f(x-5)=3(x-5)+5\\\downarrow/12\ units\ up/\\f(x-5)+12=3(x-5)+5+12\\\\g(x)=3(x-5)+17=3x-15+17=3x+2\\\\Answer:\ \boxed{g(x)=3x+2}[/tex]

Look at the picture.

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