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The point A(4, 6) is first reflected in ...

The point A(4, 6) is first reflected in the origin to point A'. Point A' is then reflected in the y-axis to point A".
Write down a single transformation that maps A onto A"

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To solve the problem, we will perform the transformations step by step. ### Step 1: Reflect Point A(4, 6) in the Origin When a point (x, y) is reflected in the origin, its coordinates change to (-x, -y). For point A(4, 6): - The reflection in the origin gives us: \[ A' = (-4, -6) \] ### Step 2: Reflect Point A'(-4, -6) in the Y-axis When a point (x, y) is reflected in the y-axis, its x-coordinate changes sign while the y-coordinate remains the same. For point A'(-4, -6): - The reflection in the y-axis gives us: \[ A'' = (4, -6) \] ### Final Result The point A(4, 6) is transformed to point A''(4, -6) after the two reflections. ### Single Transformation To express the transformation that maps A onto A'', we can describe it as: - A single transformation that maps A(4, 6) directly to A''(4, -6) is a reflection in the x-axis. Thus, the required single transformation is: \[ \text{Reflection in the x-axis} \] ---
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