Option B: 'Take after' is an idiomatic expression that means 'resembles (a parent or relative)'
It forms a complete and meaningful sentence here. Hence option B is correct.
Options A, C and D:
'Take (somebody) through' means 'to explain something to someone'.
'Take away' means 'to remove a person' or 'remove the pain away from someone'.
'Make after' means 'to pursue someone'.
These expressions do not provide the appropriate meaning to the given sentence.
Hence options A, C and D are incorrect.