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Write the standard form of y=5(x-8)^(2)+4

Write the standard form of y=5(x−8)2+4y=5(x-8)^{2}+4

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Full solution

Q. Write the standard form of y=5(x−8)2+4y=5(x-8)^{2}+4
  1. Expand squared term: Expand the squared term in the equation.\newlineCalculation: (x−8)2=x2−16x+64(x - 8)^2 = x^2 - 16x + 64.\newliney = 5(x2−16x+64)+45(x^2 - 16x + 64) + 4.
  2. Distribute 55: Distribute the 55 across the terms inside the parentheses.\newlineCalculation: y=5x2−80x+320+4y = 5x^2 - 80x + 320 + 4.
  3. Combine like terms: Combine like terms.\newlineCalculation: y=5x2−80x+324y = 5x^2 - 80x + 324.

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