A curve is given by (y = 5 – x – 2x^{2}). Find the equation…

A curve is given by (y = 5 – x – 2x^{2}). Find the equation of its line of symmetry.

  • A.
    (x = frac{-41}{8})
  • B.
    (x = frac{-1}{4})
  • C.
    (x = frac{1}{4})
  • D.
    (x = frac{41}{8})
Correct Answer: Option B
Explanation

The line of symmetry of the curve is at the minimum point of the curve (ie y’ = 0)

(frac{ mathrm d}{ mathrm d x} left ( 5-x-2x^{2} right)) = -1 – 4x

If y’ = 0, we have (-1 – 4x = 0 implies 4x = -1)

(x = frac{-1}{4})


 

 

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