Answered: *ABC is translated 4 units to the left…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.7: Combinations

Problem 15E

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Question

*ABC is translated 4 units to the left and 8 units up, then reflected across the y-axis. Answer the questions to find the coordinates of A after the transformations. 1. Give the rule for translating a point 4 units left and 8 units up. 2. After the translation, where is A located? 3. Give the rule for reflecting a point over the y-axis. 4. What are the coordinates of A after the reflection? 5. After the two transformations, has A returned to it's original location? This is for an experiment

Expert Solution

Step 1

For 4 unit up we can define as

f(x,y)= f(x,y+h) [where h is the unit translated up]

= f(x,y+4)

For 8 unit left we can define it as

f(x,y)= f(x-b,y) [where b is the unit translated left]

The co-ordinates of A will be (7-4,5+8) i.e. (3,13) and the reflection to the y axis

The co-ordinates of A will be (-3,13)

After translated ABC 8 unit left and 4 unit up. The point A will be located to

x=-3-4=-7

y=13+8=21

After, translated, the co-ordinates of A will be

(-7,21)

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