Respuesta :
The focus of the parabola is at the point (0, 2).
We have given,
A parabola and its directrix are shown on the graph
We have to determine the focus of the parabola
What is the focus of the parabola?
The focus of a parabola resides at the same distance from the parabola's vertex, as the distance from the parabola's vertex to the directrix, and on the side of the curve's concavity.
In fact, this is a nice geometrical property of the parabola and the way it can be constructed based on its definition All those points on the lane whose distance to the focus equals the distance to the directrix.
Then, the focus must be at a distance of two units from the vertex, (0,0), in line with the parabola's axis of symmetry (x=0), and on the positive side of the y-axis (notice the directrix is on the negative side of the y-axis.
So that puts the focus of this parabola at the point (0, 2).
To learn more about the parabola visit:
https://brainly.com/question/4148030
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