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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