Which is a correct description of the transformation?B.B'AC'O Translation 1 unit down and 3 units rightO Translation 3 units left and 1 unit upO Reflection over the x--2O Rotation 180° around (- 2, 2)A,

coordinate of point A=-5 , 2coordinate of point A' =-2 , 1

Answered: Which is a correct description of the…

Math

Geometry

Which is a correct description of the transformation? B. B' AT A' C'

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.1: Introduction To Linear Transformations

Problem 76E: A translation in R2 is a function of the form T(x,y)=(xh,yk), where at least one of the constants h...

See similar textbooks

Related questions

Q: - In the diagram below, under which transformation is AX'Y'Z' the image of AXYZ? |||||||| | ||…

Q: Find the imvesse Fourrez transformation of F (P) = eply; y = (-00,00). Є

Q: 1) Identify a sequence of transformations that will transform figure G into figure H.What is the…

A: Reflect the figure G across y-axis (x,y)------> (-x,y)

Q: Which of the following is a linear transformation? L:R? → R3 defined by L 2x +3 » (1;) - ] L: R2 +…

A: Three pairs of matrix transformations are given. The objective is to find which of the given…

Q: 1. Let L: M2R be defined by (:2)---d+b-c. a Is La linear transformation? Explain.

Q: 1. Under a particular transformation, point A' is the image of point A and point B' is the image of…

Q: (9) Let T: R. -R? be a linear transformation. Suppose T(u) = and T(v) = What is T(2u -3v)?

Q: Show that the transformation Y = 2x, + x, + Xy, y2=x, + Xg + 2x, yg-x, - 2r, is regular. Write down…

Q: Use your knowledge of transformations to sketch y =1-e.

Q: Which of the following is NOT considered as a topological transformation? a. Bending O b. Merging O…

A: A continuous transformation, also called a topological transformation or homeomorphism, is a…

Q: Give a counterexample to show that the given transformation is not a linear transformation: r (:) =…

A: A transformation is linear if: T(u+v)=T(u)+T(v) The given transformation is: Txy=yx2 Let us assume…

Q: If T(0) = 0, then T is linear transformation. %3D

A: detailed solution is given below

Q: (f) Three of these transformations are shape-preserving. Which are they? UJ OK OL COM ON

Q: Which best describes the composition of transformations that maps JKLM to PQRS? J -2. A. (D3 o R,)…

A: From the figure, first notice the coordinates of the points J, K, L, M. The coordinates of the…

Q: Which of the following linear transformation is NOT one-to-one? L:R + R. L O L: Mm,n → Mn,m- L (A) =…

A: The transformation whose rank is not equal to its dimension, that transformation is not one to one.

Q: ху 9. Give a counterexample to show that the given transformation is not linear T х+у

A: We need to find the counterexample for the given transformation.

Q: а) Т. М22- M22 defined by T .C 4 Identify that it is Linear or Non-Linear Transformation.

A: Given: T:M22→M22is defined by: Tabcd=1-124abcd So, Tabcd=a-cb-d2a+4c2b+4d Now, Let α=a1b1c1d1 ,…

Q: Find a linear transformation T: R' →R whose range is spanned by {(1, 2, 0, - 4), (2, 0, – 1, – 3)}

Q: Find the Jacobian of the transformation. x = u2 + uv, y = 8uv2

A: Given, x=u2+uv,y=8uv2 We know the Jacobian, dxdudxdvdydudydv

Q: → R? be a linear transformation defined by T(7)

A: Given, x→=ab, v→=-59, and w→=-51 and T:ℝ2→ℝ2 be a linear transformation defined by…

Q: 1 Under the transformation w=-, find the image of y – x + 1 = 0

Q: Is w = cos(z) a fractional linear transformation

Q: Which of the following transformations is shown in the image below? E F -E- O (X, y) → (x, -y) O (X,…

Q: (b) Justify why âx och T are linear transformations.

A: Given: A functions T:ℙ2→ℙ2 defined by T(p)=p'+p and x^: ℙ2→ℙ2 defined by x^p=xp. To justify: b) Why…

Q: 1. Let L: M2 R be defined by (20-a-d+b-c. Is La linear transformation? Explain.

A: Yes, L is a linear transformation. we can prove this as follow

Q: Ca²x.+by, cx+d

Q: Consider the transformations from R to R' defined below, is this transformation linear? Y1 3x2 Y2…

Q: What is the transformation that takes ASTU to AS'T'U'?

Q: Find the Jacobian of transformation J

A: For calculating the Jacobian of a transformation the formula is given by - J = ∂x,y∂r,θ =…

Q: Illustration 19. Consider the linear transformation L : R3 → R³ defined by 221 d2 аз аз

Q: 1- Show that: |(1 -x²]-1/2 dx = 2 VIT %3D Hint: Make the following transformation: x2 = y

Q: hat is a transformation in which a figure is turned about a fixed point?

A: Answer : Rotation

Q: Which of the following transformations is a reflection over the y-axis? O (X, )(-x, -y) O(X, )(-x,…

A: apply the rule for the reflection

Q: Which of the following is NOT a linear transformation. O T:C→C:T(z) = Z OT :R → R; T(x) = x² OT:R?…

Q: T: M2- M2 defined by 7 (: ) = G a 4 Identify that it is Linear or Non-Linear Transformation.

A: Linear map

Q: Find the Jacobian of the transformation. x = u2 + uv, y = 3uv² X =

Q: Suppose that T is a linear transformation, with T(u,) = T(u2) =:: Find T(2u, - 3u,).

A: From the definition of linear transformation we can solve this question.

Q: where J is Jacobian of the transformation of

Q: Determine whether the linear transformation is invertible. If it is, find its inverse. (If an answer…

Q: 2- Show that a(p) can be transformed to using the transformation: dx Y = а (p)dx Hint: Use chain…

Q: 1. Let L: M2 - R be defined by ((: :)- = a -d+b-c. Is La linear transformation? Explain.

Q: Show that the following are not llinear transformations, explain why. T(x,y) = (x^3, xy, y) T(x,y)…

Q: Find a linear transformation T: R →R whose range is spanned by {(1, 2, 0, – 4), (2, 0, – 1, – 3)}

Q: Let T:R + R be the linear transformation defined by - (E)-H - () -- -()-A T T Is this linear…

Q: Which of the following is/are not preserved in projective transformations? I. Lengths and angles II.…

A: We have to determine which of the following doesn't preserve in projective transformation.

Q: Let T and U be two transformations. What does the composition T∘U mean?

A: Here T and U are transformation, the composition is explained below see the explanation below.

Q: Consider the transformations from IR to IR defined below, is this transformation linear? 22+ 2 3 202…

A: If T is linear, then it maps zero vector to zero vector. i.e. if zero vector does not map to zero…

Q: Which of the following is/are not preserved in projective transformations?

A: Recall: Projective transformation does not preserve parallelism, length and angle. It preserves…

Q: After processing some images in a two-day experiment, a lab technician realises that all the images…

Q: True or False? IF L:R -R is a linear transformation with dim Ker L - 2. then L is ONTO. O Tue O Fahe

A: L:ℝ5→ℝ3 is a Linear transformation with dim ker L=2.

Question

Which is a correct description of the transformation?
B.
B'
A
C'
O Translation 1 unit down and 3 units right
O Translation 3 units left and 1 unit up
O Reflection over the x--2
O Rotation 180° around (- 2, 2)
A,

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Linear Transformation$

Learn more about

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

Similar questions

A translation in R2 is a function of the form T(x,y)=(xh,yk), where at least one of the constants h and k is nonzero. (a) Show that a translation in R2 is not a linear transformation. (b) For the translation T(x,y)=(x2,y+1), determine the images of (0,0,),(2,1), and (5,4). (c) Show that a translation in R2 has no fixed points.
For the linear transformation from Exercise 45, let =45 and find the preimage of v=(1,1). 45. Let T be a linear transformation from R2 into R2 such that T(x,y)=(xcosysin,xsin+ycos). Find a T(4,4) for =45, b T(4,4) for =30, and c T(5,0) for =120.
Let T be a linear transformation from R2 into R2 such that T(x,y)=(xcosysin,xsin+ycos). Find a T(4,4) for =45, b T(4,4) for =30, and c T(5,0) for =120.
Find the centralizer for each element a in each of the following groups. The quaternion group G={ 1,i,j,k,1,i,j,k } in Exercise 34 of section 3.1 (Sec. 3.1, #34). G={ I2,R,R2,R3,H,D,V,T } in Exercise 36 of section 3.1 (Sec. 3.1, #36). G={ I3,P1,P2,P3,P4,P5 } in Exercise 35 of section 3.1 (Sec. 3.1, #35). Sec. 3.1,34 34. Let G be the set of eight elements G={ 1,i,j,k,1,i,j,k } with identity element 1 and noncommutative multiplication given by (1)2=1, i2=j2=k2=1, ij=ji=k jk=kj=i, ki=ik=j, x=(1)x=x(1) for all x in G (The circular order of multiplication is indicated by the diagram in Figure 3.8.) Given that G is a group of order 8, write out the multiplication table for G. This group is known as the quaternion group. (Sec. 3.3,22a,32a, Sec. 3.4,2, Sec. 3.5,11, Sec. 4.2,8, Sec. 4.4,23, Sec. 4.5,40a, Sec. 4.6,3,11,16) Sec. 3.1,36 Consider the matrices R=[ 0110 ] H=[ 1001 ] V=[ 1001 ] D=[ 0110 ] T=[ 0110 ] in GL(2,), and let G={ I2,R,R2,R3,H,D,V,T }. Given that G is a group of order 8 with respect to multiplication, write out a multiplication table for G. (Sec. 3.3,22b,32b, Sec. 4.1,22, Sec. 4.6,14) Sec. 3.1,35 35. A permutation matrix is a matrix that can be obtained from an identity matrix In by interchanging the rows one or more times (that is, by permuting the rows). For n=3 the permutation matrices are I3 and the five matrices. (Sec. 3.3,22c,32c, Sec. 3.4,5, Sec. 4.2,6) P1=[ 100001010 ] P2=[ 010100001 ] P3=[ 010001100 ] P4=[ 001010100 ] P5=[ 001100010 ] Given that G={ I3,P1,P2,P3,P4,P5 } is a group of order 6 with respect to matrix multiplication, write out a multiplication table for G.
What is the sequence of similarity transformations that maps △WXY to △BCD? First transformation: [Select] (a. Reflection over the x-axis) (b. Rotation about the origin 90°) (c. Reflection over the y-axis) Second transformation: [Select] (a. Translation right 4 units) (b. Dilation factor 4) (c. Dilation factor 2)
Which transformation will NOT carry the rectangle onto itself a) Rotation 180 degrees about the origin b) Rotation 180 degrees about (-1, 0) c ) Reflection over the x-axis d) Reflection over x = 1
Which of the following transformation has the same result as a rotation of 90 degrees clockwise? a) dilation scale factor of 9 b) reflection about a horixontal line c) rotation of 270 degrees counterclockwise d) translation down and to the right
Find the Jacobian of the transformation T from the uv-plane to the xy-plane. The answer is attached but how did I get there?
Lily wants to define a transformation (or series of transformations) using only rotations, reflections or translations that take figure a to figure b.
Which does NOT describe a way to map this square back onto itself? A) A reflection in the x-axis B) A 90° counterclockwise rotation about (-2, 0) C) A 270° counterclockwise rotation about the origin D) A reflection in x = -2
Find the Jacobian of the transformation T from the uv-plane to the xy-plane. The answer is (1/2)(1-ln 2) . How do you get to that?
Trying to go ABC is reflected across the X axis and then across the Y access which rotation is equivalent to this composition transformations transformations