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The equation of a parabola is y=x2+8x+23y = x^2 + 8x + 23. 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+23y = x^2 + 8x + 23. 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 quadratic term and the linear term.\newlineDivide the coefficient of xx by 22 and square it: (8/2)2=42=16(8/2)^2 = 4^2 = 16.\newlineAdd and subtract this number inside the equation.\newliney=x2+8x+16+23−16y = x^2 + 8x + 16 + 23 - 16
  2. Divide and square coefficient: Rewrite the equation grouping the perfect square trinomial and combining the constants.\newliney=(x2+8x+16)+(23−16)y = (x^2 + 8x + 16) + (23 - 16)\newliney=(x+4)2+7y = (x + 4)^2 + 7

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