Question

I WILL GIVE BRAINLIST TO RIGHT ANSWER.

(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 or flipping a shape  

• The sequence of transformation from X to Y is: horizontal shift to the right by 1 unit, followed by a reflection across the y-axis
• The transformation mapping is: $(x,y) \to (-x-1,y)$

(a) Sequence of transformation

From the graph, we have the following observations

• Horizontal translation to the right  
• Then reflected across the y-axis

(b) Transformation mapping

Let the coordinates of X be (x,y)

When X is translated to the right, the rule is:

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

When the figure is then reflected across the y-axis, the rule is:

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

So, we have:

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

So, the transformation mapping is:

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

 

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