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

Answer:

$g(x) = 6(2)^{x -8}+ 4$

Step-by-step 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:

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

$g(x) = 6(2)^{x -7- 1}+ 4$

$g(x) = 6(2)^{x -8}+ 4$