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Select the correct statements in the passage.
Hillary's teacher asked her to write a description of the transformations to the parent cosine function that would result in this function.
h(x) = -3cos(21 – 7) + 4
Which statements in her description are true about function h?
To create the graph of function h, the graph of the parent function is horizontally compressed by a factor of 2. Then it undergoes a phase shift left 2 units. Next it is
rof.
vertically compressed by a factor of -3 and vertically shifted up 4 units
The period of function h is half the period of the parent function, and it has an amplitude 3 units greater than that of the parent function

Select The Correct Statements In The Passage Hillarys Teacher Asked Her To Write A Description Of The Transformations To The Parent Cosine Function That Would R class=

Sagot :

theman453123

Answer:

The period of function h is half the period of the parent function

vertically shifted up 4 units

vertically compressed by a factor of -3

Step-by-step explanation:

ashishdwivedilVT

The steps involved in plotting the graph  [tex]h = 3cos 2x +4[/tex] were thoroughly discussed.

Given function is:

[tex]h(x) = -3cos(2x-\pi )+4\\[/tex]

What is a function?

The function is a rule that relates two variables.

As we know that

cos(-α) =cos α

So, [tex]h(x) = -3cos(\pi -2x)+4[/tex]

Again, we know that

cos(π-2x) = -cos 2x

So, [tex]h = 3cos 2x +4[/tex]

So, we have to plot the graph [tex]h = 3cos 2x +4[/tex].

Step1: Plot the graph for cos x

Step2: Plot the graph for cos2x, for this replace each x on the graph of cos x by x/2.

Step3: For 3cos2x, replace the range [-1, 1] by [-3,3].

Step4: For 3cos2x + 4, shift the graph 4 units up.

Find the attached graph to understand better.

Hence, The steps involved in plotting the graph  [tex]h = 3cos 2x +4[/tex] were thoroughly discussed.

To get more about graphs visit:

https://brainly.com/question/17075439

View image ashishdwivedilVT
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