The graphs of f(x) = 5^x and its translation, g(x), are shown on the graph.
What is the equation of g(x)?
A)g(x) = 5^x - 9
B)g(x) = 5^x - 10
C)g(x) = 5^x – 9 D)g(x) = 5^x – 10

The equation of graph g(x) is

The given parameters are

Graph g(x)

From the graph:

The blue graph is translated down by 10 units to get the red graph.

So, we have:

Substitute

Hence, the equation of graph g(x) is

Read more about transformation at:

link

B)g(x) = 5^x - 10

Step-by-step explanation:

If you compare graphs f(x) and g(x) for a certain point, let's say point (2,25) and (2,15) you'll notice that y coordinate changed frim25 to 15 so this is 10 units down. This is vertical transformation 10 units down.

The same thing happens if you compare other given points.

21.4 i did it already for s1

step-by-step explanation: