Question

If you shift the function F(x) = log10 x right three units, what is the newfunction, G(x)?O A. G(x) = log, (x-3)O B. G(x) = log, (x+3)O C. G(x) = 109, *-3O D. G(x) = 109,X+3

Answer 1

Given the function:

`F\mleft(x\mright)=log_(10)x`

You need to remember that, according to the Transformation Rules for Functions:

1. If:

`f(x+h)`

The function is shifted left "h" units.

2. If:

`f(x-h)`

The function is shifted right "h" units.

In this case, you know that F(X) is shifted right three units to obtain the new function G(x), then the transformation has this form:

`F(x-3)`

Therefore, you can determine that:

`G(x)=\log _(10)\mleft(x-3\mright)`

Hence, the answer is: Option A.