<u><em>Answer:</em></u>
(-6,-6)
<u><em>Explanation:</em></u>
The xy coordinate grid is shown in the attached image.
<u>As we can see:</u>
1- moving down the the y-axis means that we are moving towards the negative direction. This means that we will subtract the translated units from the original y-value to get the y-value of the image
We are given that the point was translated 8 units down and that the original y-coordinate was 2.
<u>This means that:</u>
y-coordinate of image = y-coordinate of original point - translated units
y-coordinate of image = 2 - 8
y-coordinate of image = -6
2- moving to the right of the x-axis means that we are moving towards the positive direction.This means that we will add the translated units to the original x-value to get the x-value of the image.
We are given that the point was translated 3 units to the right and that the original x-coordinate was -9.
<u>This means that:</u>
x-coordinate of image = x-coordinate of original point + translated units
x-coordinate of image = -9 + 3
x-coordinate of image = -6
<u>Based on the above, the coordinates of the image are (-6,-6)</u>
Hope this helps :)
(-6,-6)
<u><em>Explanation:</em></u>
The xy coordinate grid is shown in the attached image.
<u>As we can see:</u>
1- moving down the the y-axis means that we are moving towards the negative direction. This means that we will subtract the translated units from the original y-value to get the y-value of the image
We are given that the point was translated 8 units down and that the original y-coordinate was 2.
<u>This means that:</u>
y-coordinate of image = y-coordinate of original point - translated units
y-coordinate of image = 2 - 8
y-coordinate of image = -6
2- moving to the right of the x-axis means that we are moving towards the positive direction.This means that we will add the translated units to the original x-value to get the x-value of the image.
We are given that the point was translated 3 units to the right and that the original x-coordinate was -9.
<u>This means that:</u>
x-coordinate of image = x-coordinate of original point + translated units
x-coordinate of image = -9 + 3
x-coordinate of image = -6
<u>Based on the above, the coordinates of the image are (-6,-6)</u>
Hope this helps :)