consider a partial set of ordered values of the function f(x)=3^x

x -1,0,1,2,3
f(x) 1/3 ,1,3,9,27

given g(x)is the transformation of the graph f(X) and the following set shows a partial set of ordered values of g(X).
X -1,0,1,2,3
G(x) 4/3,2,4,10,28

DESCRIBE HOW f(X) IS Transformed to describe g(X).
the function f(x) would be translated left 1.
the function f(x) would be translated right 1
the function f(x)would be translated down 1.
the function would be translated up 1

it looks like ... g(x) = f(x) + 1

adding 1 to a function results in what kind of translation?

the function would be translated up 1?

yes

To describe how f(x) is transformed to become g(x), we can compare the corresponding values of x and their corresponding values of f(x) and g(x).

Looking at the values of x:
- For each value of x, there is no change. The values of x remain the same for both f(x) and g(x).

Now, let's compare the corresponding values of f(x) and g(x):
- For each corresponding value of x and f(x), we can observe that g(x) is obtained by adding a constant value to f(x).

Comparing the values:
- When x = -1, f(x) = 1/3 and g(x) = 4/3. So, to obtain g(x) from f(x), we add 1 to f(x).
- When x = 0, f(x) = 1 and g(x) = 2. Again, we add 1 to f(x) to obtain g(x).
- When x = 1, f(x) = 3 and g(x) = 4. Adding 1 to f(x) gives us g(x).
- When x = 2, f(x) = 9 and g(x) = 10. Once more, adding 1 to f(x) gives us g(x).
- When x = 3, f(x) = 27 and g(x) = 28. Adding 1 to f(x) gives us g(x).

Based on these comparisons, we can conclude that the transformation from f(x) to g(x) is by adding a constant value of 1 to each corresponding value of f(x). Therefore, the correct statement is: "the function f(x) would be translated up 1."