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The equation of a parabola is y=x2+2x+10y = x^2 + 2x + 10. Write the equation in vertex form.\newlineWrite any numbers as integers or simplified proper or improper fractions.\newline______

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Q. The equation of a parabola is y=x2+2x+10y = x^2 + 2x + 10. Write the equation in vertex form.\newlineWrite any numbers as integers or simplified proper or improper fractions.\newline______
  1. Identify Coefficient of xx: Identify the coefficient of xx to complete the square.\newlineCoefficient of xx is 22, so (2/2)2=1(2/2)^2 = 1.
  2. Add and Subtract 11: Add and subtract 11 inside the equation to complete the square.\newliney=x2+2x+1+10−1y = x^2 + 2x + 1 + 10 - 1
  3. Group and Combine Constants: Group the perfect square trinomial and combine the constants.\newliney=(x2+2x+1)+10−1y = (x^2 + 2x + 1) + 10 - 1\newliney=(x+1)2+9y = (x + 1)^2 + 9

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