What is the focus and the directrix of the graph of #x= 1/24y^2#?
1 Answer
Explanation:
Parabola Focus:
A parabola is the locus of points such that the distance to a point (the focus) equals the distance to a line (the directrix).
Parabola Standard Equation:
Rewrite
Therefore,
The focus of the parabola is represented by
Since the parabola is symmetric around the x-axis and so the focus lies a distance
Hence, focus is:
Parabola is symmetric around the x-axis and so the directrix is a line parallel to the y-axis, a distance