1. Show diagrammaticially the formation O2-ion.

The diagram given by your friend is correct.
In oxygen atom there are 6 electrons in outermost shell. It can take 2 electrons from outside to complete its octet.
Oxygen atom when gain two electrons it acquire the charge of -2. This is now known as oxide ion (O2-) with 8 electrons in its outmost shell. It always exist when there is source of donar atom as shown below.

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