Question

How does the graph of f(x)=-3^2x-4 differ from the graph of g(x)=-3^2x

Answer 1

C. The graph of f(x) is shifted four units down from the graph of g(x).

Explanation:

Answer 2

f(x) is shifted 4 units down from the graph g(x).

Explanation:

Given :
`f(x)=-3^(2x)-4`

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

To Find: How does the graph of
`f(x)=-3^(2x)-4` differ from the graph of
`g(x)=-3^(2x)`?

Solution:

Rule : f(x)→f(x)-b

So, The graph f(x) is shifted down by b units

`f(x)=-3^(2x)-4`

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

On comparing we can say g(x) needs to shift 4 units down to reach f(x)

Using Rule we can say that f(x) is shifted 4 units down from the graph g(x).

So, Option C is correct.

f(x) is shifted 4 units down from the graph g(x).