CFAI L3 derivatives Q on vega

Hello, I am having a bit of trouble with the below concept if anyone would like to be kind and explain.

How exactly (from the table below) is the short stock+ short put position short vega? Also the question doesnt specify that the subject would have a short put position so why do we just assume that it’s a short put position? The explanation below talks about deltas but doesnt show calculations for the vegas…


What’s vega for a short stock position?

What’s vega for a short put position?

What’s the sum of those two?