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=f(x+k)
y=k⋅f(x)
y=f(−x)
y=f(k⋅x)
y=f(x)+k
y=−f(x)
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=f(x+k)
y=k⋅f(x)
y=f(−x)
y=f(k⋅x)
y=f(x)+k
y=−f(x)
Answers
GPT-4o mini
Here are the transformations matched with their correct descriptions:
1. **y = f(x + k)**: Horizontal shift to the left by k units.
2. **y = k ⋅ f(x)**: Vertical stretch or compression (if |k| > 1, stretch; if 0 < |k| < 1, compression).
3. **y = f(−x)**: Reflection across the y-axis.
4. **y = f(k ⋅ x)**: Horizontal stretch or compression (if |k| > 1, compression; if 0 < |k| < 1, stretch).
5. **y = f(x) + k**: Vertical shift upward by k units.
6. **y = -f(x)**: Reflection across the x-axis.
You can match them accordingly based on these descriptions.
1. **y = f(x + k)**: Horizontal shift to the left by k units.
2. **y = k ⋅ f(x)**: Vertical stretch or compression (if |k| > 1, stretch; if 0 < |k| < 1, compression).
3. **y = f(−x)**: Reflection across the y-axis.
4. **y = f(k ⋅ x)**: Horizontal stretch or compression (if |k| > 1, compression; if 0 < |k| < 1, stretch).
5. **y = f(x) + k**: Vertical shift upward by k units.
6. **y = -f(x)**: Reflection across the x-axis.
You can match them accordingly based on these descriptions.