Question

What are the coordinates of point (2,-3) after it is reflected over the x-axis

Answer 1

The answer would be (2,3) using the format (x,-y) for the reflection across the x axis

Answer 2

There are several transformations that can be carried out on a point. These transformations involve changing the coordinate of the original point to another, and they include reflections, dilation, translation, etc.

The coordinates after reflecting the point over the x-axis is: (2,3)

Given that:

$(x,y) = (2,-3)$

The rule of reflection across the x-axis is:

$(x,y) \to (x,-y)$

i.e. the y coordinate will be negated

So,

When (2,-3) is reflected; the transformation is:

$(2,-3) \to (2,-(-3))$

$(2,-3) \to (2,3)$

Hence, the new point after the reflection is: (2,3)

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