Determine the equation of the horizontal asymptote of .

Answer and explanation

Correct answer: C.

  1. Step 1: The graph of approaches the x-axis () as .
  2. Step 2: Shifting vertically by -4 moves the asymptote to .
Answer
.
Why not the others: : the sign of q was reversed. : an exponential graph has a horizontal asymptote, not a vertical one. : this is the asymptote of the graph before it is shifted vertically.

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