Question

Let 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

The equation of the translated function is:

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

How to get the equation of g(x)?

For a given function f(x), an horizontal shift of N units is written as:

g(x) = f(x + N)

• If N is positive, the shift is to the left.
• If N is negative, the shift is to the right.

Here we have:

$f(x) = 6*(2)^{x - 1} + 4$

If we apply a shift of 7 units to the left, then:

g(x) = f(x + 7).

Replacing the function f(x) we get:

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

If you want to learn more about translations:

https://brainly.com/question/24850937

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