Question

Find g(x), where g(x) is the translation 9 units up of f(x) = |x|.

Answer 1

g(x) is the translation 9 units up of f(x) = |x|

$g(x)=1|x-0|+9$

Given :

The function f(x)=|x|

we need to translate f(x) , 9 units up to get g(x)

g(x) is the translation 9 units up of f(x)

when graph of f(x) is translated 9 units up , then we add 9 at the end

If f(x)=|x| is translated 'a' units up then its  becomes |x|+a

g(x) is the translation 9 units up of f(x) = |x|

So , $g(x)=|x|+9$

Write the answer in the given form a|x-h|+k

$g(x)=1|x-0|+9$

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