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Nonlinear Functions

SAT Math· difficulty 4/5

The graph of y=∣x∣y = |x| is shifted right 2, stretched vertically by 3, and shifted down 1. What is the equation?

  • A

    y=3∣x−2∣+1y = 3|x - 2| + 1

  • B

    y=3∣x−2∣−1y = 3|x - 2| - 1

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  • C

    y=3∣x+2∣−1y = 3|x + 2| - 1

  • D

    y=∣3(x−2)∣−1y = |3(x - 2)| - 1

Explanation

Right 2: ∣x−2∣|x - 2|. Vertical stretch 3: 3∣x−2∣3|x - 2|. Down 1: 3∣x−2∣−13|x - 2| - 1.

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