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
2 answers:
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.
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