The true statement of the parabola is (a) directrix will cross through the positive part of the y-axis.
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.
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.
Read more about parabola at:
https://brainly.com/question/4061870
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Complete question
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 true?
Check all that apply.
The directrix will cross through the positive part of the y-axis.
The equation of the parabola will be in the form y2 = 4px where the value of p is negative.
The equation of the parabola will be in the form x2 = 4py where the value of p is positive.
The equation of the parabola could be y2 = 4x.
The equation of the parabola could be x2 = y.
