Mathematics, 16.04.2021 22:50 danaya111
Erik transformed the equation y = 2(x β 2)2 + 5 from vertex form to standard form. His steps are shown below. Is Erik's work correct? If not, identify and correct his error.
y = 2(x β 2)2 + 5
y = 2(x2 β 4x + 4) + 5
y = 2x2 β 8x + 8 + 5
y = 2x2 β 8x + 13
answer choices
No. The error is in the second line: the expanded form of (x β 2)2 is x2 β 4.
No. The error is in the third line: the product of 2 and x2 β 4x + 4 is 2x2 β 4x + 4.
No. The error is in the fourth line: the sum of 8 and 5 is 12.
Yes. Erik is correct in his transformation from vertex form to standard form.
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