Need help in bezier curve

So, given four points how can i visualize how will the animation look like? like 0.5, 0, 1, 0.5, here i know 0.5 represents time and 0 as acceleration, then 1 as time and 0.5 as acceleration, so without going to a website or using dev tools how can i imagine yeah this goes decelerating first then stable then acceleration or somewhere it just springs, OR, lets say i have given four points i have to make it little bit fast at starting how can i play with points to make that happen? @Kevin please help and other members too
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