The focus of a parabola is the point on the axis of symmetry where all the parabola's rays reflect. In this case, the focus is located on the positive x-axis and is 2 units away from the directrix.
The equation for a parabola with a focus on the positive x-axis and 2 units away from the directrix can be written as:
(x - 2)^2 = 4p(y - k)
where (2, k) is the focus point on the positive x-axis, and the directrix is the line y = -2. The value of p is 1 in this case because the focus is 2 units away from the directrix.
Therefore, the equation simplifies to:
(x - 2)^2 = 4(y + 2)
Parabolas focus on the positive x axis, 2 units away from the directrix
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