A parabola, with its vertex at (0,0), has a focus on the negative part of the y-axis. which statements about the parabola are tr

Question

2 years ago

10

ue? select two options.

1 answer:

Sedaia [141] · Answer 1 · 2023-10-15T10:11:03+03:00

The true statement of the parabola is (a) directrix will cross through the positive part of the y-axis.

<h3>What are parabolas?</h3>

Parabolas are examples of a conic section such that it is formed by the intersection of a cone with a plane parallel to its side.

<h3>How to determine the true statements?</h3>

From the question, the given parameters are:

Vertex = (0,0)

Focus = Negative side of the y-axis

A parabola has quite a number of forms, one of these forms is the general form.

The general form is represented as:

(x - h)^2 = 4p(y - k)

The vertex of the parabola is

(h, k) = (0, 0).

So, we have:

(x - 0)^2 = 4p(y - 0)

Evaluate the difference

x^2 = 4py

Since the focus is on the negative side, the value of p will be negative.

Also, because the vertex is at the origin, the directrix of the parabola will cross through the positive part of the y-axis.

This means that the true statement of the parabola is (a) directrix will cross through the positive part of the y-axis.