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.

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05