B. 
C. 
Shannon T. answered • 10/31/20
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You can use a graphing utility to hep with this. In Desmos, use the plus sign in the left corner to insert the table of values given. Then click the plus again, and enter a regression equation to match the variables in the table. Be sure to use the ~ instead of = to get the regression. You will want to enter y1~ax1^2+bx1+c. This will return the values for a, b, and c to closely match the points in the table.
Shannon T.
It is definitely quadratic. I assumed you had a typo in the problem, but the form you are given in that last part - "leave your answer in the form..." - will tell you what type of function you are looking for. Without a calculator, it will really be a guess and check endeavor.
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10/31/20
Brian P.
This is an issue I keep running into. I am taking a state licensure test where I am told on the website that no calculators are permitted. I need to answer these types of questions (regardless of amount of work needed (they give you over 4 hours, so plenty of time for Math), realizing it could be plentiful with finding sums and means of x and y, raw scores, sums of squares blah blah. I don't need the work, just the steps of how to at least estimate the answer from 4 choices. Does it have something to do with finding the type of function? Is it quadratic? Is that some starting point or I am I way off?10/31/20