The vertex form of the equation of a parabola is y = (x + 3)2 + 53. what is the standard form of the equation? a. y = x2 + 53x + 42 b. y = x2 + 6x + 62 c. y = x2 + 3x + 53 d. y = 6x2 + 9x+ 62

Y = (x + 3)² + 53
y = (x + 3)(x + 3) + 53
y = (x(x + 3) + 3(x + 3)) + 53
y = (x(x) + x(3) + 3(x) + 3(3)) + 53
y = (x² + 3x + 3x + 9) + 53
y = (x² + 6x + 9) + 53
y = x² + 6x + 9 + 53
y = x² + 6x + 62

The answer is B.

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