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The equation of a parabola is y=x2−2x+9y = x^2 - 2x + 9. Write the equation in vertex form.\newlineWrite any numbers as integers or simplified proper or improper fractions.\newline______

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Full solution

Q. The equation of a parabola is y=x2−2x+9y = x^2 - 2x + 9. Write the equation in vertex form.\newlineWrite any numbers as integers or simplified proper or improper fractions.\newline______
  1. Complete the square: Complete the square for the x-terms.\newline(x2−2x+1)−1+9(x^2 - 2x + 1) - 1 + 9
  2. Factor and simplify: Factor the perfect square trinomial and simplify the constants. x−1x - 1^22 + 88
  3. Write in vertex form: Write the equation in vertex form.\newliney=(x−1)2+8y = (x - 1)^2 + 8

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