16Hit 1600
Advanced MathHardCoefficient from a known axis

Advanced Math practice question

The graph of f(x) = x² + bx + 10 is symmetric about the line x = 3. What is the value of b?

Answer: -6

The axis satisfies −b/2 = 3, so b = −6.

Common wrong answers

If you answered 3
3 is the axis itself; b is −2 · 3 = −6.
If you answered 6
x = −b/(2a) = 3 with a = 1 forces b to be negative: b = −6.
If you answered -3
Multiply by 2: b = −2 · 3 = −6.

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