Question

The graph of ....is shown below. G(x) is a transformation of f(x). How would you write the equation for the function g(x)? PLEASE HELP ASAP!!!

Answer 1

It's B because the overall slope isn't changing, just the y value is changing.

Answer 2

The correct option is B.

Explanation:

The given function is

`f(x)=(1)/(4)3^x-6`

From the given graph it is clear that the graph of f(x) shifts approximately 8 units up. It means the transformation is defined as

`g(x)=f(x)+b`

Where b is vertical shift of the function.

If b>0, then graph of f(x) shifts b units up and if b<0, then graph of f(x) shifts b units down.

The value of b is 8.

`g(x)=f(x)+8`

`g(x)=(1)/(4)3^x-6+8`

`g(x)=(1)/(4)3^x+2`

Therefore the correct option is B.