Question

What is the equation of g(x)?

The graphs of f(x) = 10xand its translation, g(x), are
shown What is the equation of g(x)?
g(x) = 10X-3
g(x) = 10x + 3
g(x) = 10x-3
g(x) = 10x+ 3

Answer 1

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

Explanation:

Notice that function
`g(x)` has the exat shape of function
`f(x)`, and it has just be translated to the right by 3 whole units.

Recall that horizontal translations to the right involve subtracting the number of units moved in the translation from the variable "x". therefore, in our case this means:

`f(x)=10^x\\g(x)=10^(x-3)`