woodchuck39 woodchuck39

19-04-2021
Mathematics

contestada

The vertex form of the equation of a parabola is a y = (x+ 3)^2+53.
What is the standard form of the equation?

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rubymezerkor2004 rubymezerkor2004

19-04-2021

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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