Question

(a) Using Geometry Vocabulary, describe a sequence of transformations that maps figure X onto figure Y.

(b) Write the Transformation Mapping Rule(s) for the sequence you described in part (a).

Answer 1

Transformation includes moving a shape from its original position.

• The sequence of transformation from X to Y is: reflection across the y-axis, and then a 1 unit left translation
• The transformation mapping is: $(x,y) \to (-x -1,y)$

(a) Sequence of transformation

From the graph, we observe that

• Figure X is reflected across the y-axis
• Then shifted to the left  

(b) Transformation mapping

Represent the coordinate of X with $(x,y).$

The rule of the first transformation, when reflected across the y-axis is

$(x,y) \to (-x,y)$

The rule of the second transformation, when shifted 1 unit left is:

$(x,y) \to (x - 1,y)$

This gives:

$(-x,y) \to (-x - 1,y)$

Hence, the transformation mapping is:

$(x,y) \to (-x - 1,y)$

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