16Hit 1600
Advanced MathMediumMaximum of a downward parabola

Advanced Math practice question

What is the maximum value of the function f(x) = −(x + 1)² + 8?

Answer: 8

The squared term is at most 0 (at x = −1) because of the negative sign, so the maximum value is 8.

Common wrong answers

If you answered 7
7 is f(0), the y-intercept; the peak sits at x = −1 with value 8.
If you answered -1
−1 is the x-location of the peak; the maximum VALUE is 8.
If you answered -8
The negative sign flips the parabola, making +8 the top, not the bottom.

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