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UNIT 7 : TRIGONOMETRIC FUNCTIONS
LESSON 5
: TRANSFORMATIONS HOMEWORK QUESTIONS
Quick Review:
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![Text Box: In summary, to graph y = a sin [k(x – d)] + c from the graph of y = sin(x), follow these ideas:
· If a < 0, we have a reflection in the x-axis
· If k < 0, we have a reflection in the y-axis
· If | a | < 1, we have a vertical compression , factor | a |
· If | a | > 1, we have a vertical stretch, factor | a |
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· If | k | < 1, we have a horizontal stretch, factor 1/k
· If | k | > 1, we have a horizontal compression, factor 1/k
· The value of d gives the horizontal translation (phase shift)
· The value of c gives the vertical translation (shift)](./transhw_files/image072.gif)
Homework
questions: (Solutions below)
1. State the amplitude, period, phase shift,
domain and range for each of the following trigonometric functions. Draw the graph of at least
one
complete period for each.
2. The graph below shows a sine function of the form y = a sin k(x – d) + c. find the values of the parameters a,k, d, c.
3. The graph below shows a sine function of the
form y = a cos k(x
– d) + c. find the values
of the parameters a,k, d, c.
Solutions:
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