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

if u have a point (x,y), the reflection in the x-axis transforms it into (x,-y)

Answer 2

since u have y=f(x)=3x+2

Answer 3

then (x,y)=(x,f(x))=(x,3x+2) transforms into
\[ \large (x,-y)=(x,-f(x))=(x,g(x)) \]

Answer 4

so g(x)=-f(x)

Answer 5

so its either b or c?

Answer 6

\[ \large g(x)=-f(x)=-(3x+2) \]