The equation of the parabola that has vertex at the center and focus at the point (6,0) is x = y²/24
We define what a parabola is
What is a parabola?
The parabola is a geometric shape that is formed from the intersection of a vertical plane in a cone.
The canonical equation of a parabola is given by
(y - k)² = 4p(x - h)
The parabola is a quadratic function, it is composed of a vertex, or inflection point, a focus and a directrix.
Since the vertex and the focal axis are on the same axis, we analyze that:
v (0, 0)
f (6, 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 = 6
p = 0 + 6
p= 6
(y - 0)² = 4*6(x - 0)
(Y)² = 24(X)
x = y²/24
Learn more about parabolas in:
brainly.com/question/11780596
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