Please help me to find the correct answer

Step-by-step explanation:

1) Your calculator can evaluate f(-5) for you. It will be ...

  f(-5) = (1/3)^(-5) -3 = 243 -3

  f(-5) = 240

So, a point on the graph is (-5, 240).

Other points on the graph will be (1, -8/3), (0, -2), (-1, 0), (-2, 6).

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2) The given function f(x) can be written as ...

  f(x) = (1/3)^x -3 = (3^-1)^x -3 = 3^-x -3

So, the transformed function is transformed by adding 1, changing the horizontal asymptote from -3 to -2. The whole graph is translated upward one unit. Each of the above-listed points will have 1 added to its y-value.

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step-by-step explanation: