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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