A circle is graphed on a coordinate grid, and then reflected across the y-axis. If the center of the original circle was located at (x,y), which ordered pair represents the center of the new circle after the transformation?

Question

isabella47847 isabella47847

23-04-2024
Mathematics

Answered

A circle is graphed on a coordinate grid, and then reflected across the y-axis. If the center of the original circle was located at (x,y), which ordered pair represents the center of the new circle after the transformation?

Answer :

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apexchris93 apexchris93 · Answer 1 · 2024-04-23T13:22:21-04:00

Answer:When a shape is reflected across the y-axis on a coordinate grid, the x-coordinate of each point is negated while the y-coordinate remains the same.

If the center of the original circle was located at (x, y), after the reflection across the y-axis, the x-coordinate becomes its opposite (-x), while the y-coordinate remains unchanged. Therefore, the new coordinates of the center of the circle would be (-x, y).

Step-by-step explanation: