Asked by Gupgupblupblupzorpzorpflapflap
Which of the following is the vertex of y = - f(-x) if the original function
has a vertex of (-9, -8)?
has a vertex of (-9, -8)?
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To find the vertex of the function \( y = -f(-x) \) given that the original function \( f(x) \) has a vertex at \((-9, -8)\), we will follow two transformations.
1. **Reflecting across the y-axis**: The transformation \( f(-x) \) reflects the function across the y-axis. This means the x-coordinate of the vertex will change sign. The vertex \((-9, -8)\) will transform to \((9, -8)\).
2. **Reflecting across the x-axis**: The transformation \( -f(x) \) reflects the function across the x-axis. This means the y-coordinate of the vertex will change sign. The vertex \((9, -8)\) will transform to \((9, 8)\).
So, the vertex of \( y = -f(-x) \) is at the point \((9, 8)\).
1. **Reflecting across the y-axis**: The transformation \( f(-x) \) reflects the function across the y-axis. This means the x-coordinate of the vertex will change sign. The vertex \((-9, -8)\) will transform to \((9, -8)\).
2. **Reflecting across the x-axis**: The transformation \( -f(x) \) reflects the function across the x-axis. This means the y-coordinate of the vertex will change sign. The vertex \((9, -8)\) will transform to \((9, 8)\).
So, the vertex of \( y = -f(-x) \) is at the point \((9, 8)\).
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.