Given: The square STUV
To Determine: The coordinate of the image after reflection over the y-axis
Solution
The reflection over the y-axis rule is
![(x,y)\rightarrow(-x,y)](https://img.qammunity.org/2023/formulas/mathematics/college/ikcitr9ov18gnuy0131ezdtc936qt485rg.png)
Locate the coordinates of STUV
Let us apply the rule to get the coordinate of the image
![\begin{gathered} S(-10,-10)\rightarrow S^(\prime)(10,-10) \\ T(0,-10)\rightarrow T^(\prime)(0,-10) \\ U(0,0)\rightarrow U^(\prime)(0,0) \\ V(-10,0)\rightarrow V^(\prime)(10,0) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/u7wwr48830nicoeu6z1ebjpkb1q0be5zja.png)
Hence, the coordinate of the image after a reflection over the y-axis is
S'(10, - 10)
T'(0, - 10)
U'(0, 0)
V'(10, 0)