Worked solution
Retain three valid two-step transformation sequences
Under two successive transformations, becomes . Describe the transformations.
CJC · Transformations · Self-Practice 4
Printed answer 1: vertical scale, then translation
Answer
Scale parallel to the y-axis by factor 3, then translate 2 units in the negative y-direction.
Both copies print this answer. Authored verification: .
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Printed answer 2: horizontal translation, then scale
Answer
Translate 2 units in the positive x-direction, then scale parallel to the x-axis by factor .
Both copies print this alternative. Authored verification: ; replacing x by gives .
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Printed answer 3: horizontal scale, then translation
Answer
Scale parallel to the x-axis by factor , then translate unit in the positive x-direction.
Both copies print this alternative too. Authored verification: . If the order is reversed, the translation distance must change. No uniqueness of a two-step sequence is implied.
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