Advanced MathMediumReading the maximum from vertex form
Advanced Math practice question
The function g is defined by g(x) = −2(x − 3)² + 8. What is the maximum value of g?
- A. 8Correct
- B. 3
- C. −2
- D. −8
Answer: A. 8
Since −2(x − 3)² ≤ 0 with equality at x = 3, the greatest value is g(3) = 8.
Why the other answers are wrong
- B. 3
- 3 is WHERE the maximum occurs (the x-coordinate of the vertex), not the maximum value.
- C. −2
- −2 is the leading coefficient; it only tells us the parabola opens downward.
- D. −8
- −8 flips the sign of the vertex's y-coordinate.
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