Translate −−4, 3 to the left 3 units.Then reflect the result over the x-axis.What are the coordinates of the final point?
Question
Translate −−4, 3 to the left 3 units.Then reflect the result over the x-axis.What are the coordinates of the final point?
Solution
Step 1: Translate −4, 3 to the left 3 units.
When we translate a point to the left, we subtract the number of units from the x-coordinate. So, we subtract 3 from -4.
-4 - 3 = -7
The y-coordinate remains the same because we are not moving the point up or down. So, the new point after the translation is (-7, 3).
Step 2: Reflect the result over the x-axis.
When we reflect a point over the x-axis, the x-coordinate stays the same and the y-coordinate changes its sign. So, the y-coordinate 3 becomes -3.
Therefore, the coordinates of the final point are (-7, -3).
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