The equation of the parabola that has vertex at (0,0 ) and focus (-1, 0) is
What is known as a parabola?
A parabola is a quadratic function that can move on any axis, it is composed of:
- vertex
- focal axis
- directrix
The equation that defines a parabola can be given by:
(x - h)² = 4p(y - k)
(y - k)² = 4p(x - h)
This will depend on its aperture
Since the vertex and the focal axis are on the same axis, we analyze that:
- v (0, 0)
- f (-1, 0) the focus is on the right so the parabola is of the form X = Y².
(y - 0)² = 4p(x - 0)
f = (0 + p, 0)
0 + p = -1
p = 0 - 1
p= -1
(y - 0)² = 4*-1(x - 0)
(Y)² = -1(X)
x = -y²
Learn more about parabolas in:
https://brainly.com/question/28586996
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