What are the coordinates of A'and B'when AB is reflected in the y-axis? Show your work or explainhow you got your answer.

Solution:
Given:
From the graph given, the coordinates of the points are;
[tex]\begin{gathered} A=(2,5) \\ B=(6,3) \end{gathered}[/tex]When reflecting in the y-axis, the rule below applies.
- Negate the value of the x-coordinate of each point, but leave the y-value the same.
[tex](x,y)\rightarrow(-x,y)[/tex]Hence, the coordinate of the reflected points will be;
[tex]\begin{gathered} A=(2,5) \\ B=(6,3) \\ \\ A^{\prime}=(-2,5) \\ B^{\prime}=(-6,3) \end{gathered}[/tex]Therefore,
[tex]\begin{gathered} A^{\prime}=(-2,5) \\ B^{\prime}=(-6,3) \end{gathered}[/tex]