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Nonlinear Functions

SAT Math· difficulty 4/5

The graph of y=x2y = x^2 is transformed so that its new vertex is at (−3,4)(-3, 4) and it opens downward (with the same width). Which equation represents the new graph?

  • A

    y=−(x−3)2+4y = -(x - 3)^2 + 4

  • B

    y=−(x+3)2−4y = -(x + 3)^2 - 4

  • C

    y=−(x+3)2+4y = -(x + 3)^2 + 4

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  • D

    y=(x+3)2+4y = (x + 3)^2 + 4

Explanation

Vertex at (−3,4)(-3, 4): y=a(x+3)2+4y = a(x + 3)^2 + 4. Opens down with same width: a=−1a = -1.

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