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A reflection over the y-axis, then a translation 2 units to the left.

a. (-6, -5)
b. (-8, -5)
c. (-10, -5)
d. (-12, -5)

User Ntwrkguru
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8.2k points

1 Answer

7 votes

Final answer:

The initial point (-6, -5) is first reflected over the y-axis to become (6, -5) and then translated 2 units to the left, resulting in the point (4, -5).

Step-by-step explanation:

The student's question involves a two-step transformation of a point in the coordinate system: first, a reflection over the y-axis, and then a translation 2 units to the left. For the initial given point, we need to perform these two operations successively to determine the new location of the point.

Step 1: Reflection Over the Y-Axis

When a point is reflected over the y-axis, the x-coordinate of the point changes its sign. The y-coordinate remains unchanged. Therefore, reflecting the point (-6, -5) over the y-axis, we would get the point (6, -5).

Step 2: Translation 2 Units to the Left

Translating a point 2 units to the left implies subtracting 2 from the x-coordinate of the point. After the reflection, the point is at (6, -5). Subtracting 2 from the x-coordinate, we get to the new point (4, -5).

Thus, the correct answer after performing the two transformations on point (-6, -5) is (4, -5).

User Ed Smith
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