The coordinates of U after the reflection are: (-5, -3)
How to get the coordinates after the reflection?
By looking at the graph, we can see that the coordinates of point U are:
U = (-1, -3)
And we want to reflect it across the line x = -3.
Notice that because this is a vertical line, the y-component does not change by the reflection. Only changes the x-component, such that the distance between the original coordinates and the final coordinates to the line don't change.
The original x-component is x = -1, the distance to the line is:
d = |-3 - (-1)| = 2 units.
Then the new x-component will also be at 2 units of the line, but in the other direction:
new x-component: x = -3 - 2 = -5
The coordinates of U after the reflection are:
(-5, -3)
If you want to learn more about reflections:
https://brainly.com/question/4289712
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