Can someone explain step by step how to find the equation of a parabola

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Can someone explain step by step how to find the equation of a parabola

Mathematics
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What information are you given?
They gave me 2 points, (-4, 0) and (2, 0)
you cant find the equation of a parabola from 2 points, unless those two points mean something like vertex, and focus

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Other answers:

Whats a focus?
y^2 = 4ax if the focus is at (2,0) and the vertex at (-4,0) we get: y^2 = 4ax a = distance between F and V which here equals 6 y^2 = 4(6)x y^2 = 24x you vertex aint at 0, we moved it +4 to get there so: y^2 = 24(x+4)
a focus is the point inside the curve of a parabola that is the same distance from the vertex as the vertex is from the directix
do you know what kind of an equation you are looking for?
y^2 = 4ax OR ax^2 +bx + c ????

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