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:
When we simplify the problem we get 33/8
Answer:
The answer to your question is these lines are not perpendicular.
Step-by-step explanation:
Data
A (4, 2)
B (-1, 4)
slope = m = 4
Perpendicular lines mean that these lines cross and form an angle of 90°. Also, the slope of perpendicular lines is negative reciprocals.
Process
1.- Find the slope of the second line and compare it to the slope given.
slope = 
Substitution
slope = 
Simplification and result
slope = 
-2/5 is not a negative reciprocal of 4, so these lines are not perpendicular.
Answer:
Option A.
Step-by-step explanation:
The given matrix is
![\left[\left.\begin{matrix}4 & 5\\ 7 & -4\end{matrix}\right|\begin{matrix}-16\\ 23\end{matrix}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cleft.%5Cbegin%7Bmatrix%7D4%20%26%205%5C%5C%207%20%26%20-4%5Cend%7Bmatrix%7D%5Cright%7C%5Cbegin%7Bmatrix%7D-16%5C%5C%2023%5Cend%7Bmatrix%7D%5Cright%5D)
We need to find the system of equations which is represented by the matrix.
In the given matrix first row represents the first equation and second row represents the second equation of the system of equations.
Let two variables are x and y.
First column represents the coefficients of x and second column represents the coefficients of y.
Numbers on the right side of the matrix represents the numbers which are right side of the equations.
Now, the required equations are
Therefore, the correct option is A.
