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Find a, b and c for the function f(x) = a sin (bx - c) such that the graph of f match the figure.

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Find a, b and c for the function f(x) = a sin (bx - c) such that the graph of match the figure.

asked Jan 9, 2015 in TRIGONOMETRY by anonymous

1 Answer

0 votes

Step 1 :

The graph of the function is in the form of ,

where image is amplitude, image is the period and image is the shift along the image- axis.

Step 2 :

Observe the graph.

The difference between the maximum height and the minimum height is twice of the amplitude of the function.

image

image

The amplitude of the function is image.

From the graph, the sine curve starts downwards from the origin.

Thus, the amplitude of the function is image.

Step 3 :

Period of the function is image.

The sine function completes one half of the cycle between the times at maximum height and minimum height.

image

Then Period of the function is image.

image

Step 4 :

image is the shift along the image- axis.

Observe the graph of the function, there is no shift along the image- axis.

image.

Thus, the values of image, image, and image.

Solution :

The values of image, image, and image.

answered Feb 25, 2015 by lilly Expert

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