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Nonlinear Functions

SAT Math· difficulty 4/5

The graph of f(x)=x2f(x) = x^2 is transformed to g(x)=(1/2)(x+3)2−1g(x) = (1/2)(x+3)^2 - 1. Describe the change.

  • A

    Vertical stretch by 2, shift right 3, up 1

  • B

    Vertical compression by 1/2, shift right 3, down 1

  • C

    Vertical stretch by 1/2, shift left 3, up 1

  • D

    Vertical compression by 1/2, shift left 3, down 1

    check_circle

Explanation

a=1/2a = 1/2 compresses vertically; h=−3h = -3 shifts left; k=−1k = -1 shifts down.

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