ANSWER
[tex]\begin{gathered} a)X(x,y)\to X^{\prime}(-x,y) \\ b)P^{\prime}(0,2);E^{\prime}(-4,6);N^{\prime}(-8,-1);T^{\prime}(-6,-3);A(^{\prime}-2,-4) \end{gathered}[/tex]EXPLANATION
a) The arrow rule is used to represent the transormation of a figure/point on the cartesian plane.
For a reflection across the y axis, the y cordinates of the image stay the same but the x coordinates of the image become the negative inverse.
Therefore, the arrow rule for this transformation is:
[tex]X(x,y)\to X^{\prime}(-x,y)[/tex]b)Therefore, the coordinates of the image of PENTA after the reflection across the y axis is:
[tex]\begin{gathered} P(0,2)\to P^{\prime}(0,2) \\ E(4,6)\to E^{\prime}(-4,6) \\ N(8,-1)\to N^{\prime}(-8,-1) \\ T(6,-3)\to T^{\prime}(-6,-3) \\ A(2,-4)\to A^{\prime}(-2,-4) \end{gathered}[/tex]