Halothane is the classic example of an inhalational anaesthetic that depresses the heart directly. Its hallmark cardiovascular signature is a dose-dependent decline in cardiac output and arterial pressure — the deeper the anaesthesia, the greater the depression, with mean pressure often falling by roughly $20\text{--}30$ mm Hg.
The mechanism is reduced myocardial contractility combined with blunting of the baroreceptor reflex, so the expected compensatory tachycardia does not occur; heart rate is typically unchanged or slowed. A second clinically critical property is that halothane sensitises the myocardium to catecholamines, so injected adrenaline or rising $CO_2$ can precipitate ventricular ectopy and arrhythmias.
This profile excludes the other choices: there is no rise in cardiac output, no increase in systemic vascular resistance, and the agent is far from haemodynamically silent — cardiodepression and hypotension are precisely what define it.
\[\boxed{\text{Halothane} \rightarrow \downarrow \text{cardiac output and BP, proportional to depth}}\]