Verified Answer :

In your question where as ask which of the transformation will map Figure L onto Figure L. Base on my calculation and through step by step procedure and with the guidance of the theories and by the use of formulas, I came up with an answer of horizontal translation of 6 units

Answer:

Transformation rule: T(6,0)

Step-by-step explanation:

In given figure L, Vertices of triangle ABC

A(-3,7)     B(-4,2)  C(-2,4)

In given figure L', Vertices of triangle A'B'C'

A'(3,7)     B(2,2)    C'(4,4)

Please see the attachment for the vertices of A, B and C.

We have to find the map rule how to translate A to A'

\(T(x,y)\rightarrow T'(x+a,y+b)\)

\(A(-3,7)\rightarrow A'(3,7)\)

\(B(-4,2)\rightarrow B'(2,2)\)

\(C(-2,4)\rightarrow C'(4,4)\)

We can see x changes to 6 unit right and no change in y

So, Translation rule

\(T(x,y)\rightarrow T'(x+6,y+0)\)

Figure L change to figure L' by rule T(6,0)

Thus, Transformation rule is T(6,0)

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