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What is the directrix of the parabola y=-2x^(2) ? Simplify any fractions.

What is the directrix of the parabola y=−2x2 y=-2 x^{2} ?\newlineSimplify any fractions.

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Full solution

Q. What is the directrix of the parabola y=−2x2 y=-2 x^{2} ?\newlineSimplify any fractions.
  1. Find 'a': We got y=−2x2y = -2x^2. We need to find 'a' first.a=−2a = -2.
  2. Calculate Directrix: Now, the formula for the directrix is y=−14ay = -\frac{1}{4a}.\newlineLet's plug in a=−2a = -2.\newlineDirectrix: y=−14∗(−2)y = -\frac{1}{4*(-2)}.
  3. Simplify Directrix: Time to simplify that.\newliney=−1−8y = \frac{-1}{-8}.
  4. Correct Mistake: Oops, made a mistake, it should be y=18y = \frac{1}{8}.

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