Question

I'm having trouble understanding my problem

Answer 1

1. (x, 3y)

2. (0, 3)

3. (1, 9)

4. (2, 27)

Step-by-step explanation:

Each reference point on f(x) has the form: (x, f(x))

If g(x) = f(x+1), then the reference points on g(x) will be:

(x, g(x)) = (x, f(x+1))

Where f(x+1) is equal to:

`\begin{gathered} f(x+1)=3^(x+1) \\ f(x+1)=3\cdot3^{x^{}} \\ f(x+1)=3f(x) \end{gathered}`

So, each reference point of on g(x) will be: (x, 3f(x) )

Therefore, the corresponding points on g(x) are:

f(x) g(x)

(x, y) -----> (x, 3y)

(0, 1) -----> (0, 3(1) ) = (0, 3)

(1, 3) -----> (1, 3(3) ) = (1, 9)

(2, 9) ----> (2, 3(9) ) = (2, 27)

Then, the answers are:

1. (x, 3y)

2. (0, 3)

3. (1, 9)

4. (2, 27)