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

To visualise it, draw the line y=3x+2
You know for example that if x=2 y= 8 so the reflections gonna go through the same point but on the other side of the axis

Answer 2

http://www.wolframalpha.com/input/?i=y%3D3x+%2B+2%2C+y%3D-3x%2B2

Answer 3

so... g(x) = –3x – 2?

Answer 4

No, the y value will stay the same on the oppsite side, so it's g(x)= -3x+2

Answer 5

Think of the dot (2,8) if you want it's reclection the point on the other side is (-2,8) try to draw it and you'll get the idea

Answer 6

The vertical reflection of f(x) is -f(x)