A) Let f: R² R² be defined by k 0 f( = = 0 transformation u, where k is a scalar. The k f is called dilation if k> 1 and it is called contraction if 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 61E
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A) Let f: R² R² be defined by
0
f(u) = [ko]
0
transformation f is called dilation if k> 1 and it
is called contraction if 0 <k < 1.
u, where k is a scalar. The
Consider the rectangle R with the vertices
(-2, 1), (-2,5), (4, 1), (4, 5). Suppose f is the
dilation with k = 3. Find the image of R. Draw the
rectangle R and its image on the xy-plane.
B) Let f: R² R² be defined by
1
0
f(u) = [] u. The transformation f is
called the reflection with respect to x-axis.
Consider the triangle Twith the vertices
(-1,-1), (2, 4), (5,2). Suppose f is the
reflection with respect to x-axis. Find the image
of T. Draw the triangle Tand its image on the xy-
plane.
Transcribed Image Text:A) Let f: R² R² be defined by 0 f(u) = [ko] 0 transformation f is called dilation if k> 1 and it is called contraction if 0 <k < 1. u, where k is a scalar. The Consider the rectangle R with the vertices (-2, 1), (-2,5), (4, 1), (4, 5). Suppose f is the dilation with k = 3. Find the image of R. Draw the rectangle R and its image on the xy-plane. B) Let f: R² R² be defined by 1 0 f(u) = [] u. The transformation f is called the reflection with respect to x-axis. Consider the triangle Twith the vertices (-1,-1), (2, 4), (5,2). Suppose f is the reflection with respect to x-axis. Find the image of T. Draw the triangle Tand its image on the xy- plane.
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