A parabola passing through the point (-4,-2) has its vertex at the origin

Question -

A parabola passing through the point (-4,-2) has its vertex at the origin and y-axis as its axis. The latus rectum of

the parabola is

Options:

A . 6

B . 8

C . 10

D . 12

Answer: Option B
:
B

Let the equation of parabola is $x^{2} = 4 a y,$ but a = $\frac{4}{- 2} = - 2. T h e n e q u a t i o n i s x^{2} = - 8 y$ and latus rectum = 4a = 8

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