Let f(x)=3^x

let g(x)(3^x-2 )+5

which two statements describe the graph of g(x) with respect to the graph of f(x)?

g(x) is translated 2 units right from f(x).

g(x) is translated 2 units left from f(x).

g(x) is translated 5 units down from f(x).

g(x) is translated 5 units up from f(x).

As your -2 is directly affecting the x with addition/subtraction, it is a translation horizontally. To find direction, change the sign, from negative to positive, making it go right. This means it will be translated 2 units to the right, fitting the first statement. For your +5, it is not directly affecting the x, making it a translation vertically. As it's positive, it goes up, making it a translation 5 units up, fitting statement 4. This makes your correct statements 1 and 4.

g(x) is translated 2 units right from f(x).

and

g(x) is translated 5 units up from f(x).

Step-by-step explanation:

This is the graph x=1