Ineed understanding and working this out

There's not much here that needs a lot of brainpower. You are given a function and asked to graph it. The large numbers and high powers tell me that a graphing calculator would be a good option for doing this.

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If you want to find some points on the curve and plot it by hand, it is convenient to rewrite the function as

... s(t) = -6((t -6)t² +9)