a. To find: The equation of image of the line y = x − + 3 under the translation ( x , y ) → ( x + 2 , y − 3 ) .

Question

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Answer 1

Question

Chapter 14.CR, Problem 15CR

To determine

a.

To find:

The equation of image of the line y=x−+3 under the translation (x,y)→(x+2,y−3).

To determine

b.

To find:

The equation of the image of the line y=x−+3 under a reflection to the x-axis.

To determine

c.

To find:

The equation of the image of the line y=x−+3 under a reflection to the y-axis.

To determine

d.

To find:

The equation of the image of the line y=x−+3 under a reflection in the line y=x.

To determine

e.

To find:

The equation of the image of the line y=x−+3 rotated half-turn about the origin.

To determine

f.

To find:

The equation of the image of the line y=x−+3 dilation with center at the origin and scale factor of 2.

Expert Solution & Answer

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Draw the unit circle and plot the point P=(8,2). Observe there are TWO lines tangent to the circle passing through the point P. Answer the questions below with 3 decimal places of accuracy. L1 (a) The line L₁ is tangent to the unit circle at the point 0.992 (b) The tangent line 4₁ has equation: y= 0.126 x +0.992 (c) The line L₂ is tangent to the unit circle at the point ( (d) The tangent line L₂ has equation: y= 0.380 x + x × x)

Answer 2

Question

Chapter 14.CR, Problem 15CR

To determine

a.

To find:

The equation of image of the line y=x−+3 under the translation (x,y)→(x+2,y−3).

To determine

b.

To find:

The equation of the image of the line y=x−+3 under a reflection to the x-axis.

To determine

c.

To find:

The equation of the image of the line y=x−+3 under a reflection to the y-axis.

To determine

d.

To find:

The equation of the image of the line y=x−+3 under a reflection in the line y=x.

To determine

e.

To find:

The equation of the image of the line y=x−+3 rotated half-turn about the origin.

To determine

f.

To find:

The equation of the image of the line y=x−+3 dilation with center at the origin and scale factor of 2.

Expert Solution & Answer

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See solution

Answer 3

Question

Chapter 14.CR, Problem 15CR

To determine

a.

To find:

The equation of image of the line y=x−+3 under the translation (x,y)→(x+2,y−3).

To determine

b.

To find:

The equation of the image of the line y=x−+3 under a reflection to the x-axis.

To determine

c.

To find:

The equation of the image of the line y=x−+3 under a reflection to the y-axis.

To determine

d.

To find:

The equation of the image of the line y=x−+3 under a reflection in the line y=x.

To determine

e.

To find:

The equation of the image of the line y=x−+3 rotated half-turn about the origin.

To determine

f.

To find:

The equation of the image of the line y=x−+3 dilation with center at the origin and scale factor of 2.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 14.CR, Problem 15CR

To determine

a.

To find:

The equation of image of the line y=x−+3 under the translation (x,y)→(x+2,y−3).

To determine

b.

To find:

The equation of the image of the line y=x−+3 under a reflection to the x-axis.

To determine

c.

To find:

The equation of the image of the line y=x−+3 under a reflection to the y-axis.

To determine

d.

To find:

The equation of the image of the line y=x−+3 under a reflection in the line y=x.

To determine

e.

To find:

The equation of the image of the line y=x−+3 rotated half-turn about the origin.

To determine

f.

To find:

The equation of the image of the line y=x−+3 dilation with center at the origin and scale factor of 2.

Expert Solution & Answer

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See solution

Answer 5

Chapter 14.CR, Problem 15CR

To determine

a.

To find:

The equation of image of the line y=x−+3 under the translation (x,y)→(x+2,y−3).

To determine

b.

To find:

The equation of the image of the line y=x−+3 under a reflection to the x-axis.

To determine

c.

To find:

The equation of the image of the line y=x−+3 under a reflection to the y-axis.

To determine

d.

To find:

The equation of the image of the line y=x−+3 under a reflection in the line y=x.

To determine

e.

To find:

The equation of the image of the line y=x−+3 rotated half-turn about the origin.

To determine

f.

To find:

The equation of the image of the line y=x−+3 dilation with center at the origin and scale factor of 2.

Answer 6

Chapter 14.CR, Problem 15CR

To determine

a.

To find:

The equation of image of the line y=x−+3 under the translation (x,y)→(x+2,y−3).

Answer 7

Chapter 14.CR, Problem 15CR

To determine

a.

To find:

The equation of image of the line y=x−+3 under the translation (x,y)→(x+2,y−3).

Answer 8

To determine

b.

To find:

The equation of the image of the line y=x−+3 under a reflection to the x-axis.

Answer 9

To determine

b.

To find:

The equation of the image of the line y=x−+3 under a reflection to the x-axis.

Answer 10

To determine

c.

To find:

The equation of the image of the line y=x−+3 under a reflection to the y-axis.

Answer 11

To determine

c.

To find:

The equation of the image of the line y=x−+3 under a reflection to the y-axis.

Answer 12

To determine

d.

To find:

The equation of the image of the line y=x−+3 under a reflection in the line y=x.

Answer 13

To determine

d.

To find:

The equation of the image of the line y=x−+3 under a reflection in the line y=x.

Answer 14

To determine

e.

To find:

The equation of the image of the line y=x−+3 rotated half-turn about the origin.

Answer 15

To determine

e.

To find:

The equation of the image of the line y=x−+3 rotated half-turn about the origin.

Answer 16

To determine

f.

To find:

The equation of the image of the line y=x−+3 dilation with center at the origin and scale factor of 2.

Answer 17

To determine

f.

To find:

The equation of the image of the line y=x−+3 dilation with center at the origin and scale factor of 2.

Answer 18

Expert Solution & Answer

Answer 19

Expert Solution & Answer

Answer 20

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Answer 21

Ch. 14.1 - Prob. 1MC Ch. 14.1 - Prob. 3MC Ch. 14.1 - Prob. 5MC Ch. 14.1 - Prob. 6MC Ch. 14.1 - Prob. 7MC Ch. 14.1 - A drawing of a cube, shown in the following...Ch. 14.1 - Wall stenciling has been used to obtain an effect...Ch. 14.1 - Prob. 10MC Ch. 14.1 - The following figure is a partial tessellation of...Ch. 14.1 - Prob. 12MC

a. To find: The equation of image of the line y = x − + 3 under the translation ( x , y ) → ( x + 2 , y − 3 ) .

Solution Summary: The author explains the equation of image of the given line, y=-x+2, and the translation.

Concept explainers

Videos

a.

To find:

The equation of image of the line y=x−+3 under the translation (x,y)→(x+2,y−3).

b.

To find:

The equation of the image of the line y=x−+3 under a reflection to the x-axis.

c.

To find:

The equation of the image of the line y=x−+3 under a reflection to the y-axis.

d.

To find:

The equation of the image of the line y=x−+3 under a reflection in the line y=x.

e.

To find:

The equation of the image of the line y=x−+3 rotated half-turn about the origin.

f.

To find:

The equation of the image of the line y=x−+3 dilation with center at the origin and scale factor of 2.

Want to see the full answer?

Chapter 14 Solutions

a. To find: The equation of image of the line y = x − + 3 under the translation ( x , y ) → ( x + 2 , y − 3 ) .

Solution Summary: The author explains the equation of image of the given line, y=-x+2, and the translation.

Concept explainers

Videos

a. To find: The equation of image of the line y=x−+3 under the translation (x,y)→(x+2,y−3).

b. To find: The equation of the image of the line y=x−+3 under a reflection to the x-axis.

c. To find: The equation of the image of the line y=x−+3 under a reflection to the y-axis.

d. To find: The equation of the image of the line y=x−+3 under a reflection in the line y=x.

e. To find: The equation of the image of the line y=x−+3 rotated half-turn about the origin.

f. To find: The equation of the image of the line y=x−+3 dilation with center at the origin and scale factor of 2.

Want to see the full answer?

Chapter 14 Solutions

a.

To find:

The equation of image of the line y=x−+3 under the translation (x,y)→(x+2,y−3).

b.

To find:

The equation of the image of the line y=x−+3 under a reflection to the x-axis.

c.

To find:

The equation of the image of the line y=x−+3 under a reflection to the y-axis.

d.

To find:

The equation of the image of the line y=x−+3 under a reflection in the line y=x.

e.

To find:

The equation of the image of the line y=x−+3 rotated half-turn about the origin.

f.

To find:

The equation of the image of the line y=x−+3 dilation with center at the origin and scale factor of 2.