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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

The graph of fx 3 6 is shown below g is a transformation of fx How would you write the equation for the function gx 15 10 5 gx is 2015 16 fx 136 10 5 10 15 20 2 class=

Respuesta :

MrRoyal

Answer:

[tex]g(x) = \frac{1}{4}3^x +3[/tex]

Step-by-step explanation:

Given

[tex]f(x) =\frac{1}{4}3^x -6[/tex]

[tex]g(x) \to[/tex] translate f(x) 9 units up

Required

Find g(x)

The translation rule is:

[tex]g(x) \to f(x) + 9[/tex]

So, we have:

[tex]g(x) = f(x) + 10[/tex]

[tex]g(x) = \frac{1}{4}3^x - 6 + 9[/tex]

[tex]g(x) = \frac{1}{4}3^x +3[/tex]

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