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g is related to a parent function f (x) = sin (x) or f (x) = cos (x).

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g is related to a parent function f (x) = sin (x) or f (x) = cos (x).

(a) Describe the sequence of transformations from f to g.

(b) Sketch the graph of g.

(c) Use function notation to write g in terms of f.

g (x) = sin (4x - π)

asked Jan 9, 2015 in TRIGONOMETRY by anonymous

2 Answers

0 votes

(a) The parent function is

Compare it to .

.

Amplitude = 1

Period

Find the left and right end points of one cycleby solving the equations image and image.

The graph og g is obtained by a horizontal shrink of four and one cycle of g corresponding to the interval .

Graph:

.

answered Jan 21, 2015 by david Expert
0 votes

(b) Graph of .

Amplitude = 1

Period

Make a table to find the ordered pairs that satisfies equations. 

   x

 

y

(x, y)

Draw the coordinate plane.

Plot the points found in the table and connect the curve.

Graph of .

.

(c) write the function g in terms of f.

image .

Solution :

(c)image.

answered Jan 21, 2015 by david Expert

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