Question

The graph of f(x) - 3* -6 is shown below. g() is a transformation of f(x).

How would you write the equation for the function g(x)?
15
10
5+
g(x)
is 2015 16
f(x) = 13*-6 -10
5
10
15 20 25
5
15+
O
A. g(x) - 3* +2
B. g(x) =
Ο Ο
2--13*-6
c. g(x)=13* +3
D. g(x)= - 4*+3
o

Answer 1

`g(x) = (1)/(4)3^x +3`

Explanation:

Given

`f(x) =(1)/(4)3^x -6`

`g(x) \to` translate f(x) 9 units up

Required

Find g(x)

The translation rule is:

`g(x) \to f(x) + 9`

So, we have:

`g(x) = f(x) + 10`

`g(x) = (1)/(4)3^x - 6 + 9`

`g(x) = (1)/(4)3^x +3`