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The equation of a parabola is y=x2+10x+26y = x^2 + 10x + 26. 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+10x+26y = x^2 + 10x + 26. 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 by finding (102)2(\frac{10}{2})^2.(102)2=52=25(\frac{10}{2})^2 = 5^2 = 25.
  2. Add and subtract 2525: Add and subtract 2525 inside the equation.\newliney=x2+10x+26y = x^2 + 10x + 26\newliney=x2+10x+25+26−25y = x^2 + 10x + 25 + 26 - 25
  3. Rewrite the equation: Rewrite the equation grouping the perfect square trinomial and combining constants.\newliney=(x2+10x+25)+26−25y = (x^2 + 10x + 25) + 26 - 25\newliney=(x+5)2+1y = (x + 5)^2 + 1

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