3) From elementary geometry we know that there is a unique straight line through any two points in a plane. Less well known is the fact that there is a unique parabola through any three non- collinear points in a plane. For each set points below, find a parabola with an equation of the form y = ax²+bx+c that passes through the given points. a) (0, 1), (-1, 4), and (2, 1)

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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3) From elementary geometry we know that there is a unique straight line through any two points in a
plane. Less well known is the fact that there is a unique parabola through any three non- collinear
points in a plane. For each set points below, find a parabola with an equation of the form y= ax2+bx+c
that passes through the given points.
a) (0, 1), (-1, 4), and (2, 1)
Transcribed Image Text:3) From elementary geometry we know that there is a unique straight line through any two points in a plane. Less well known is the fact that there is a unique parabola through any three non- collinear points in a plane. For each set points below, find a parabola with an equation of the form y= ax2+bx+c that passes through the given points. a) (0, 1), (-1, 4), and (2, 1)
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