Question

What is the equation of the directrix of the parabola given by the equation y2 = -24x?

Answer 1

The equation of the directrix of the parabola given is x = 6, Option D is the correct answer.

What is Directrix of a Parabola ?

A parabola is a U shaped curve whose all point are at same distnace from a  point called as focus and a line called as Directrix .

The equation of the parabola given is

y² = -24x

When the standard equation of parabola is

 (y - k)² = 4p (x - h),

where the focus is (h + p, k) and the directrix is x = h - p.

here h = 0

p = -24/4 = -6

x =  0 - (-6)

x = 6

Therefore Option D is the correct answer.

To know more about Directrix

brainly.com/question/17376399

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