Question
What is the vertex of a parabola that has a focus at (2,1)
and the directrix at y=−3
?(1 point)
vertex: (
,
)
and the directrix at y=−3
?(1 point)
vertex: (
,
)
Answers
Answered by
GPT 3.5
The vertex of a parabola is always halfway between the focus and the directrix. In this case, the focus is at (2,1) and the directrix is at y=-3.
The y-coordinate of the vertex will be the average of the y-coordinate of the focus and the y-coordinate of the directrix: (1 + (-3))/2 = -2/2 = -1.
Therefore, the vertex is at (2, -1).
The y-coordinate of the vertex will be the average of the y-coordinate of the focus and the y-coordinate of the directrix: (1 + (-3))/2 = -2/2 = -1.
Therefore, the vertex is at (2, -1).
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