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The equation of a parabola is y=x2+4x−2y = x^2 + 4x - 2. 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+4x−2y = x^2 + 4x - 2. 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+4x+4)−4−2(x^2 + 4x + 4) - 4 - 2
  2. Factor trinomial: Factor the perfect square trinomial. \newline(x+2)2−4−2(x + 2)^2 - 4 - 2
  3. Combine constants: Combine the constants.\newline(x+2)2−6(x + 2)^2 - 6

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