what is the equation of the directrix of the parabola given by the equation (y − 3)2 = 8(x − 5)?
The vertex of the parabola is at (5,3) and its focal length is 8/4 = 2.
Since it opens to the right, the directrix will be a vertical line 2 units to the left of the vertex, so its equation will be x=(5-2), or x=3
The vertex of the parabola is at (5,3) and its focal length is
8/4 = 2.
Since it opens to the right, the directrix will be a vertical line 2 units to the left of the vertex,
so its equation will be x=(5-2),
or x=3
distance by the vertex for the focus is 2 = d, the focal distance. so the directrix has located 2 units from the opposite direction to the vertex at y = -1. Vertex to of the equation to a parabola is given by where (h, k) are the coordinates to the vertex.
Writing the Equation to Parabolas
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