AIR MATH

Math Question

Which of the following describes the transformation of \( g(x)=3(2)^{-x}+2 \) from the parent function \( f(x)=2^{x} \) ?
reflect across the \( x \)-axis, stretch the graph vertically by a factor of 3 , shift 2 units up
reflect across the \( y \)-axis, stretch the graph vertically by a factor of 2 , shift 3 units up
reflect across the \( x \)-axis, stretch the graph vertically by a factor of 2 , shift 3 units up
reflect across the \( y \)-axis, stretch the graph vertically by a factor of 3 , shift 2 units up

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