ANSWER
b. Reflect across the y-axis and translate 5units up.
Step-by-step explanation
The parent function is
![g(x) = ln(x)](https://img.qammunity.org/2020/formulas/mathematics/high-school/omryfwowr5ki20yfxj8lcvt4tybsmuavuz.png)
A negation of the x-value means a reflection in the y-axis.
Adding 5 to the parent function will move the graph up 5 units.
Therefore
![f(x) = ln( - x) + 5](https://img.qammunity.org/2020/formulas/mathematics/high-school/w3ikrt8170ob3oqmd99wyup40gcir99xqd.png)
is a reflection across the y-axis and a translation 5 units up.
The correct choice is B.