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Linear Functions

SAT Math· difficulty 5/5

The graph of y=f(x)y = f(x) is a line with slope 33 passing through (0,−2)(0, -2). The graph of y=f(x−2)+5y = f(x - 2) + 5 has y-intercept equal to which of the following?

  • A

    −13-13

  • B

    13

  • C

    3

  • D

    −3-3

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Explanation

f(x)=3x−2f(x) = 3x - 2. f(x−2)+5=3(x−2)−2+5=3x−3f(x - 2) + 5 = 3(x - 2) - 2 + 5 = 3x - 3. Y-intercept is −3-3.

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