It is known that there are two different points e (K + 3, - K2 + 1) and f (- k-1, - K2 + 1) on the parabola y = - x2 + BX + 4 It is known that there are two different points e (K + 3, - K2 + 1) and f (- k-1, - K2 + 1) on the parabola y = - x2 + BX + 4 (1) Find the analytical formula of parabola; (2) As shown in the figure, the parabola y = - X & # 178; + BX + 4 intersects with the positive half axis of X axis and Y axis at points a and B respectively, M is the midpoint of AB, PMQ rotates with m as the center on the same side of AB, and PMQ = 45 °, MP intersects with y axis at point C, MQ intersects with X axis at point D; (3) Under the condition of (2), when the values of M and N are, the edge of ∠ PMQ passes through the point F? | Math enthusiast | Mathematical art

It is known that there are two different points e (K + 3, - K2 + 1) and f (- k-1, - K2 + 1) on the parabola y = - x2 + BX + 4 It is known that there are two different points e (K + 3, - K2 + 1) and f (- k-1, - K2 + 1) on the parabola y = - x2 + BX + 4 (1) Find the analytical formula of parabola; (2) As shown in the figure, the parabola y = - X & # 178; + BX + 4 intersects with the positive half axis of X axis and Y axis at points a and B respectively, M is the midpoint of AB, PMQ rotates with m as the center on the same side of AB, and PMQ = 45 °, MP intersects with y axis at point C, MQ intersects with X axis at point D; (3) Under the condition of (2), when the values of M and N are, the edge of ∠ PMQ passes through the point F?

y=-x2+2x+4
(2) 1 + radical 5-m = (2-N) times (1 + radical 5) divided by (6-n)

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