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lyn36
04.06.2020 •
Mathematics
Which is the equation of a parabola with vertex (0,0) and focus (0,2)?
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Ответ:
The equation of the parabola is y=(1/8)x^2
Step-by-step explanation:
We know the vertex (0,0) and the focus (0,2) of the parabola.
The equation in vertex form is written as:
Then, in this case, we have the equation:
As the focus is (0,2), it is at a distance of 2 units from the vertex (0,0).
For the focus, we have the following equation:
where p is the distance from the focus to the vertex (in this case, p=2).
h and k are the vertex coordinates, both 0.
So we have:
Ответ: