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Nonlinear Functions

SAT Math· difficulty 4/5

What transformation does the factor −12-\frac{1}{2} in y=−12f(x)y = -\frac{1}{2} f(x) apply to the graph of y=f(x)y = f(x)?

  • A

    Vertical stretch by 2 and reflect over xx-axis

  • B

    Horizontal compression by 2 and reflect

  • C

    Vertical compression by 2 and reflect over xx-axis

    check_circle
  • D

    Reflect over yy-axis only

Explanation

The factor −12-\frac{1}{2} reflects over the xx-axis (negative sign) and compresses vertically by 2 (factor 12\frac{1}{2}).

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