Can someone explain step by step how to find the equation of a parabola
Stacey Warren - Expert brainly.com
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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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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?