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Mathematics, 19.04.2021 22:40 dollaass17

Leo transformed the equation y = 4(x − 1)2 + 3 from vertex form to standard form. His steps are shown below. Is Leo's work correct? If not, identify and correct his error. y = 4(x − 1)2 + 3
y = 4(x2 − 2x + 1) + 3
y = 4x2 − 8x + 1 + 3
y = 2x2 − 8x + 4

No. The error is in the fourth line: the sum of 1 and 3 is 9.

No. The error is in the second line: the expanded form of (x − 1)2 is x2 − 1.

Yes. Leo is correct in his transformation from vertex form to standard form.

No. The error is in the third line: the product of 4 and x2 − 2x + 1 is 4x2 − 8x + 4.

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