Answer:
A. \(y=|x|+6.5\)
Step-by-step explanation:
We have been given an absolute value function \(y=|x|\). We are asked to translate the given function 6.5 units up.
Let us recall translation rules.
\(f(x)\rightarrow f(x-a)=\text{Graph shifted to right by a units}\)
\(f(x)\rightarrow f(x+a)=\text{Graph shifted to left by a units}\)
\(f(x)\rightarrow f(x)+a=\text{Graph shifted upwards by a units}\)
\(f(x)\rightarrow f(x)-a=\text{Graph shifted downwards by a units}\)
Using translation rules after translation our function would be \(y=|x|+6.5\).
Therefore, option A is the correct choice.
