Advanced MathHardMinimum value from factored form
Advanced Math practice question
The function k is defined by k(x) = (x − 2)(x − 6). What is the minimum value of k(x)?
Answer: -4 or −4
The zeros are 2 and 6, so the vertex is at their midpoint, x = 4. k(4) = (2)(−2) = −4.
Common wrong answers
- If you answered 4
- 4 is WHERE the minimum occurs, not the minimum value.
- If you answered 12
- 12 is k(0), the y-intercept.
- If you answered -12
- −12 has the wrong idea; k(0) = 12, and the minimum is −4.
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