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

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.

Answer Link

MrRoyal MrRoyal · Answer 2 · 2021-11-30T12:19:40+01:00

The equation of graph g(x) is [tex]\mathbf{g(x) = 5^x-10}[/tex]

The given parameters are

[tex]\mathbf{f(x) = 5^x}[/tex]

Graph g(x)

From the graph:

g(x) represents the red graph
f(x) represents the blue graph

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

So, we have:

[tex]\mathbf{g(x) = f(x) -10}[/tex]

Substitute [tex]\mathbf{f(x) = 5^x}[/tex]

[tex]\mathbf{g(x) = 5^x-10}[/tex]

Hence, the equation of graph g(x) is [tex]\mathbf{g(x) = 5^x-10}[/tex]

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

Respuesta :

Otras preguntas

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