Question

The graph of g(x) shown below resembles the graph of f(x) 2^x, but it has been reflected over the x-axis. Which is the equation of g(x)?

Answer 1

C.
`g(x)=2^(x)+1`

Explanation:

We know that the parent function is
`y=2^(x)`.

Now, the function that the graph shows intercepts
`y=-1`, and the problem states that is the reflection of
`g(x)` across the x-axis. That means the original function has to intercept
`y=1`, which is the reflected interception of
`y=-1`.

We also know that y-interceptions are shown as independent terms, so the function
`g(x)` is defined as follows

`g(x)=2^(x)+1`

Where
`+1` represent the y-interception.

The graph of
`g(x)` is attached. The red curve represents
`g(x)` and the blue curve represents
`f(x)`. You can observe that models exactly the function we are looking for.