(1) T(x, y) = (x - 6, y) and label S'KTRT" (2) Reflect SKIRT over the x-axis and label S'K'T"R"T". Write the rule using the notation. (3) Shift SKIRT 4 units up and 5 units right and label STK'T''R''T". Write the rule, (4) Write the new coordinates of K" after shifting K"9 units up & 12 left.

1 Tx y x 6 y and label SKTRT 2 Reflect SKIRT over the xaxis and label SKTRT Write the rule using the notation 3 Shift SKIRT 4 units up and 5 units right and lab class=


Answer :

1)

The transformation given is

[tex]T(x,y)\rightarrow(x-6,y)[/tex]

this means that we have to substract 6 to every x coordinate.

The new coordinates are:

[tex]\begin{gathered} S(7,-5)\rightarrow S^{\prime}(1,-5) \\ K(9,-4)\rightarrow K^{\prime}(3,-4) \\ I(8,-7)\rightarrow I^{\prime}(2,-7) \\ R(9,-9)\rightarrow R^{\prime}(3,-9) \\ T(7,-8)\rightarrow T^{\prime}(1,-8) \end{gathered}[/tex]

2)

A reflection across the x axis is given by:

[tex](x,y)\rightarrow(x,-y)[/tex]

The new coordinates are:

[tex]\begin{gathered} S^{\prime}(1,-5)\rightarrow S^{\doubleprime}(1,5) \\ K^{\prime}(3,-4)\rightarrow K^{\doubleprime}(3,4) \\ I^{\prime}(2,-7)\rightarrow I^{\doubleprime}(2,7) \\ R^{\prime}(3,-9)\rightarrow R^{\doubleprime}(3,9) \\ T^{\prime}(1,-8)\rightarrow T^{\doubleprime}(1,8) \end{gathered}[/tex]

3)