Question
A coordinate plane's axes range from negative 5 to 5, both by 1-unit increments. 2 functions are plotted, 1 solid and 1 dotted. The solid function is labeled 'Function upper A' and the dotted function is labeled 'Function upper B.'
Describe the transformations from Function A to Function B .
(1 point)
Responses
wider and shifted left 2 units
wider and shifted left 2 units
wider and shifted right 2 units
wider and shifted right 2 units
narrower and shifted right 2 units
narrower and shifted right 2 units
narrower and shifted left 2 units
narrower and shifted left 2 units
Describe the transformations from Function A to Function B .
(1 point)
Responses
wider and shifted left 2 units
wider and shifted left 2 units
wider and shifted right 2 units
wider and shifted right 2 units
narrower and shifted right 2 units
narrower and shifted right 2 units
narrower and shifted left 2 units
narrower and shifted left 2 units
Answers
GPT-4o mini
To accurately describe the transformations from Function A to Function B, we need to consider the specific changes in both the shape (narrower or wider) and the position (shifted left or right).
1. **Wider or Narrower**: If Function B appears to be spread out more horizontally compared to Function A, it would be considered "wider." Conversely, if Function B appears to be more vertical and closer together than Function A, it would be "narrower."
2. **Shifts**: If the entire function has moved to the left along the x-axis, it would be described as "shifted left." If it has moved to the right, it would be "shifted right."
Given these definitions, you would need to analyze the graphs of Functions A and B to accurately determine their transformations. If Function B is indeed wider and has shifted left by 2 units compared to Function A, the first option would be correct. On the other hand, if it’s narrower and shifted right, the third option would be correct, and so on.
To provide the correct response, you would need to make these observations based solely on the visual information of the graphs.
For any option:
- If "wider and shifted left 2 units" describes the transformation from Function A to Function B accurately based on what you see, that’s the answer.
- Similar for the other options based on your observations of Functions A and B's shapes and positions.
Please examine the graphs to select the appropriate transformation.
1. **Wider or Narrower**: If Function B appears to be spread out more horizontally compared to Function A, it would be considered "wider." Conversely, if Function B appears to be more vertical and closer together than Function A, it would be "narrower."
2. **Shifts**: If the entire function has moved to the left along the x-axis, it would be described as "shifted left." If it has moved to the right, it would be "shifted right."
Given these definitions, you would need to analyze the graphs of Functions A and B to accurately determine their transformations. If Function B is indeed wider and has shifted left by 2 units compared to Function A, the first option would be correct. On the other hand, if it’s narrower and shifted right, the third option would be correct, and so on.
To provide the correct response, you would need to make these observations based solely on the visual information of the graphs.
For any option:
- If "wider and shifted left 2 units" describes the transformation from Function A to Function B accurately based on what you see, that’s the answer.
- Similar for the other options based on your observations of Functions A and B's shapes and positions.
Please examine the graphs to select the appropriate transformation.