Explanation Calculation: The equation of the line l is given by y = 2 x − 1 with translation ( x , y ) → ( x , y − 2 ) . Let X and Y be the image of x and y. So, X = x and Y = y − 2 . That is, X = x and Y + 2 = y . Substitute X = x and Y + 2 = y in y = 2 x − 1 To determine b. To find: The equation of the image of l under the transformation ( x , y ) → ( x + 3 , y ) .

A Problem Solving Approach to Mathematics for Elementary School Teachers (12th Edition)

12th Edition

ISBN: 9780321987297

Author: Rick Billstein, Shlomo Libeskind, Johnny Lott

Publisher: PEARSON

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Chapter 13.1A, Problem 8A

To determine

a.

To find:

The equation of the image of l under the transformation (x,y)→(x,y−2).

To determine

b.

To find:

The equation of the image of l under the transformation (x,y)→(x+3,y).

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Chapter 13.1A, Problem 7A

Chapter 13.1A, Problem 9A

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Chapter 13 Solutions

A Problem Solving Approach to Mathematics for Elementary School Teachers (12th Edition)

Ch. 13.1 - Prob. 1MC Ch. 13.1 - Prob. 3MC Ch. 13.1 - When a line is rotated about a point O, by angle ,...Ch. 13.1 - Prob. 6MC Ch. 13.1 - Prob. 7MC Ch. 13.1 - Prob. 8MC Ch. 13.1 - A drawing of a cube, shown in the following...Ch. 13.1 - Wall stenciling has been used to obtain an effect...Ch. 13.1 - Prob. 11MC Ch. 13.1 - Prob. 12MC

Ch. 13.1 - Prob. 13MC Ch. 13.1 - Prob. 14MC Ch. 13.1 - Prob. 15MC Ch. 13.1 - Prob. 16MC Ch. 13.1 - Prob. 19MC Ch. 13.1 - Prob. 1NAEP Ch. 13.1A - For each of the following, find the image of the...Ch. 13.1A - Construct the image BC under the translation...Ch. 13.1A - Find the coordinates of the image for each of the...Ch. 13.1A - Prob. 4A Ch. 13.1A - Prob. 7A Ch. 13.1A - Prob. 8A Ch. 13.1A - If y=2x+3 is the image of the line k under the...Ch. 13.1A - Prob. 10A Ch. 13.1A - Prob. 11A Ch. 13.1A - Prob. 12A Ch. 13.1A - a. Draw a line l and any two points A and B so...Ch. 13.1A - Prob. 14A Ch. 13.1A - Prob. 15A Ch. 13.1A - Prob. 16A Ch. 13.1A - Prob. 18A Ch. 13.1A - a. 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Refer to the following figure...Ch. 13.2A - Prob. 6A Ch. 13.2A - Assessment 14-2A Given ABC and its reflection...Ch. 13.2A - a. The word TOT is its own image when it is...Ch. 13.2A - Find the equation of the image of the line with...Ch. 13.2A - Prob. 10A Ch. 13.2A - Decide whether a reflection, a translation, a...Ch. 13.2A - a. Conjecture what the image of a point with...Ch. 13.2A - Prob. 16A Ch. 13.2A - Prob. 17A Ch. 13.2A - Prob. 18A Ch. 13.2A - Point P is the image of P not shown under a glide...Ch. 13.2A - Consider the glide reflection determined by the...Ch. 13.2B - Prob. 1A Ch. 13.2B - Prob. 2A Ch. 13.2B - Determine the final result when ABCis reflection...Ch. 13.2B - Prob. 4A Ch. 13.2B - Prob. 6A Ch. 13.2B - Prob. 7A Ch. 13.2B - Prob. 8A Ch. 13.2B - Prob. 9A Ch. 13.2B - Prob. 10A Ch. 13.2B - Prob. 11A Ch. 13.2B - Prob. 12A Ch. 13.2B - Prob. 13A Ch. 13.2B - Prob. 14A Ch. 13.2B - Prob. 15A Ch. 13.2B - In which line will the two intersecting circles...Ch. 13.2B - Prob. 18A Ch. 13.2B - If PQ is the image PQ not shown under a glide...Ch. 13.2B - Prob. 20A Ch. 13.2B - Prob. 21A Ch. 13.3 - Prob. 1MC Ch. 13.3 - Prob. 2MC Ch. 13.3 - Prob. 3MC Ch. 13.3 - Prob. 5MC Ch. 13.3 - Prob. 6MC Ch. 13.3 - Prob. 7MC Ch. 13.3 - Prob. 8MC Ch. 13.3 - Prob. 9MC Ch. 13.3 - Prob. 10MC Ch. 13.3 - Prob. 11MC Ch. 13.3 - Prob. 12MC Ch. 13.3 - Prob. 13MC Ch. 13.3 - Prob. 14MC Ch. 13.3 - Prob. 15MC Ch. 13.3 - Prob. 16MC Ch. 13.3 - Prob. 17MC Ch. 13.3A - In the following figures, describe a sequence of...Ch. 13.3A - Prob. 2A Ch. 13.3A - In each of the following drawings, find...Ch. 13.3A - Prob. 4A Ch. 13.3A - AB is the image of a candle AB produced by a box...Ch. 13.3A - Prob. 6A Ch. 13.3A - Prob. 7A Ch. 13.3A - a. 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A...Ch. 13.CR - Prob. 2CR Ch. 13.CR - Prob. 3CR Ch. 13.CR - Prob. 4CR Ch. 13.CR - Given that STAR in the figure shown is a...Ch. 13.CR - Prob. 6CR Ch. 13.CR - Given that SNOSWO in the following figure,...Ch. 13.CR - Prob. 8CR Ch. 13.CR - Prob. 9CR Ch. 13.CR - Prob. 10CR Ch. 13.CR - If a translation determined by (x,y)(x+3,y2) is...Ch. 13.CR - Prob. 12CR Ch. 13.CR - Prob. 13CR Ch. 13.CR - Prob. 14CR Ch. 13.CR - Prob. 15CR Ch. 13.CR - Prob. 16CR Ch. 13.CR - Prob. 17CR Ch. 13.CR - For each of the following cases, find the image of...Ch. 13.CR - Prob. 19CR Ch. 13.CR - Prob. 21CR Ch. 13.CR - On a 1-m equilateral triangle pool table, a ball...Ch. 13 - NOW TRY THIS In Figure 3 use a compass and...Ch. 13 - Prob. 2NT Ch. 13 - Prob. 3NT Ch. 13 - Prob. 5NT Ch. 13 - Prob. 8NT

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a. To find: The equation of the image of l under the transformation ( x , y ) → ( x , y − 2 ) .

Solution Summary: The author calculates the equation of the image of l under the transformation (x,y)to

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a.

To find:

The equation of the image of l under the transformation (x,y)→(x,y−2).

b.

To find:

The equation of the image of l under the transformation (x,y)→(x+3,y).

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Chapter 13 Solutions

a. To find: The equation of the image of l under the transformation ( x , y ) → ( x , y − 2 ) .

Solution Summary: The author calculates the equation of the image of l under the transformation (x,y)to

Concept explainers

Videos

a. To find: The equation of the image of l under the transformation (x,y)→(x,y−2).

b. To find: The equation of the image of l under the transformation (x,y)→(x+3,y).

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Chapter 13 Solutions

a.

To find:

The equation of the image of l under the transformation (x,y)→(x,y−2).

b.

To find:

The equation of the image of l under the transformation (x,y)→(x+3,y).