Advanced MathHardMinimum of a factored quadratic with a leading coefficient
Advanced Math practice question
The function h is defined by h(x) = 3(x − 1)(x − 5). What is the minimum value of h(x)?
Answer: -12
The zeros are 1 and 5, so the vertex is at x = 3, and h(3) = 3(2)(−4) = −12.
Common wrong answers
- If you answered 3
- 3 is the x-coordinate of the vertex.
- If you answered -4
- −4 forgets the factor of 3.
- If you answered -9
- −9 is h(2), not the minimum.
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