Y=X^2-2x-7
Find the x and y intercepts
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x^2-2x-3 = 0
(x-3)(x+1) = 0
x = -1, 3
-b/2a = 2/2 = 1
so the line x=1 is the axis of symmetry.
Note that it is midway between the x-intercepts
This is the vertex form of the equation.
Oops. It should be y = (x-1)^2 - 4
You can just read off the vertex.
It is at (1,-4)
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