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A student studies the graph shown below and determines that the reflection of point A over the x-axis will result in a point at (6, 3). State whether or not the student is correct, and explain how the correct answer can be found or confirmed.

A student studies the graph shown below and determines that the reflection of point A over the xaxis will result in a point at 6 3 State whether or not the stud class=

Respuesta :

The rule for a reflection over the x -axis is

[tex](x,y)\rightarrow(x,-y)[/tex]

Given the coordinates of the point A to be

[tex]A\rightarrow(-6,3)[/tex]

Hence, the transformed image will be

[tex]A^{\prime}\rightarrow(-6,-(3))=(-6,-3)[/tex]

Therefore, the coordinates of the reflection of point A over the x-axis will result in a point

[tex](-6,-3)[/tex]

Hence, the student was wrong.

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