To describe the transformation from Function A to Function B accurately, we need to identify how Function A (solid line) is altered to obtain Function B (dotted line) on the coordinate plane.
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Reflection over the y-axis: This indicates that if Function A had a point at (x, y), after reflection, that point would be at (-x, y).
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Translation: After this reflection, we check if the line has been shifted up or down.
Without the actual image, I can provide you with a general approach for determining the translation:
- If the solid line (Function A) is higher than the dotted line (Function B) after reflecting over the y-axis, then it is a downward shift.
- If the solid line is lower than the dotted line, then it is an upward shift.
Assuming you have identified the correct option for the direction of the translation (either up or down), you also need to determine the number of units the function was translated.
If you notice that after reflecting Function A over the y-axis it has moved to a new position, you would count the number of units either up or down to find out how far it has been translated.
For example:
- If the reflection resulted in Function A being at y=3 and then it was translated to y=1, this indicates a downward shift of 2 units.
- Conversely, if it moved from y=-2 to y=2, this indicates an upward shift of 4 units.
To complete your answer, select the appropriate option (1 for down, 2 for up) and enter the corresponding number of units for translation.
So the final answer would be:
Option: [1 or 2]
The function is reflected over the y-axis and then shifted by [number of units] units.
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