Which equation does the graph of the systems of equations solve?
It's a quadratic graph opening down and quadratic graph opening up. They intersect at (0,3) and (2,-5).
(a)x2 - 2x + 3 = 2x2 - 8x - 3
(b)x2 - 2x + 3 = 2x2 - 8x + 3
(c)-x2 - 2x + 3 = 2x2 - 8x - 3
(d)-x2 - 2x + 3 = 2x2 - 8x + 3

Question

Which equation does the graph of the systems of equations solve?  
It's a quadratic graph opening down and quadratic graph opening up. They intersect at (0,3) and (2,-5).   
(a)x2 - 2x + 3 = 2x2 - 8x - 3  
(b)x2 - 2x + 3 = 2x2 - 8x + 3  
(c)-x2 - 2x + 3 = 2x2 - 8x - 3  
(d)-x2 - 2x + 3 = 2x2 - 8x + 3

parthkohli · Answer

There are only so many ways to do this!  First, can you interpret what the intersection of two different quadratics really means?

anonymous · Answer

I have no clue...

parthkohli · Answer

Here is an example:
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Let's say that those are the graphs of two different equations.  If they intersect at a point, then it means that they have one point in common.  And what exactly does it mean to have one point in common?  We should ask ourselves what a point is.

A point is just a graphical representation of $x$ and the output $y$. 

So if two equations have one point in common, then it means that they will return the same value for the same $x$.  This means that if $f(x)$ and $p(x)$ are two functions and they intersect at some point, they will intersect at the point where $f(x) = p(x)$.  Does that make sense to you?