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An equation of the latus rectum of the parabola
$x^{2} + 4 x + 2 y = 0$ is

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y=−32

y=23

y=32

y=−23

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detailed solution

Correct option is C

We can write the equation of the parabola as(x+2)2=−2(y−2)Shifting the origin to (–2, 2), the equation isX2=−2Y where X=x+2,Y=y−2Equation of the latus rectum is Y=−24=−12⇒y=32.

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An equation of the latus rectum of the parabolax2+4x+2y=0 is

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An equation of the latus rectum of the parabola
$x^{2} + 4 x + 2 y = 0$ is