Question
If g(x)=-f(x), Describe the transformation that results in g(x).(1 point)
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
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
Answers
GPT-4o mini
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**.
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**.
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