Plot $ΔABC$ on graph paper with points $A(1,1)$, $B(-1,-1)$, and $C(4,-1)$.   

1. Use the function ($x→-x$, $y→y$) to transform $ΔABC$. Label this triangle $ΔA^\prime B^\prime C^\prime$. What kind of transformation does this produce? Name the coordinates of the image.

   Hint (a):

   Review the Math Notes box in Lesson 3.1.4.

   Partial Answer (a):

   This transformation produces a reflection over the $y$-axis.
   Name the coordinates of each image point.

2. Now translate $ΔABC$ upward and right a total distance of five units, parallel to the line $y = \frac { 4 } { 3 }x + 5$ to create $ΔA^{\prime\prime} B^{\prime\prime} C^{\prime\prime}$. Name the coordinates of the image.

   Hint (b):

   This translation is to be parallel to the line, meaning you should translate every point up $4$ and to the right $3$.