Question

The graph of g(x) is a transformation of the graph of f(x)=3x .

Enter the equation for g(x) in the box

Answer 1

Answer:
`g(x)=3^x+2`

Explanation:

The function
`f(x)=3^x` is an exponential function of base 3.

This function has the point of intersection with the y-axis at
`y=1`.

And in the point
`x=1` the value of the function is 3.

In the grph you can observe an exponential function that cuts the y-axis at the point
`y=3` and when
`x=1`, then
`g(x)=5`.

Therefore, the function g(x) is the function f(x) shifted two units up.

Then, the transfomration for f(x) is:

`g(x)=f(x)+2`

Therefore, the equation g(x) is:

`g(x)=3^x+2`