Explanation Given: The vertices of the square are ( 1 , 1 ) , ( 3 , 2 ) , ( 0 , 3 ) and ( 2 , 4 ) . The vertical shrink is k = 1 2 . Approach: The vertical shrink in 0 < k < 1 is given by, [ k 0 0 1 ] Calculation: The vertical shrink in k = 1 2 is, [ 1 2 0 0 1 ] The column matrix of the vertex ( 1 , 1 ) is, [ 1 1 ] Multiply the above matrix with matrix [ 1 2 0 0 1 ] . [ 1 2 0 0 1 ] [ 1 1 ] = [ 1 2 1 ] The vertices form of the matrix obtained is ( 1 2 , 1 ) . The column matrix of the vertex ( 3 , 2 ) is, [ 3 2 ] Multiply the above matrix with matrix [ 1 2 0 0 1 ] . [ 1 2 0 0 1 ] [ 3 2 ] = [ 3 2 2 ] The vertices form of the matrix obtained is ( 3 2 , 2 )

10th Edition

ISBN: 9781337271073

Author: Ron Larson

Publisher: Cengage Learning

See similar textbooks

Videos

Question

Chapter 8.5, Problem 40E

To determine

The vertices of the image of the square after the transformation of vertical shrink for k=12.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 8.5, Problem 39E

Chapter 8.5, Problem 41E

Students have asked these similar questions

Vectors t = 3i + 7j, u = 2i − 5j, and v = −21i + 9j are given.Part A: Find the angle between vectors t and u. Show all necessary calculations. Part B: Choose a value for c, such that c > 1. Find w = cv. Show all necessary work.Part C: Use the dot product to determine if t and w are parallel, orthogonal, or neither. Justify your answer.

A small company of science writers found that its rate of profit (in thousands of dollars) after t years of operation is given by P'(t) = (5t + 15) (t² + 6t+9) ³. (a) Find the total profit in the first three years. (b) Find the profit in the sixth year of operation. (c) What is happening to the annual profit over the long run? (a) The total profit in the first three years is $ (Round to the nearest dollar as needed.)

Find the area between the curves. x= -2, x = 7, y=2x² +3, y=0 Set up the integral (or integrals) needed to compute this area. Use the smallest possible number of integrals. Select the correct choice below and fill in the answer boxes to complete your choice. A. 7 [[2x² +3] dx -2 B. [[ ] dx+ -2 7 S [ ] dx The area between the curves is (Simplify your answer.)

Chapter 8 Solutions

Precalculus (MindTap Course List)

Ch. 8.1 - Prob. 1CP Ch. 8.1 - Prob. 2CP Ch. 8.1 - Prob. 3CP Ch. 8.1 - Prob. 4CP Ch. 8.1 - Prob. 5CP Ch. 8.1 - Prob. 6CP Ch. 8.1 - Prob. 7CP Ch. 8.1 - Prob. 8CP Ch. 8.1 - Prob. 9CP Ch. 8.1 - Prob. 1E

Knowledge Booster

$Calculus$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

The vertices of the image of the square after the transformation of vertical shrink for k = 1 2 .

Solution Summary: The author calculates the vertices of the square after the transformation of vertical shrink for k=12

Videos

The vertices of the image of the square after the transformation of vertical shrink for k=12.

Want to see the full answer?

Chapter 8 Solutions