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Nonlinear Functions

SAT Math· difficulty 5/5

The graph of y=f(x)y = f(x) has xx-intercept at x=6x = 6. What is the xx-intercept of y=f(x2)y = f\left(\frac{x}{2}\right)?

  • A

    x=8x = 8

  • B

    x=3x = 3

  • C

    x=6x = 6

  • D

    x=12x = 12

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Explanation

Horizontal stretch by factor 2: xx-intercept doubles. 6⋅2=126 \cdot 2 = 12.

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