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

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

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The simplified ratio of 15:5 is 3:1, divided both sides by 5
Hyp^2 = a^2 + b^2
sqrt (hyp) = 2
hyp = 4
hyp^2 = 16 then from above a^2 + b^2 = 16
Try A? I’m not 100% sure but I got A