Question

Let g(x) be the reflection of f(x) = 3x + 2 in the x-axis. What is a function rule for g(x)?
g(x) = 3x – 2
g(x) = –3x – 2
g(x) = 3x + 2
g(x) = –3x + 2

Answer 1

please explain this to me

Answer 2

reflect around the \(x\) axis, means what is up does down and what is down goes up
i.e. everything is the negative of what it was before
you can first write
\[g(x)=-(3x+2)\] and then distribute the minus sign to get your answer

Answer 3

-3x-2
So B g(x) = –3x – 2

Answer 4

that is what i get, yes
would you like to see a picture of it?

Answer 5

http://www.wolframalpha.com/input/?i=3x%2B2%2C-3x-2

Answer 6

Thanks!