If (4,0) is the vertex and y axis the directrix of a parabola, then its focus is

Question

Saurabh Koranglekar · Answer

From the question, it is clear that the axis of the parabola is along the positive direction of thex-axis.
Also, we know that distance between the vertex and the directrix is equal to the distance between the focus and the vertex.
Now, according to the problem, the distance between the vertex and the directrix is 4 units.
As the vertex is given to be(4,0)then the focus will be(4+4,0)=(8,0)

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If (4,0) is the vertex and y axis the directrix of a parabola, then its focus is

If (4,0) is the vertex and y axis the directrix of a parabola, then its focus is

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