The vertex form of the equation of a parabola is y = (x-4)2 + 22. What is the standard form of the equation?
O A. y = x2 + x + 11
O B. y = x2 + 8x + 22
O c. y = 4x2 - 8x + 38
O D. y = x2 - 8x+ 38

D

Explanation:

The standard form of a quadratic function is

y = ax² + bx + c ( a ≠ 0 )

Given

y = (x - 4)² + 22 ← expand (x - 4)² using FOIL

  = x² - 8x + 16 + 22

  = x² - 8x + 38 → D

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