Question

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).

Please help me this is really important

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) The sequence of transformation

From the graph, we observe that

• Figure X was flipped across the vertical line (the y-axis)
• Then shifted to the left by 1 unit

(b) The transformation mapping

Let the coordinate of X be (x,y).

The first transformation is reflection across the y-axis

The rule for of this transformation is:

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

The next is, shift to the left by 1 unit.

The rule for of this transformation is:

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

So, we have:

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

Hence, the transformation mapping is:

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

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