# Too Easy: To produce the graph of the function Y=0.5cot(0.5x)

To produce the graph of the function y=0.5cot(0.5x), what transformations should be applied to the graph of the parent function y=cot(x)? We have prepared the options and answers on this subject for you. Here you go, let’s examine it together.

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## To produce the graph of the function Y=0.5cot(0.5x)

To produce the graph of the function y=0.5cot(0.5x), what transformations should be applied to the graph of the parent function y=cot(x)?

• a) a horizontal compression to produce a period of pi/2 and a vertical compression
• b) a horizontal compression to produce a period of pi/2 and a vertical stretch
• c) a horizontal stretch to produce a period of 2pi and a vertical compression
• d) a horizontal stretch to produce a period of 2pi and a vertical stretch

C. A horizontal stretch to produce a period of and a vertical compression.

Step-by-step explanation:

• We are given the parent function as • It is given that, transformations are applied to the parent function in order to obtain the function i.e. • That is, we see that,
• The parent function is stretched horizontally by the factor of which gives the function .
• Further, the function is compressed vertically by the factor of which gives the function .
• Now, we know,
• If a function f(x) has period P, then the function cf(bx) will have period .
• Since, the period of is , so the period of is = We get option C is correct. That’s it to produce the graph of the function Y=0.5cot(0.5x). We hope you understand. We wish you pleasant work.