Question

The graphs of f(x) = 10x and its translation, g(x), are shown.

Answer 1

Answer:

(x)=(10)^(x-3)

Step-by-step explanation:

Just did it on edge 2020 :) Hope i helped!!

Answer 2

Answer:

The equation for the function g(x) is:

$g(x)=(10)^{x-3}$

Step-by-step explanation:

We are given graphs of two functions f(x) and g(x).

The function f(x) is an exponential function and is given by:

$f(x)=(10)^x$

Now, we are asked to find the equation for the transformed function g(x).

We could see that the graph of the function g(x) passes through (3,1),(4,10) , (5,100) and so on.

This means that the equation or the expression for the function g(x) is given by:

$g(x)=(10)^{x-3}$

( Since, when x=3 we have:

$g(x)=(10)^{3-3}=10^0=1$

when x=4 we have:

$g(x)=(10)^{4-3}\\\\g(x)=(10)^{1}\\\\g(x)=10$

and so on)