Question

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

Answer 1

Answer D.

Explanation:

Vertical stretch by a factor of 9 and a horizontal shrink by a factor of 1/pi

Answer 2

Option D is correct .i.e., Vertical translation down 9 units

Explanation:

Given Function is y = cosec x - 9

Here basic function or parent function is y = cosec x

1. When constant ' a ' is added to to parent function or basic function then the function is translated vertically upward by a units.

2. When constant ' a ' is subtracted from parent function or basic function then the function is translated vertically downward by a units.

Therefore, Option D is correct .i.e., Vertical translation down 9 units