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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!!!

The graph of ....is shown below. G(x) is a transformation of f(x). How would you write-example-1

2 Answers

6 votes
It's B because the overall slope isn't changing, just the y value is changing.
User Synetech
by
8.7k points
5 votes

Answer:

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.

User AntoineB
by
8.1k points

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