9. The graph of y = sin(-3(x +2)) – 1 is obtained from the graph of y = sin(x) by: A) Shift left 6 units, horizontal reflection, horizontal stretch by a factor of 3 and shift down 1 unit. 2 of a unit, horizontal reflection, horizontal stretch by a factor of 2 and shift down 1 unit. C) 3 B) Shift left Shift left 2 units, horizontal reflection, horizontal stretch by a factor of 2 and shift down 1 unit. D) Shift left 2 units, shift down 1 unit, horizontal reflection, horizontal stretch by a factor of 2. E) None of the above In addition to choosing the correct option above, identify the period, phase shift and amplitude of the function, and sketch one period of the graph.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 10DE
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()-
9. The graph of y
sin(-3(x + 2)) – 1 is obtained from the graph of y = sin(x) by:
2
A) Shift left 6 units, horizontal reflection, horizontal stretch by a factor of 3 and shift down 1 unit.
2
B) Shift left - of a unit, horizontal reflection, horizontal stretch by a factor of 2 and shift down 1 unit. C)
3
Shift left 2 units, horizontal reflection, horizontal stretch by a factor of 2 and shift down 1 unit.
D) Shift left 2 units, shift down 1 unit, horizontal reflection, horizontal stretch by a factor of 2.
E) None of the above
In addition to choosing the correct option above, identify the period, phase shift and amplitude of the
function, and sketch one period of the graph.
Transcribed Image Text:()- 9. The graph of y sin(-3(x + 2)) – 1 is obtained from the graph of y = sin(x) by: 2 A) Shift left 6 units, horizontal reflection, horizontal stretch by a factor of 3 and shift down 1 unit. 2 B) Shift left - of a unit, horizontal reflection, horizontal stretch by a factor of 2 and shift down 1 unit. C) 3 Shift left 2 units, horizontal reflection, horizontal stretch by a factor of 2 and shift down 1 unit. D) Shift left 2 units, shift down 1 unit, horizontal reflection, horizontal stretch by a factor of 2. E) None of the above In addition to choosing the correct option above, identify the period, phase shift and amplitude of the function, and sketch one period of the graph.
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