Advanced MathVery hardSum of two inputs that share an output
Advanced Math practice question
The function m is defined by m(x) = 2(x − 4)² − 6. If m(a) = m(b) = 12 and a is not equal to b, what is the value of a + b?
Answer: 8
The graph is symmetric about x = 4, so a and b average 4 and sum to 8.
Common wrong answers
- If you answered 4
- 4 is the axis of symmetry.
- If you answered 6
- 6 is the difference between the inputs.
- If you answered 12
- 12 is the shared output.
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