What is the equation of the function shown in the graph, given that the equation of the parent function is f(x)=(1/7)^x ?

a. g(x)=(1/7)^x−3

b. g(x)=(1/7)^x−2

c. g(x)=(1/7)^x−4

d. g(x)=(1/7)^x+3

Step-by-step explanation:

The graph of a function is shown in the diagram attached.

The parent function is ........ (1)

Now, from the equation of the parent function at x = 0, y = 1.

But in the graph, the curve intersects y-axis at point (0,-3) point.

So, there is a translation of the parent function (1) by [1 - ( - 3)] = 4 units vertically downward.

Therefore, the graphed function is (Answer)

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step-by-step explanation: