Mathematics, 19.04.2021 22:40 dollaass17
Leo transformed the equation y = 4(x β 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 β 1)2 + 3
y = 4(x2 β 2x + 1) + 3
y = 4x2 β 8x + 1 + 3
y = 2x2 β 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 β 1)2 is x2 β 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 β 2x + 1 is 4x2 β 8x + 4.
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