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Nonlinear Functions

SAT Math· difficulty 2/5

The graph of y=f(x)y = f(x) is shifted 5 units to the left. Which equation represents the new graph?

  • A

    y=f(x−5)y = f(x - 5)

  • B

    y=f(x+5)y = f(x + 5)

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  • C

    y=f(x)+5y = f(x) + 5

  • D

    y=f(x)−5y = f(x) - 5

Explanation

A horizontal shift to the left by hh units replaces xx with x+hx + h: y=f(x+5)y = f(x + 5).

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