Find the minimum value of \(y = x^{2} + 6x - 12\).
FURTHER MATHEMATICS
WAEC 2015
Find the minimum value of \(y = x^{2} + 6x - 12\).
- A. -21
- B. -12
- C. -6
- D. -3
Correct Answer: A. -21
Explanation
\(y = x^{2} + 6x - 12\)
\(\frac{\mathrm d y}{\mathrm d x} = 2x + 6 = 0\)
\(2x = -6 \implies x = -3\)
\(y(-3) = (-3)^{2} + 6(-3) - 12 = 9 - 18 - 12 = -21\)
Post an Explanation Or Report an Error
If you see any wrong question or answer, please leave a comment below and we'll take a look. If you doubt why the selected answer is correct or need additional more details? Please drop a comment or Contact us directly. Your email address will not be published. Required fields are marked *