Let g(x) be the reflection of f(x)=3x+2 in the x-axis. What is a function rule for g(x)?
a. g(x)=3x-2
b. g(x)=-3x-2
c. g(x)=3x+2
d. g(x)=-3x+2
g(x) = -f(x) = ...
To find the function rule for the reflection of f(x) = 3x + 2 in the x-axis, you need to change the sign of the equation. This is because reflecting a function across the x-axis essentially flips its graph vertically.
In f(x) = 3x + 2, change the sign of the coefficient of x to get the reflection:
g(x) = -3x + 2.
Therefore, the correct option for the function rule of g(x) is d. g(x) = -3x + 2.