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Answer:


Step-by-step explanation:

Reflections in the coordinate plane: Reflect over the x-axis: When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed).

The resultant reflection will lead (x,y) to become (-x,-y).

Given that:

  • Firstly, reflection across the x-axis happens.
  • Secondly, reflection across the y-axis happens.

Explanation of how reflection across axis works:

When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis as if we're seeing it in a mirror.

If you study it more, you will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.

Thus, if you're reflecting  a point (x,y) along x axis, then its x abscissa will stay same but y ordinates will negate. Thus (x,y) turns to (x, -y)

Similarly, if you're reflecting a point (x,y) along y axis, the resultant image of the point will be (-x,y)

Thus, applying above rules on point (x,y):

Firstly, reflecting across x axis, point (x,y) turns to (x, -y).

Secondly, reflecting (x,-y) across y-axis, point (x,-y) turns to (-x,-y).

Thus, the resultant image of the point (x,y) will be (-x,-y).

Learn more about reflection across axis here:

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