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

QUESTION POSTED AT 01/06/2020 - 04:25 PM

Answered by admin AT 01/06/2020 - 04:25 PM

\text{We have been given that the function is} f(x)=2^x\\\\\text{We have transformation function as} f(x)=3(2)^{-x}+2\\

Below are the transformation, we can do to get the translated graph.

  • When we add 2 to the function, it shifts the graph up by 2 units
  • When x is replaced by -x, then it reflected the graph about y-axis.
  • 3 is multiplied with the function, it means it stretches the parent function vertically by 3 units.

Therefore, d is the correct option.

(d) Reflect across the y-axis, stretch the graph vertically by a factor of 3, shift 2 units up

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