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Math  /  Algebra

QuestionWhich function transforms the graph of v=x2v=x^{2} so that it is first shifted down 2 units and is then reflected across the 1λ\frac{1}{\lambda}-axis? A. y=−x2+2y=-x^{2}+2 B. y=−x2−2y=-x^{2}-2 c. y=(−x)2+2y=(-x)^{2}+2 D. y=−(x+2)2y=-(x+2)^{2}

Studdy Solution
Simplify the expression v=−(x2−2) v = -(x^2 - 2) to get v=−x2+2 v = -x^2 + 2 .
The function that transforms the graph of v=x2 v = x^2 by shifting it down 2 units and reflecting it across the x-axis is:
y=−x2+2 \boxed{y = -x^2 + 2}

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