For this case we have that the main function is given by:

We apply the following transformation:
Vertical displacements:
Assume k> 0
To graph y = f (x) - k, move the graph k units down.
For k = 3 we have:

Answer:
when the function is changed to f (x) - 3 the change that will occur is:
Vertical displacement 3 units down.
Answer:

Step-by-step explanation:
She has a budget of $150, which means that she can spend no more than that amount. Therefore, use the less than or equal to symbol: ≤
Each folder is $2.15, so you are going to multiply: 2.15 × f
Each notebook is $4.60, so you will multiply: 4.6 × n
You want to know how many notebooks and folders you can buy for $150, so add the notebooks and folders.
Make the equation:

:Done
Add 8 to 46. Then divide 54/8 to get 6.75 and t=6.75
We have the formula (sin x)^2 + (cos x)^2 = 1;
Then, sin α =

cos β =

We apply the formula sin ( α + β ) = sin α x cos β + sin β x cos α = (3/5)x(4/5) + (4/5)x(3/5) = 12/25 + 12/25 = 24/25;
Answer:
Total number of ways to select all sstudent to make assignment = 10×36×70×1 = 25200
Step-by-step explanation:
We have given number of students = 10
These 10 students are assigned to four dorm rooms a single, a double, a triple and a quad
So number of ways to assigned single student 
Now left student = 10 -1 = 9
So number of ways to assigned double student 
Now left student = 9-2 = 7
So number of ways to assigned triple student
=70
Now left student = 7 - 3 = 4
So number of ways to assigned quad student 
So total number of ways to select all sstudent to make assignment = 10×36×70×1 = 25200