Graph the parabolas and find their points of intersection. Find an equation of the line through the points of intersection. y=x(squared) and y=4x-x(squared). How do you find the points of intersection algebraically, without a graphing calculator?
*The book says to set the equations equal to each other.
x(squared)=4x-x(squared)
*Then, you would bring everything to one side
2x(squared)-4x=0
*Factor out a 2x.
2x(x-2)=0
Now what? The two points of intersection are (0,0) and (2,4). How do you get that? I understand how to find the equation using point-slope form. Thanks in advance!
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