Question

The graph of
`f(x) = (1)/(4) 3^(x) -6` is shown below. g(x) is a transformation of f(x). How would you write the equation for the function g(x)?

A.
`g(x) = (1)/(4)3^(x) +2`
B.
`g(x) = -(1)/(4)3^(x) -6`
C.
`g(x) = (1)/(3) *4^(x) +3`
D.
`g(x) = 3^(x) +2`

Answer 1

the answer would be like finding the point and then doing the math

after the math u will find you answer on the am going to say either C or D

Explanation:

Answer 2

A

Explanation:

If g(x) is a transformation of f(x), then we can consider function f(x) as parent function.

So, to get the graph of the function g(x), we have to translate the graph of the function f(x) 8 units up.

This translation will give us the function

`g(x)=f(x)+9\\ \\g(x)=(1)/(4)\cdot 3^x-6+8\\ \\g(x)=(1)/(4)\cdot 3^x+2`