The graph of is transformed to obtain a new graph that is reflected in the x-axis and…

MATHEMATICS · Single correct · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

The graph of y=2xy=2^{x} is transformed to obtain a new graph that is reflected in the x-axis and then shifted 2 units to the left. Which of the following equations represents the new graph? (a) −(2x−2)-(2^{x-2}) (b) −(2x+2)-(2^{x+2}) (c) 2−(x+2)2^{-(x+2)} (d) −(2x)−2-(2^{x})-2

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