Question

What is the equation of g(x)?
The graphs of f(x) = 5x and its translation, g(x), are
shown on the graph.
30 ly
25
12,25)
O g(x) = 5*-9
O g(x) = 5x-10
g(x) = 5x – 9
g(x) = 5x – 10
20-
х
15
(2, 15)
10-
(1,57
f(x) (01)
计
6 5 4 3 2 -15
2
(1,-5)
wo
g6x)
(0-9)
-15
20
-25
30 -

Answer 1

Answer:

the third option: g(x) = 5^x - 9

Step-by-step explanation:

identify the y-intercept, which is (0, -9)

find the option with: y = mx - 9

                                                 ↑ the y-intercpet

Answer 2

The equation that represents g(x) is $g(x) =5^x - 9$

The function f(x) is given as:

$f(x) =5^x$

From the graph, the function f(x) is shifted down by 9 units

The rule of this transformation is represented as:

$(x,y) \to (x,y-9)$

So, we have:

$g(x) =f(x) - 9$

Substitute $f(x) =5^x$

$g(x) =5^x - 9$

Hence, the equation that represents g(x) is $g(x) =5^x - 9$

Read more about function transformation at:

https://brainly.com/question/1548871