16Hit1600
Advanced MathEasy–MediumCoefficient of a quadratic from a table

Advanced Math practice question

x | f(x) 1 | 3 2 | 12 3 | 27

The values in the table satisfy f(x) = ax², where a is a constant. What is the value of a?

Answer: 3

Use any row: f(1) = a(1)² = 3, so a = 3. Check: 3(2)² = 12 and 3(3)² = 27.

Common wrong answers

If you answered 9
9 is 27/3, dividing f(3) by x instead of by x².
If you answered 12
12 is f(2); a is the multiplier, found from f(1) = a.
If you answered 1.5
1.5 comes from 3/2, dividing f(1) by x = 2; use matching x and f(x).

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