What is the equation of a parabola whose vertex is at the origin and whose directrix is y = 3?

Answers

Answer 1

Answer:

The equation of a parabola whose vertex is at the origin and whose directrix is y = 3 will be y = 12x².

What is the parabola?

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

Let the point (h, k) is the vertex of the parabola and a is the focus.

Then the equation of the parabola will be given as,

y = 4a(x - h)² + k

The vertex of the parabola is at the origin, then the equation of the parabola will be

y = 4a(x - 0)² + 0

y = 4ax²

We know that the distance between the directrix - graph and focus graph is the same.

Then the value of focus will be 3.

Then the equation of the parabola will be

y = 4 × 3 × x²

y = 12x²

The equation of a parabola whose vertex is at the origin and whose directrix is y = 3 will be y = 12x².

More about the parabola link is given below.

brainly.com/question/8495504

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Answer 2

Answer:

Y^2=4*3*X=12X Hope this helps!

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Answer:c

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Bill and Lisa are surveying their classmates about their summer reading. Their questions are given below:Bill: How many books were recommended by the book reading club this month?
Lisa: How many books did you read from the recommended list?

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Simplify the following expression.
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