Question

Write the function rule for the function shown below reflected in the given axis.

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

g(x) =

Answer 1

Explanation:

so, f(x) = 3x

now, this is reflected around the x-axis.

points that were n units above the x-axis are now n units below the x-axis and vice versa.

so, the functional values start the same in their size, but their sign flips. for every point.

that means,

g(x) = -f(x) = -3x