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Who has a super difficult math problem?
1) If the quadratic function y=x2-2x+3 is formulated in the form of y=(x-h)2+k, then y = _ _ _ _ _

2) Please write a * * property of the functions y=(x+ 1)2 and y = x2+1_ _ _.

3) Given that the symmetry axis of parabola y=ax2+bx+c is x=2, and it passes through point (1, 4) and point (5,0), the analytical formula of parabola is _ _ _ _ _ _ _ _.

4) It is known that the image of quadratic function opens downward and intersects with the positive semi-axis of Y axis. Please write the analytical formula of quadratic function that meets the conditions: _ _ _ _ _ _ _.

5) Given that the abscissa of the intersection of parabola y=ax2+x+c and X axis is-1, then A+C = _ _ _ _.