Advanced MathMediumSum of a quadratic's values at symmetric integer inputs
Advanced Math practice question
The function g is defined by g(x) = x² − 4x + 4. What is the value of g(0) + g(1) + g(2) + g(3) + g(4)?
Answer: 10
g(x) = (x − 2)², so the values are 4, 1, 0, 1, 4, which sum to 10.
Common wrong answers
- If you answered 0
- 0 is g(2) alone.
- If you answered 20
- 20 sums the constant term 4 five times.
- If you answered 30
- 30 sums x² alone for x = 0 to 4.
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What are the solutions to x² + 6x + 8 = 0?
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