A Study of TAK-951 in Participants With Cyclic Vomiting Syndrome (CVS)

Inclusion Criteria: 1. In the opinion of the investigator, the participant is capable of understanding and complying with protocol requirements and is eligible for the study. 2. The participant or, when applicable, the participants' legally acceptable representative signs and dates a written or electronic, informed consent form and any required privacy authorization before the initiation of any study procedures. 3. The participant is male or female and aged 18 to 50 years, inclusive. 4. The participant has at least a 1-year history of CVS diagnosis based on the Rome IV diagnostic criteria. 5. The participant has had at least 4 CVS episodes over 6 months before screening during the last 12 months. 6. If taking eligible medications prescribed for the prophylaxis of CVS, the participant must be receiving a stable dose for at least 3 months before screening. 7. The participant is willing and able to exclusively use the protocol rescue medications if needed. 8. The participant has a stereotypic prodrome with onset less than or equal to (\<=) 4 hours before CVS emetic events. 9. The participant has a body mass index (BMI) between 18 and 32 kilogram per square meter (kg/m\^2), inclusive. 10. A male participant who is nonsterilized and sexually active with a female partner of childbearing potential agrees to use barrier method of contraception (example, condom with or without spermicide) from signing of informed consent throughout the duration of the study and for 30 days after last dose OR a surgically sterile female participant, or females of nonchildbearing potential with laboratory confirmation of postmenopausal status (that is, follicle-stimulating hormone levels greater than (\>) 40 milli-international units per milliliter \[mIU/mL\]) or one of childbearing potential who is sexually active with a nonsterilized male partner agrees to use a highly effective method of contraception from signing of informed consent throughout the duration of the study and for 30 days after the last dose. Exclusion Criteria: 1. The participant has participated in another interventional study within 4 weeks or 5 half-lives of the investigational study drug, whichever is longer, before the screening visit. The 4-week window will be derived from the date of the last study procedure and/or AE related to the study procedure in the previous study to the screening visit of the current study. 2. The participant has potentially received TAK-951 in a previous clinical study, or has previously completed, discontinued, or withdrawn from this study. 3. The participant is an immediate family member, study site employee, or is in a dependent relationship with a study site employee who is involved in conduct of this study (example, spouse, parent, child, sibling) or is unable to provide consent (example, incapacity or potential duress or undue influence on informed consent process). 4. The participant has a history of significant multiple and/or severe allergies (example, food, drug, latex allergy) or has had an anaphylactic reaction or significant intolerance (including medication-induced emesis) to prescription or nonprescription drugs or food, or allergic reactions to allowed rescue medication(s). 5. The participant has any condition or abnormality (including laboratory abnormalities), current or past, that, in the opinion of the investigator or medical monitor, would compromise the safety of the participant or interfere with or complicate the assessment of signs or symptoms of CVS. 6. The participant uses medical or recreational cannabis more than 3 days/week or its usage triggers nausea and/or vomiting. 7. The participant has a history of hypotension, autonomic instability, orthostatic hypotension (excluding in the context of concurrent dehydration), postural orthostatic tachycardia syndrome or a history or presence of 2 or more incidents of syncope within the last 5 years before screening. 8. Has a history of long corrected QT interval QTc, history of significant cardia arrhythmia, or a history or presence of: * A family history of unexplained sudden death or channelopathy; or * Brugada syndrome (that is, right bundle branch block pattern with ST-elevation in leads V1-V3); or * Second-degree atrioventricular block type 2, third degree atrioventricular block, prolonged QT interval with Fridericia correction method (QTcF) interval, hypokalemia, hypomagnesemia, or conduction abnormalities; or * Risk factors for Torsade de Pointes (example, heart failure, cardiomyopathy, or family history of Long QT Syndrome); or * Any clinically significant electrocardiogram (ECG) findings or medical history including: long or short QTcF (over 450 millisecond \[msec\] or less than 360 msec), bifascicular block or QRS greater than or equal to (\>=120) msec or PR interval \> 210 msec at screening; participants with QTcF \>450 msec (up to 470 msec) taking chronic tricyclic antidepressants (\>3 months) may be enrolled after consultation with the medical monitor; or o The participant has a documented history of sinus bradycardia (less than \[\<\] 45 beats per minute \[bpm\]), sinoatrial block or sinus pause \>=3 seconds, or sinus node dysfunction. 9. The participant has a history of other cardiovascular disease or cerebrovascular disease as assessed by the investigator including: essential hypertension requiring therapy or a history or presence of cerebrovascular disease such as cardiac valvulopathy, myocardial infarction, or stroke. 10. The participant has an average semirecumbent systolic blood pressure (SBP) \< 95 or \>140 or a diastolic blood pressure (DBP) \<65 millimeter of mercury (mmHg) or \>90 mm Hg at screening. 11. The participant has a screening average heart rate (HR) \<55 or \>100 bpm; athletic participants with a HR \<55 bpm may be enrolled based upon the investigator's judgement provided that HR is \>45 bpm and rhythm is sinus bradycardia. 12. The participant has orthostatic hypotension defined as a decrease in systolic blood pressure (BP) \>=20 mmHg or a decrease in diastolic BP \>=10 mmHg after approximately 3 minutes of standing when compared with BP from the semirecumbent position, at screening. 13. The participant has postural orthostatic tachycardia, defined as an increase of 30 bpm or HR \>120 bpm after standing for approximately 3 minutes, at screening. 14. The participant is taking medications commonly associated with tachycardia, palpitations, hypotension, or QTc prolongation as potential adverse effects (example, beta blockers, nitrates, sildenafil). 15. The participant is taking medications prescribed for the prophylactic management of CVS with possible safety or tolerability interactions with TAK-951 as determined by the investigator(s). As above, chronic (\>3 months) consistent dose of tricyclic antidepressants are allowed after consultation with the medical monitor if QTcF is \<470. The use of prochlorperazine/or promethazine as a rescue medication is explicitly prohibited until \>30 hours (5 half-lives of TAK-951) after investigational product administration. 16. The participant has a history of autonomic dysfunction. 17. The participant has active neoplastic disease or history of neoplastic disease within 5 years of screening visit (except for basal or squamous cell carcinoma of the skin or carcinoma in situ of the uterine cervix that has been definitively treated with standard of care approaches) and has received treatment in the last 5 years. 18. The participant has a history of requiring emergency room/urgent medical treatment and intravenous fluid therapy for management of dehydration associated with clinically relevant hypotension for \>2 CVS episodes in the last 6 months. 19. The participant has a history of other conditions associated with episodic emesis including: type 1 diabetes mellitus, type 2 diabetes mellitus, gastroparesis, gastrointestinal dysmotility, inflammatory bowel disease, eosinophilic esophagitis, rumination, severe functional dyspepsia, severe gastrointestinal reflux disease, large (\>3 centimeter \[cm\]) hiatal hernia, or unrepaired intestinal malrotation. 20. The participant has taken opiate medications for more than 3 days in the last month. 21. The participant has a progressive neurological disorder or a structural disorder of the brain from birth, trauma or past infection. 22. The participant has an uncontrolled psychiatric disorder, to include history of suicide attempt, active major depressive disorder or severe panic disorder, or at the discretion of the investigator(s), for any clinically significant psychiatric history that would likely interfere with full participation in the study. 23. The participant has started a nonpharmacologic prophylactic approach (example, acupuncture, biofeedback, chiropractic methods) within 1 month before initiation of the treatment period. 24. The participant has a history of substance abuse. 25. The participant has a positive pregnancy test or plans to become pregnant during the study period. 26. The participant is a pregnant or lactating/nursing female. 27. The participant has a history of intolerance, hypersensitivity, or idiosyncratic reaction to TAK-951 (or any other glucose-dependent insulinotropic polypeptide \[GIP\] receptor agonist investigational products) or to any other ingredients of the investigational product. 28. The participant has a clinically unstable disease or condition. 29. The participant has any disease or condition that could compromise the function of those body systems as assessed by the investigator that could result in altered absorption, excess accumulation, or impaired metabolism or excretion of the test medications (example, mild, moderate or severe renal impairment \[that is, creatinine clearance \<90 milliliter per minute \[mL/min\] CrCL\]) and/or altered hepatic function as assessed by the investigator (example, alanine aminotransferase \[ALT\] \>2\*the upper limit of normal \[ULN\], total bilirubin \[TB\]\>1.5\*ULN, alkaline phosphatase \>1.5\*ULN). 30. The participant has known or suspected active coronavirus disease 2019 infection as assessed by the investigator.