Exponential Function:

What happens to the graph of the functions of the first and second graphs? (Describe in detail considering the differences in the functions of each of the graphs)

Exponential Function What happens to the graph of the functions of the first and second graphs Describe in detail considering the differences in the functions o class=

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Answer:

See below

Step-by-step explanation:

On the graphs we see transformations of exponential functions

Graphic 1 = Horizontal shift

  • f(x) = 2ˣ is the parent function
  • g(x) = 2ˣ⁺³ indicates shift to the left by 3 units
  • h(x) = 2ˣ⁻¹ indicates the shift to the right by 1 unit

Graphic 2 =Vertical shift

  • p(x) = (1/3)ˣ is the parent function
  • r(x) = (1/3)ˣ⁺³ indicates shift up by 3 units
  • q(x) = (1/3)ˣ⁻² indicates the shift down by 2 units

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