Question

The function f(x) = 5One-fifth is reflected over the y-axis. Which equations represent the reflected function? Select two options.

f(x) = One-fifth
f(x) = One-fifthOne-fifthOne-fifth
f(x) = 5One-fifth
f(x) = 5(5)x
f(x) = 5(5)–x

Answer 1

Reflection across the y-axis replaces x by −x: f_reflected(x) = f(−x) = 5^{−x}. Since 5^{−x} = (1/5)^x, the two correct forms are

- f(x) = (1/5)^x
- f(x) = 5^{−x}