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The graphs of f(x) = 5* and its translation, g(x), are
shown on the graph.
30 1x
30 25 20 15 10 f
goxx)
40
f(x)
-6-5-4-3-2-15-
(1,5)
(0
(2,25)
(2, 15)
2 3 4 5
(1.-5)
-10-0.9)
-15-
-20
-25
30
X
What is the equation of g(x)?
Og(x) = 5x-9
Og(x) = 5x-10
Og(x) = 5-9
Og(x) = 5-10

The graphs of fx 5 and its translation gx are shown on the graph 30 1x 30 25 20 15 10 f goxx 40 fx 6543215 15 0 225 2 15 2 3 4 5 15 1009 15 20 25 30 X What is t class=

Respuesta :

facundo3141592

g(x) is just a translation of 10 units downwards, this means that the equation for g(x) is:

[tex]g(x) = f(x) - 10 = 5^x - 10[/tex]

Which is the equation of the translation?

Here we know that:

[tex]f(x) = 5^x[/tex]

And we want to find the equation for g(x), which is a translation of f(x).

If you look at the graph of f(x), you can see that it passes through:

(0, 1), (1, 5), (2, 25), etc.

And the graph of g(x) passes through:

(0, -9), (1, -5), (2, 15)

So in each point, the y-component is 10 units smaller than the correspondent for f(x).

Then g(x) is just a translation of 10 units downwards, this means that the equation for g(x) is:

[tex]g(x) = f(x) - 10 = 5^x - 10[/tex]

So the correct option is the last one.

If you want to learn more about translations:

https://brainly.com/question/24850937

#SPJ1

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