Question

A parabola has a vertex at (0,0). The focus of the parabola is located on the positive x-axis. Which part of the graph will the directrix pass through? the origin the negative part of the x-axis the positive part of the x-axis the negative part of the y-axis

Answer 1

the negative part of the x-axis

Answer 2

Answer with explanation:

→→Information given about Parabola

Vertex of the Parabola = (0,0)

Focus is located on the positive x- axis.

Definition of Parabola: A parabola is locus of all the points such that distance from a fixed point known as focus to distance from a fixed line called, Directrix is always constant.

Let focus of the parabola be (k,0), where , k>0.

Distance between vertex (0,0) and focus(k,0) = Distance between vertex (0,0) and point on negative x-axis (-k,0).

Directrix will pass through point (-k,0).

So, equation of Directrix will be, x= -k

Directrix will pass through

Option B: The Negative part of the x -axis.