Question

Let f(x) = 5^x let g(x) = 5^x-7 which statement describes the graph of g(x) with respect to graph of f(x)

Answer 1

Answer: 1.
`g(x)` is translated 7 units down from
`f(x)`

Explanation:

The missing statements are:

1.
`g(x)` is translated 7 units down from
`f(x)`

2.
`g(x)` is translated 7 units left from
`f(x)`

3.
`g(x)` is translated 7 units up from
`f(x)`

4.
`g(x)` is translated 7 units right from
`f(x)`

Below are shown some transformations for a function
`f(x)`:

If
`f(x)+k`, the function is shifted up "k" units.

If
`f(x)-k`, the function is shifted down "k" units.

If
`f(x+k)`, the function is shifted left "k" units.

If
`f(x-k)`, the function is shifted right "k" units.

Then, in this case, given the function
`f(x)`:

`f(x) = 5^x`

And given the function
`g(x)`:

`g(x) = 5^x-7`

You can identify the transformation:

`f(x)-k`

Therefore, based on the transformations explained before, you can conclude that the graph of the function
`g(x)` is translated 7 units down from the graph of the function
`f(x)`.