Answer:
(3, 3)
Step-by-step explanation:
The translation moves the point to the right 8 units. The reflection over the x-axis changes the sign of the y-coordinate.
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<h3>translation</h3>
A translation vector adds its components to the x- and y-coordinates of the point being translated.
(x, y) ⇒ (x, y) +(8, 0) = (x +8, y) . . . . . translation by <8, 0>
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<h3>reflection</h3>
The line y=0 is the x-axis. The y-coordinate of a point is the distance of that point from the x-axis. Reflection in the x-axis changes the sign of the y-coordinate, moving the point to an equal distance on the other side of the x-axis.
(x, y) ⇒ (x, -y) . . . . . reflection in the x-axis
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<h3>composition of transformations</h3>
The net effect of both transformations is ...
(x, y) ⇒ (x +8, -y)
Then the translated and reflected point A will be ...
A(-5, -3) ⇒ A'(-5+8, -(-3)) = A'(3, 3) . . . . coordinates of the image point
