Solution
- The transformation for reflection over the y-axis is given below:
![(x,y)\to(-x,y)](https://img.qammunity.org/2023/formulas/mathematics/college/rm9of062rm29b8zsd64ko69lqolf3iiq66.png)
- We have been given the coordinate of B to be (-5, -2) as shown below:
- Thus, applying the transformation formula given above, we have:
![\begin{gathered} (x,y)\to(-x,y) \\ (-5,-2)\to(-(-5),-2)=(5,-2) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ch97wgfdmgxh7r9zgdyuwy7cotjfy1h8ay.png)
- Thus, the reflected point B' is
![(5,-2)](https://img.qammunity.org/2023/formulas/mathematics/college/uaiog30cf5pfnlu7ex33yfct1ec4w9lp79.png)
- This is shown below: