Answer:
f(x) is shifted 4 units down from the graph g(x).
Step-by-step explanation:
Given : [tex]f(x)=-3^{2x}-4[/tex]
[tex]g(x)=-3^{2x}[/tex]
To Find: How does the graph of [tex]f(x)=-3^{2x}-4[/tex] differ from the graph of [tex]g(x)=-3^{2x}[/tex]?
Solution:
Rule : f(x)→f(x)-b
So, The graph f(x) is shifted down by b units
[tex]f(x)=-3^{2x}-4[/tex]
[tex]g(x)=-3^{2x}[/tex]
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).
