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23 November, 11:21

Describe the transformation required to obtain the graph of the given function from the basic trigonometric graph.

y=csc (x) - 9

a.

Vertical translation up 9 units

c.

Vertical stretch by a factor of 9

b.

Horizontal translation to the right 9 units

d.

Vertical translation down 9 units

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Answers (1)
  1. 23 November, 13:43
    0
    A. To go up 9 units add 9 so

    f (x) = csc (x)

    C. cf (x) changes amplitude so

    f (x) = 9csc (x) - 9

    B. f (x-c) shifts to the right so

    f (x) = csc (x-9) - 9

    D. f (x) - c shifts down

    f (x) = csc (x) - 18
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