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Nonlinear Functions

SAT Math· difficulty 4/5

A function gg has the same shape as f(x)=x2f(x) = x^2 but is shifted right 2 and up 1. Which equation defines gg?

  • A

    g(x)=(x−2)2−1g(x) = (x - 2)^2 - 1

  • B

    g(x)=(x−2)2+1g(x) = (x - 2)^2 + 1

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  • C

    g(x)=(x+2)2+1g(x) = (x + 2)^2 + 1

  • D

    g(x)=(x+2)2−1g(x) = (x + 2)^2 - 1

Explanation

Right 2: replace xx with x−2x - 2. Up 1: add 1. So g(x)=(x−2)2+1g(x) = (x - 2)^2 + 1.

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