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The equation of a parabola is y=x2−6x+3y = x^2 - 6x + 3. 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=x2−6x+3y = x^2 - 6x + 3. 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(x2−6x+(62)2)−(62)2+3(x^2 - 6x + (\frac{6}{2})^2) - (\frac{6}{2})^2 + 3
  2. Calculate squared term: Calculate (62)2(\frac{6}{2})^2 which is 99.(x2−6x+9)−9+3(x^2 - 6x + 9) - 9 + 3
  3. Rewrite and simplify: Rewrite the equation with the completed square and simplify.\newliney=(x−3)2−6y = (x - 3)^2 - 6

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