Respuesta :
Answer:
The vertices of the image are:
[tex]\begin{gathered} N^{\prime}(-1,-2) \\ M^{\prime}(-4,1) \\ O^{\prime}(-3,3) \end{gathered}[/tex]Step-by-step explanation:
Remember that the general rule to reflect over a vertical line in the form:
[tex]x=a[/tex]is:
[tex](x.y)\rightarrow(-x-2a,y)[/tex]For x = 3, we'll have that the general rule is:
[tex](x,y)\rightarrow(-x-6,y)[/tex]We'll apply this transformation to the vertices, as following:
[tex]\begin{gathered} N(-5,2)\rightarrow N^{\prime}(-1,-2) \\ M(-2,1)\rightarrow M^{\prime}(-4,1) \\ O(-3,3)\rightarrow O^{\prime}(-3,3) \end{gathered}[/tex]Therefore, the vertices of the image are:
[tex]\begin{gathered} N^{\prime}(-1,-2) \\ M^{\prime}(-4,1) \\ O^{\prime}(-3,3) \end{gathered}[/tex]