The equation that defines the parabola with vertex at the point and focus at (0,-5) is
y = 20x²
What is a parabola?
The parabola is a geometric shape that is formed from the intersection of a vertical plane in a cone.
The parabola is a quadratic function, it is composed of a vertex, or inflection point, a focus and a directrix.
In this case we have the vertex of the parabola at the point (0,0) and the focus at the point (0, -5) this is displaced on the y-axis upward, so the parabola is of the form.
y = x²
Canonical equation
(y - yo) = 4p(x - xo)
- Vertex (0, 0)
- xo, yo = (0 , 0)
Focus:
f = (0, 0 + p)
(y- 0) = 4*-5(x - 0)²
y = -20x²
Learn more about parabolas in:
https://brainly.com/question/11780596
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