Use the image to answer the question.

Question

A coordinate plane's x-axis ranges from negative 7 to 11 and its y-axis ranges from negative 4 to 6, both by 1-unit increments. 8 points are marked and plotted forming 2 quadrilaterals, 1 dotted and 1 solid.

Determine how many units quadrilateral ABCD has been shifted.

(1 point)
Quadrilateral ABCD has been shifted
units to the left and
units up.

Answer 1

To determine how many units quadrilateral ABCD has shifted, we would typically need the coordinates of the points before and after the shift. Since I cannot see or analyze the image directly, I can guide you on how to calculate the shift.

1. Identify Original Coordinates: If you have the original coordinates of quadrilateral ABCD, note them down.

2. Identify New Coordinates: Next, note the new coordinates of quadrilateral ABCD after the shift.

3. Calculate Shift:

   • Horizontal Shift: Subtract the x-coordinate of a point in the original position from the corresponding x-coordinate in the new position to find how many units it has shifted to the left or right. $$\text{Horizontal Shift}=\text{New X}-\text{Original X}$$

   If the result is negative, it means the shift is to the left. If positive, it is to the right.

   • Vertical Shift: Similarly, subtract the y-coordinate of a point in the original position from the corresponding y-coordinate in the new position to find how many units it has shifted up or down. $$\text{Vertical Shift}=\text{New Y}-\text{Original Y}$$

   If the result is negative, it means the shift is down. If positive, it is up.

4. Express the Result: Once you've calculated the shifts, you can fill in the blank in your statement.

Since I cannot see the image or coordinates, I suggest you follow this process with the specific coordinates you have.