The answer is 32.07. Rounded to the nearest tenth is 32.1
Given the function:

Let's find the amplitude and period of the function.
Apply the general cosine function:

Where A is the amplitude.
Comparing both functions, we have:
A = 1
b = 4
Hence, we have:
Amplitude, A = 1
To find the period, we have:

Therefore, the period is = π/2
The graph of the function is shown below:
The parent function of the given function is:

Let's describe the transformation..
Apply the transformation rules for function.
We have:
The transformation that occured from f(x) = cosx to g(x) = cos4x using the rules of transformation can be said to be a horizontal compression.
ANSWER:
Amplitude = 1
Period = π/2
Transformation = horizontal compression.
Answer:
g(x) = x² - 4 is already in form of a variable, I.e., x
g(4x) takes another variable, I.e., 4x
Same as before, 4x takes over x:
=> g(4x) = (4x)² - 4
- <em>(</em><em>ax</em><em>)</em><em>²</em><em> </em><em>=</em><em> </em><em>a</em><em>²</em><em>x</em><em>²</em><em>,</em><em> </em><em>where</em><em> </em><em>a</em><em> </em><em>is</em><em> </em><em>some</em><em> </em><em>arbitrary</em><em> </em><em>constant</em><em>.</em><em> </em>
<h3><u>Answer</u><u>:</u> </h3>
=> g(4x) = 16x² - 4
OR
=> g(4x) = 4{4x² - 1}
Answer: Not enough information
Step-by-step explanation:
We need to know the measure of angle AED, but there is no way to find it, so therefore there is not enough information.