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Answer y=-5(x-7)(x-6) y=5(x+7)(x+6) y=-5(x+7)(x+6)

Answer\newliney=−5(x−7)(x−6) y=-5(x-7)(x-6) \newliney=5(x+7)(x+6) y=5(x+7)(x+6) \newliney=−5(x+7)(x+6) y=-5(x+7)(x+6)

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Q. Answer\newliney=−5(x−7)(x−6) y=-5(x-7)(x-6) \newliney=5(x+7)(x+6) y=5(x+7)(x+6) \newliney=−5(x+7)(x+6) y=-5(x+7)(x+6)
  1. Substitute and Expand: Substitute x+7x + 7 and x+6x + 6 into the function y=−5(x+7)(x+6)y = -5(x + 7)(x + 6).\newliney=−5(x+7)(x+6)y = -5(x + 7)(x + 6)
  2. Combine Like Terms: Expand the binomials (x+7)(x + 7) and (x+6)(x + 6).\newliney = −5(x2+6x+7x+42)-5(x^2 + 6x + 7x + 42)
  3. Distribute: Combine like terms in the quadratic expression.\newliney=−5(x2+13x+42)y = -5(x^2 + 13x + 42)
  4. Distribute: Combine like terms in the quadratic expression.\newliney=−5(x2+13x+42)y = -5(x^2 + 13x + 42) Distribute the −5-5 across the terms in the parenthesis.\newliney=−5x2−65x−210y = -5x^2 - 65x - 210

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