Question

A parabola can be represented by the equation y2 = –x. What are the coordinates of the focus and the equation of the directrix? focus: (negative one-fourth, 0); directrix: x = One-fourth focus: (one-fourth, 0); directrix: x = Negative one-fourth focus: (–4,0); directrix: x = 4 focus: (4,0); directrix: x = –4.

Answer 1

The focus and directrix of the parabola are (–0.25, 0) and x = 0.25. Then the correct option is A.

What is the parabola?

It is the locus of a point that moves so that it is always the same distance from a non-movable point and a given line. The non-movable point is called focus and the non-movable line is called the directrix.

A parabola can be represented by the equation y² = – x.

The coordinates of the focus and the equation of the directrix will be given as

We know that the standard equation of the parabola y² = – 4ax.

On comparing, we have

a = 1/4 = 0.25

The focus of the parabola is at (–a, 0) that is (–0.25, 0).

The directrix of the parabola will be given as

y = a

x = 0.25

More about the parabola link is given below.

brainly.com/question/8495504