6. The graph of the function y = x* is transformed to the graph of the function y = −[2(x + 3)]* + 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

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 47E
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6. The graph of the function y = x 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 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
2²
Transcribed Image Text:6. The graph of the function y = x 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 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 2²
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