Answer:
The equation of the parabola is:
Step-by-step explanation:
Since the directrix is the line y = -2.5, this is a horizontal line ; thus the parabola opens up or down.
, where (h, k) is the vertex, the focus is (h, k + p), and the directrix is y = k - p.
The vertex is (h, k), or (0,0)
The directrix is y = -2.5
so k - p = -2.5
⇒ 0 - p = -2.5
⇒ p = 2.5
The focus is (h, k + p)
⇒ (0, 0 +2.5)=(0, 2.5)
Thus substituting the values into the base equation,
Hence the equation of the parabola is: