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The equation of a parabola is y=x2−8x+11y = x^2 - 8x + 11. 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=x2−8x+11y = x^2 - 8x + 11. 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.(x2−8x+(82)2)−(82)2+11(x^2 - 8x + (\frac{8}{2})^2) - (\frac{8}{2})^2 + 11
  2. Calculate value: Calculate (8/2)2(8/2)^2.(8/2)2=42=16(8/2)^2 = 4^2 = 16
  3. Add and subtract: Add and subtract 1616 inside the equation.\newliney=(x2−8x+16)−16+11y = (x^2 - 8x + 16) - 16 + 11
  4. Combine like terms: Combine like terms.\newliney=(x−4)2−5y = (x - 4)^2 - 5

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