If g(x)=-f(x), Describe the transformation that results in g(x).(1 point)

Question

Responses

Reflection over the Y axis
Reflection over the Y axis

Reflection over the x-axis
Reflection over the x-axis

Translating the function 1 unit to the right
Translating the function 1 unit to the right

Translating the function 1 unit to the left

Answer 1

The transformation that results in \( g(x) = -f(x) \) is a reflection over the x-axis.

This is because multiplying the function \( f(x) \) by -1 inverts the output values, which reflects the graph of the function across the x-axis.

So, the correct response is: Reflection over the x-axis.