agitate vs shake up

agitate and shake up both are verbs.

Word	Noun	Adjective	Verb	Adverb
agitate	No	No	Yes	No
shake up	No	No	Yes	No

As verbs, agitate and shake up are synonyms defined as:

Other synonyms of agitate include commove, disturb, raise up, stir up, vex.

As verbs, shake up is a hyponym of agitate; that is, shake up is a word with a more specific, narrower meaning than agitate:

agitate (verb)	shake up (verb)
change the arrangement or position of	make fuller by shaking
cause to be agitated, excited, or roused	change the arrangement or position of
move very slightly	stir the feelings, emotions, or peace of
move or cause to move back and forth	shock physically
try to stir up public opinion	shake; especially (a patient to detect fluids or air in the body)
exert oneself continuously, vigorously, or obtrusively to gain an end or engage in a crusade for a certain cause or person; be an advocate for	organize anew