What is f(x) = 7x2 + 42x written in vertex form?

a. f(x) = 7(x + 6)2 – 6
b. f(x) = 7(x + 6)2 – 42
c. f(x) = 7(x + 3)2 – 9
d. f(x) = 7(x + 3)2 – 63

Can someone me and do the problem plz so i can understand it more better

Afootball is throw by a quarterback to a receiver

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)