Question

et f(x)=6(2)x−1+4. The graph of f(x) is translated 7 units to the left to form the graph of g(x). Enter the equation for g(x) in the box.

Answer 1

`g(x) = 6(2)^(x -8)+ 4`

Explanation:

Given

`f(x) = 6(2)^(x - 1)+ 4`

Required

Find g(x)

From the question, f(x) is translated 7 units left;

The rule of translation is:
`(x,y) \to (x-7,y)`

So, we have:

`g(x) = f(x - 7)`

`g(x) = 6(2)^(x -7- 1)+ 4`

`g(x) = 6(2)^(x -8)+ 4`