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The equation of a parabola is y=x2−4x+8y = x^2 - 4x + 8. 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+8y = x^2 - 4x + 8. 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 xx-terms.(x2−4x+4)−4+8.(x^2 - 4x + 4) - 4 + 8.
  2. Factor and simplify: Factor the perfect square trinomial and simplify the constants.\newliney=(x−2)2+4y = (x - 2)^2 + 4.
  3. Convert to vertex form: The equation in vertex form is y=(x−2)2+4y = (x - 2)^2 + 4.

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