Question

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.

Answer 1

The rule for a reflection over the x -axis is

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

Given the coordinates of the point A to be

$A\rightarrow(-6,3)$

Hence, the transformed image will be

$A^{\prime}\rightarrow(-6,-(3))=(-6,-3)$

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

$(-6,-3)$

Hence, the student was wrong.