6. The graph of the function y = x¹ is transformed to the graph of the function y=-[2(x+3)]¹ + 1 by a. Vertical stretch by a factor of 2, a reflection in the x-axis, a translation of 3 units to the right, and a translation of 1 unit up b. Horizontal stretch by a factor of 2, a reflection in the x-axis, a translation of 3 units to the right, and a translation of 1 unit up 1 c. Vertical compression by a factor of, a reflection in the x-axis, a translation of 3 units to the left, and a translation of 1 unit up 1 d. Horizontal compression by a factor of a reflection in the x-axis, a translation of 3 units to the left, and a translation of 1 unit up 2'

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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6. The graph of the function y = x¹ is transformed to the graph of the function y = −[2(x + 3)]¹ + 1 by
a. Vertical stretch by a factor of 2, a reflection in the x-axis, a translation of 3 units to the right, and a translation of 1 unit up
b. Horizontal stretch by a factor of 2, a reflection in the x-axis, a translation of 3 units to the right, and a translation of 1 unit up
c. Vertical compression by a factor of 171213 a reflection in the x-axis, a translation of 3 units to the left, and a translation of 1 unit up
2'
d. Horizontal compression by a factor of
a reflection in the x-axis, a translation of 3 units to the left, and a translation of 1 unit up
2'
Transcribed Image Text:6. The graph of the function y = x¹ is transformed to the graph of the function y = −[2(x + 3)]¹ + 1 by a. Vertical stretch by a factor of 2, a reflection in the x-axis, a translation of 3 units to the right, and a translation of 1 unit up b. Horizontal stretch by a factor of 2, a reflection in the x-axis, a translation of 3 units to the right, and a translation of 1 unit up c. Vertical compression by a factor of 171213 a reflection in the x-axis, a translation of 3 units to the left, and a translation of 1 unit up 2' d. Horizontal compression by a factor of a reflection in the x-axis, a translation of 3 units to the left, and a translation of 1 unit up 2'
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