The coordinates of point a on a coordinate grid are (−2, −3). point a is reflected across the y-axis to obtain point b and across the x-axis to obtain point c. what are the coordinates of points b and c?

A reflection is a common type of transformation. To reflect a point across the x-axis, we consider this axis to be a mirror. On the other hand, if you want to reflect a point across the y-axis, you need to consider this axis to be a mirror. A coordinate grid is the rectangular coordinate system. Just as we can represent real numbers by points on a real number line, we can represent ordered pairs of real numbers by points in a plane called the rectangular coordinate system, or the Cartesian plane. So:

If you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate changes into its opposite. So, if we have a point , the reflection of this point across  the x-axis is the point . Finally, our point A changes into:

Point B:

If you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate changes into its opposite. So, if we have a point , the reflection of this point across  the y-axis is the point . Finally, our point A changes into:

Point C:

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step-by-step explanation:

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