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write each equation in vertex form, algebra homework help

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1,)write each equation in vertex form. then indentify the vertex, axis of symmetry, and direction of opening, y=x^2+10x+27       y=-9x+54x-82.)find the exact solution to the solution to the system of equations. check answers algebraicallyy= x^2 – 6x + 1  y+2x=6
—————————————————————————————-2x^2 – 4x = y +1
  x + y = 1

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