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

Answer:

The correct option is B.

Step-by-step explanation:

The given function is

$f(x)=\frac{1}{4}3^x-6$

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.

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

$g(x)=\frac{1}{4}3^x-6+8$

$g(x)=\frac{1}{4}3^x+2$

Therefore the correct option is B.