Making Predictions with Transformations Quick Check 4 of 54 of 5 Items Question Use the image to answer the question. Which quadrant will ΔLOW be in when it is reflected across the y-axis and then reflected across the x-axis? (1 point) Responses Quadrant II Quadrant II Quadrant I Quadrant I Quadrant IV Quadrant IV Quadrant III Quadrant III Skip to navigation page 8 of 8 Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.

To determine which quadrant ΔLOW will be in after undergoing two reflections—first across the y-axis and then across the x-axis—we can follow these steps:

1. **Reflect across the y-axis**:
- Reflecting a point (x, y) across the y-axis changes its coordinates to (-x, y). This means that the x-coordinate changes sign while the y-coordinate remains the same.
- This reflection can move the point from the right side of the y-axis (Quadrants I and IV) to the left side (Quadrants II and III).

2. **Reflect across the x-axis**:
- Reflecting a point (x, y) across the x-axis changes its coordinates to (x, -y). This means that the y-coordinate changes sign while the x-coordinate remains the same.
- This reflection moves the point from above the x-axis (Quadrants I and II) to below it (Quadrants III and IV).

Now, to find out the final position in the quadrants after both transformations:
- If ΔLOW started in Quadrant I, after reflecting across the y-axis, it would move to Quadrant II, and then reflecting across the x-axis would move it to Quadrant IV.
- If it started in Quadrant II, after reflecting across the y-axis, it would go to Quadrant I, and then reflecting across the x-axis would move it to Quadrant III.
- Similarly for other quadrants.

Without knowing the original quadrant of ΔLOW, let's consider an example:
- If we start in Quadrant I: I → II → IV
- If we start in Quadrant II: II → I → III
- If we start in Quadrant III: III → IV → II
- If we start in Quadrant IV: IV → III → I

By examining these transformations:
- The final possible locations based on the original quadrant yield different final quadrants.

To answer the question correctly, we need to know the original position of ΔLOW. However, regardless of the original quadrant:
- The reflection in the y-axis takes the object to the opposite side of the y-axis,
- The reflection in the x-axis then takes it below the x-axis.

Thus:
- If ΔLOW is in Quadrant I initially, it ends in Quadrant IV.
- If it is in Quadrant II initially, it ends in Quadrant III.
- If it is in Quadrant III initially, it ends in Quadrant II.
- If it is in Quadrant IV, it ends in Quadrant I.

The final independent coordinates from each quadrant transformation are distinctive now depending on the starting quadrant.

Hence, assuming you require the final outcome without more specific starting conditions, we conclude to the following possible option based on corresponding transformations:

The likely answer based on the transformation sequence is either Quadrant II, III, or IV, but generally tracked would move to **Quadrant IV**, thus leading with the response **Quadrant IV** often as a possible outcomes in the overall sequence depending on initial standard positioning if they transition sequentially from above then crossing vertical and pivoting downward respectively.