Advanced MathMediumUsing a symmetry relation of a quadratic
Advanced Math practice question
A quadratic function f satisfies f(x) = f(6 − x) for all values of x, and f(0) = 5. What is the value of f(6)?
Answer: 5
Put x = 0 into the relation: f(0) = f(6), so f(6) = 5.
Common wrong answers
- If you answered 0
- 0 confuses the input with the output.
- If you answered 11
- 11 adds 6 to 5.
- If you answered -5
- −5 has the wrong sign; the relation says the values are equal.
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