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Using the parent function, explain how we can graph g(x) = -2cos( px + 2p/3) using transformation.

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Specify the amplitude, period and phase shift for g(x) = -2cos( px + 2p/3). Graph for
2 periods.
asked Aug 17, 2015 in PRECALCULUS by anonymous

1 Answer

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Step 1:

The equation is image.

Compare the above equation with image.

Here image, image, image, .

Amplitude is image.

Period is image.

Frequency is image.

Phase shift is image.

Graph the function image using following transformations :

Shrink the graph of horizontally by a factor of image units.

Shifts the graph of function image by image units to the left.

Stretch the graph of function image vertically by a factor of 2 units.

Reflects the graph of the function image about x-axis.

Sketch the graph of image through these points, continue the pattern to complete two cycles.

Step 2:

Graph :

Graph the function image :

image

Solution:

Graph of the function image is

image.

answered Aug 17, 2015 by lilly Expert
edited Aug 17, 2015 by lilly

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