Question

For the function G(x) = 3^x-3 -2 , describe the asymptote. Tell how the graph is transformed from the graph of f(x) = 3^x?????

Answer 1

@mathstudent55

Answer 2

who is that?

Answer 3

Is the exponent x - 3?

Answer 4

Is the function

\( \large g(x) = 3^{x - 3} - 2\)

Answer 5

yes!!!

Answer 6

Ok. Let's look at the general function

\(f(x) = 3^x\)

Answer 7

Think of x = 0, then 3^x = 3^0 = 1

Answer 8

As the exponents become negative, for example, -1, then 3^x = 3^(-1) = 1/3
Now think of smaller and smaller negative numbers, x = -2, -3, -4, -10, -1000
3^(-2) = 1/(3^2) = 1/9
3^(-3) = 1/(3^3) = 1/27
As x becomes a smaller and smaller negative number, y gets closer and closer to zero.