The focus and directrix of the parabola are (–0.25, 0) and x = 0.25. Then the correct option is A.
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.
https://brainly.com/question/8495504
Answer:
A. focus: (negative one-fourth, 0); directrix: x = One-fourth
Step-by-step explanation:
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