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please follow directions for all problems, and also show all work, since I would like to learn how to solve them, step by step. please

please follow directions for all problems, and also show all work, since I would like to learn how to solve them, step by step. please make sure all answers and steps are neat and readable.

here is a little help the professor gave me in class for each problem:

and also some of my notes from classunderstand > thank you

1) Y coordinate of vertex

x coordinate is seconds

2A) vertex formula

2b) quadratic formula

3a)x vertex formula

3b)y verte formula

4a) vertex

4b)plug in for x

4c)quadratic formula

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