What is point C after a translation of 4 units left and 3 units down followed by a reflection over the y-axis
To find the new coordinates of point C after the given transformations, we will first perform the translation, and then the reflection over the y-axis.
Translation: 4 units left and 3 units down
Let the coordinates of point C be (x, y). After the translation, the new coordinates will be (x - 4, y - 3).
Reflection over the y-axis
To reflect a point over the y-axis, we reverse the sign of its x-coordinate. So the new coordinates of point C after the reflection will be (-x + 4, y - 3).
Therefore, point C after the translation of 4 units left and 3 units down followed by a reflection over the y-axis will have coordinates (-x + 4, y - 3).