Question

Write the function rule for the function shown below reflected in the given axis.
​f(x)​x; ​-axis
Let​ g(x) be the reflection of​ f(x) in the ​-axis. What is the function rule for​ g(x)?

Answer 1

The function rule for g(x) can be found by reflecting f(x) in the -axis. The reflection in the -axis essentially flips the function upside down.

So if f(x) = x, then g(x) would be the function where every y-coordinate is the negative of f(x).

Thus, the function rule for g(x) would be g(x) = -x.