Question

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

Answer 1

I just took the test, the correct answer is .. g(x) = (1/7)^x - 4.

Answer 2

We want to find the equation of the graphed function, given that we know the parent function. We will see that the correct option is C.

g(x) = (1/7)^x - 4

So, we know that the parent function is:

f(x) = (1/7)^x

Notice that when we evaluate this in zero, we get the y-intercept:

f(0) = (1/7)^0 = 1.

While in the graph, the y-intercept is at y = -3

So it is 4 units below the y-intercept of the parent function, then the function was translated downwards 4 units.

This means that the graphed function is:

g(x) = f(x) - 4

g(x) = (1/7)^x - 4

So the correct option is C.

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