Advanced MathMediumMinimum from scaled vertex form
Advanced Math practice question
What is the minimum value of the function f(x) = 2(x − 3)² − 5?
Answer: -5
The squared term is at least 0, reached at x = 3; the minimum value is −5.
Common wrong answers
- If you answered 3
- 3 is the x-value at the minimum; the minimum VALUE is −5.
- If you answered 5
- The constant is −5; the minimum is negative.
- If you answered -3
- Read vertex form y = a(x − h)² + k: the minimum is k = −5.
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What are the solutions to x² + 6x + 8 = 0?
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