If a translation maps point (3, 2) to (4, 5); or T : (3, 2) (4, 5), indicate the image for (2, 4)
Translations 2 Name: Date: 10 Translation T maps point (26) to point (4,-1). What is the image of point (-1,3) under translation T? A translation maps P(3,-2) to P'(1, 1). Under the same translation, find the coordinates of ', the image of e-3,2) 11 A translation maps P(4, 1) to P '(2. - 1). What are the coordinates of Q', the image of C,3) under the same translation? 12 13 A translation maps P(4,-3) onto P'(0, 0). Find the coordinates...
Translation T maps point (4, -1).What is the image of point (-1,3) under translation T?
Pe (3) Show that the composite of two translations is again a translation (4) Show that the inverse of a translation is again a translation. (5) Suppose that f is an isometry which has no fixed points. Show that f can be written as a compo- sition Ro τ where T is a translation and R has at least one fixed point. Pe (3) Show that the composite of two translations is again a translation (4) Show that the inverse...
5. Which is the graph of the following parametric equation? (1 point) 2 x-E and y 2-3 .y t-4 5 t-4 3- 2- 3- 2- 5 -4 -3 -2 10 -1 2 3 4 t-1 t=0 it 6: Parametric Functions 6 3 2- 1- -5-4-3-2-1.0 -1 -2 -3 t 0 2- t= 16 2 4 -3 2 1 12 3 4 5 -1 1 -2 -4 ametric Functions Test 6: Parametric Functions t 16 1- 1/2 3 4 5 -1...
a. 1. Identify the image of point P under the following transformations. a translation along vector v b. a reflection across line 1 a counterclockwise rotation of 90° about point o d. A glide-reflection across / and along ū c. V E O u B C D A Р Identify the image of point P under the following transformations.
Problem 2 [25 pts.] Let T: P2 → P4 be the transformation that maps a polynomial p(t) into the polynomial p(t) + tap(t). a. Find the image of p(t) 2 - t+t2. b. Show that T is a linear transformation. c. Find the matrix for T relative to the bases {1, t, ta} and {1, t, t2, t3, +4}.
(1 point) Let 6 -5 5 16 47 5 4 6 A= and b= 3 3 11 -4 -3 -8 116 40 Define the transformation T:R? R4 by T(2) = Ax. Find a vector x whose image under T is b. = Is the vector x unique? unique
Consider T: RR with BREF 3 5 2 1 10 4 3 -4 -1 -20 -6 1 0 0 0 05 Doints) Find a basis for image(T). What is dim(image(T))? (4 points) Convert image(T) to relation form.
Let T : P2 --> P4 be the transformation that maps a polynomial p(t) into the polynomial p(t) + t2p(t). (a) Find the image of p(t) = 2 - t + t2 (b) Show that T is a linear transformation. (c) Find the matrix for T relative to the bases {1, t, t2} and {1, t, t2, t3, t4}
Define the linear transformation T:?3??4 by T(x )=Ax . Find a vector x whose image under T is b (1 pt) Let 4 5 2 -2 5 -3 2 and b-10 -7 2 1 -4 Define the linear transformation T : R3 ? R4 by T(x-Ax Find a vector x whose image under T is b. x= Is the vectorx unique? choose