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Mathematics, 19.04.2021 22:40 dollaass17

Leo transformed the equation y = 4(x βˆ’ 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 βˆ’ 1)2 + 3
y = 4(x2 βˆ’ 2x + 1) + 3
y = 4x2 βˆ’ 8x + 1 + 3
y = 2x2 βˆ’ 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 βˆ’ 1)2 is x2 βˆ’ 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 βˆ’ 2x + 1 is 4x2 βˆ’ 8x + 4.

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Leo transformed the equation y = 4(x βˆ’ 1)2 + 3 from vertex form to standard form. His steps are show...
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