Nonlinear Functions

SAT Math· difficulty 4/5

The graph of y=f(x)y = f(x) has a yy-intercept of 5. What is the yy-intercept of y=f(x4)+2y = f(x - 4) + 2?

  • A

    Cannot be determined

  • B

    f(4)+2f(-4) + 2

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  • C

    5+2=75 + 2 = 7

  • D

    f(4)+2f(4) + 2

Explanation

Setting x=0x = 0: y=f(4)+2y = f(-4) + 2. We don't know f(4)f(-4) in general.

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