chughes93 chughes93

19-08-2022
Mathematics

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Find g(x), where g(x) is the translation 5 units left of f(x)=|x|.

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barackodam barackodam

19-08-2022

The translation 5 units left of f(x)=|x| is g(x) = |x| + 5

What is translation?

Translation simply indicates the movement of a shape up, down or from side to side but it does not change its appearance in any other way.

Suppose 'q' is a positive number.

Then

( g - a) is a translation of g(x) by q units to the right
(g + a) is a translation of g(x0 to the left.

g(x) + a is a translation of g(x) upwards
g(x) -a is a translation of g(x) downwards

From the information given, we have that g(x) is the translation 5 units left of f(x)=|x|

Hence,

g(x) = |x| + 5

Thus, the translation 5 units left of f(x)=|x| is g(x) = |x| + 5

Learn more about translation here:

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