contestada

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

Respuesta :

xero099

The coordinates of the focus and the equation of the directix are F(x, y) = (- 1 / 4, 0) and x = 1 / 4, respectively.

What are the coordinates of the focus and the equation of the directrix of a given parabola?

According to the statement, we find a parabola of the form (y - k)² = 4 · p · (x - h), where p is the distance from the vertex to the focus. The formulae for its focus and the directrix are:

Focus

F(x, y) = (h + p, k)

F(x, y) = (0 - 1 / 4, 0)

F(x, y) = (- 1 / 4, 0)

Directrix

x = h - p

x = 0 - (- 1 / 4)

x = 1 / 4

Then, the coordinates of the focus and the equation of the directix are F(x, y) = (- 1 / 4, 0) and x = 1 / 4, respectively.

To learn more on parabolas: https://brainly.com/question/21685473

#SPJ1

Otras preguntas