Question

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

a- f(x) = ((5) -*
b- fof(x) = 5(3)*
c- f(x) = 5(5)
d- f(x) = 5(5)

Answer 1

To reflect the function f(x) = 5x over the y-axis, you replace x with -x. The reflected function is f(x) = -5x, which mirrors the original graph across the y-axis.

Step-by-step explanation:

To reflect a function f(x) over the y-axis, you replace x with -x in the function's equation. This results in the new function, often noted as f(-x), which will have the same y-values as the original function, but for the opposite x-values. If the original function is f(x) = 5x, the reflected function will be f(x) = 5(-x) or f(x) = -5x. This transformation will create a mirror image of the original graph across the y-axis, effectively flipping it horizontally.