3 3 1. The function y = x² has undergone the following sets of transformations. If y = x²³ passes through the points (1,1), (3,27), and (4,64), list the coordinates of these transformed points on each new curve. a. Reflected in the y-axis, horizontally stretched by a factor of 2, and vertically translated 2 units up. b. Vertically compressed by a factor of 1 horizontally stretched by a factor 2⁹ of 4, and vertically translated 6 units down. c. Horizontally stretched by a factor of 3, Horizontally translated 3 units left, and vertically translated 3 units down
3 3 1. The function y = x² has undergone the following sets of transformations. If y = x²³ passes through the points (1,1), (3,27), and (4,64), list the coordinates of these transformed points on each new curve. a. Reflected in the y-axis, horizontally stretched by a factor of 2, and vertically translated 2 units up. b. Vertically compressed by a factor of 1 horizontally stretched by a factor 2⁹ of 4, and vertically translated 6 units down. c. Horizontally stretched by a factor of 3, Horizontally translated 3 units left, and vertically translated 3 units down
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. The function y = x² has undergone the
following sets of transformations. If y = x
passes through the points (1,1), (3,27), and
(4,64), list the coordinates of these
transformed points on each new curve.
a. Reflected in the y-axis, horizontally
stretched by a factor of 2, and
vertically translated 2 units up.
b. Vertically compressed by a factor of
, horizontally stretched by a factor
of 4, and vertically translated 6 units
down.
2
c. Horizontally stretched by a factor of
3, Horizontally translated 3 units left,
and vertically translated 3 units
down.
6
KI
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