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

DIFFERENT QUESTION edge

Which could be the equation for the function shown in the graph?

C

Answer 2

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

Explanation:

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

The parent function is
`f(x) = ((1)/(7) )^(x)` ........ (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
`g(x) = ((1)/(7) )^(x) - 4` (Answer)