Question
Match each transformation with the correct description.(6 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
y=k⋅f(x)
y=f(x)+k
y=−f(x)
y=f(−x)
y=f(x+k)
y=f(k⋅x)
Reflection across the x-axis
Horizontal shift
Vertical stretch/compression
Vertical shift
Horizontal stretch/compression
Reflection across the y-axis
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
y=k⋅f(x)
y=f(x)+k
y=−f(x)
y=f(−x)
y=f(x+k)
y=f(k⋅x)
Reflection across the x-axis
Horizontal shift
Vertical stretch/compression
Vertical shift
Horizontal stretch/compression
Reflection across the y-axis
Answers
GPT-4o mini
Here are the transformations matched with their correct descriptions:
1. **y = k ⋅ f(x)** - **Vertical stretch/compression**
2. **y = f(x) + k** - **Vertical shift**
3. **y = −f(x)** - **Reflection across the x-axis**
4. **y = f(−x)** - **Reflection across the y-axis**
5. **y = f(x + k)** - **Horizontal shift**
6. **y = f(k ⋅ x)** - **Horizontal stretch/compression**
Feel free to let me know if you need further assistance!
1. **y = k ⋅ f(x)** - **Vertical stretch/compression**
2. **y = f(x) + k** - **Vertical shift**
3. **y = −f(x)** - **Reflection across the x-axis**
4. **y = f(−x)** - **Reflection across the y-axis**
5. **y = f(x + k)** - **Horizontal shift**
6. **y = f(k ⋅ x)** - **Horizontal stretch/compression**
Feel free to let me know if you need further assistance!