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8090 [49]
3 years ago
12

Describe the transformation required to obtain the graph of the given function from the basic trigonometric graph.

Mathematics
1 answer:
Alik [6]3 years ago
6 0

Answer:

Option d

Step-by-step explanation:

If the graph of the function y=cf(x) +b  represents the transformations made to the graph of y= f(x)  then, by definition:

If  0 then the graph is compressed vertically by a factor c.

If  |c| > 1 then the graph is stretched vertically by a factor c.

If c  then the graph is reflected on the x axis.

If b> 0 the graph moves vertically upwards.

If b the graph moves vertically down

In this problem we have the function y=cscx -9 and our parent function is y = cscx

therefore it is true that c =1  and b =-9 < 0

Therefore the graph of y=cscx is not stretched vertically and is not reflected.  however as b then the graph moves vertically 9 units down. <u><em>Observe the image</em></u>

The answer is <em>"vertical translation down 9 units"</em>

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