1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
butalik [34]
3 years ago
9

Which transformation should be applied to the graph of the function y=cot(x) to obtain the graph of the function y=6 cot(3x-pi/2

)+4

Mathematics
2 answers:
ANTONII [103]3 years ago
7 0

Answer:

I'm actually fairly certain it's the last option... lmk if you need more of an explanation

Step-by-step explanation:

hope this helped!

Anton [14]3 years ago
5 0

Answer:

The correct answer is the first one.

Step-by-step explanation:

Let's analyse the effect of each modification in the function.

The value 6 multiplying the cot function means a vertical stretch.

The value of 3 multiplying the x inside the function is a horizontal compression, which causes the period to be 3 times lower the original period.

The original period of the cotangent function is pi, so the horizontal compression will make the period be pi/3.

The value of -pi/2 inside the cotangent function normally causes a horizontal shift of pi/2 to the right, but the x-values were compressed by a factor of 3 (horizontal stretch), so the horizontal shift will be 3 times lower: (pi/2) /3 = pi/6

And the value of 4 summing the whole equation is a vertical shift of 4 units up.

So the correct answer is the first one.

You might be interested in
Given a graph for the transformation of f(x) in the format g(x) = f(x) + k, determine the k value.
dimaraw [331]

Answer:

4

Step-by-step explanation:

g(x) is the graph of f(x) shifted up 4 units.

5 0
1 year ago
What does a irrational number look like
julia-pushkina [17]

A irrational number is a number that can't be expressed as a ratio of two whole numbers. That's it.

For examples (in increasing order of difficulty)

1 is a rational number because it is 1/1

0.75 is a rational number because it is equal to 3/4

2.333... (infinite number of digits, all equal to three) is rational because it is equal to 7/3.

sqrt(2) is not a rational number. This is not completely trivial to show but there are some relatively simple proofs of this fact. It's been known since the greek.

pi is irrational. This is much more complicated and is a result from 19th century.

As you see, there is absolutely no mention of the digits in the definition or in the proofs I presented.

Now the result that you probably hear about and wanted to remember (slightly incorrectly) is that a number is rational if and only if its decimal expansion is eventually periodic. What does it mean ?

Take, 5/700 and write it in decimal expansion. It is 0.0057142857142857.. As you can see the pattern "571428" is repeating in the the digits. That's what it means to have an eventually periodic decimal expansion. The length of the pattern can be anything, but as long as there is a repeating pattern, the number is rational and vice versa.

As a consequence, sqrt(2) does not have a periodic decimal expansion. So it has an infinite number of digits but moreover, the digits do not form any easy repeating pattern.

5 0
2 years ago
Which formula is as same as Pythagoras's formula........???
Marrrta [24]
The distance formula is synonymous to Pythagorean's theorem.
4 0
3 years ago
Answer?<br>4a/5(10a-25b)
Westkost [7]

Answer:

I believe when you simplify the expression you will get 8a^2 - 20ab. I believe this is the answer. If anything better comes up then please take it because im not sure. Hope I helped!


8 0
3 years ago
The sum of twice a and 4<br>Sorry if this isnt much info. That's all what was written in the paper
JulijaS [17]
The way you wrote it could have 2 meanings:

Sum of twice a and 4 could be:
2a+4 or 2(a+4) which will give different results.

In the first case:
2a+4
a= 4/2
a= 2
So the sum would be 2*2+4 = 4+4 = 8

In the second case:
2(a+4) = 2a + 2*4 = 2a + 8
a= 8/2
a=4

2(4+4) = 2*8 = 16
5 0
3 years ago
Other questions:
  • 40 cubes all together _stacks 40÷_=_
    5·1 answer
  • What is the capacity of the cube in millimeters shown in the picture????
    13·1 answer
  • Make a table with the domain of {2,3,4,5,6} and draw a graph of the absolute value function y = 2|x-4| + 3.
    5·2 answers
  • Kali has a 20 foot ladder that she wants to use to get her cat out of a tree. She puts the base of the ladder 5 feet away from t
    7·1 answer
  • Please help me with my question!
    11·2 answers
  • Geometry question please help
    13·1 answer
  • Please help !! Will grant brainliest
    5·1 answer
  • Can someone help me with these
    10·1 answer
  • Is the point (2,4) a solution of y &lt;= -4x + 12?<br> HELP ASAP
    6·1 answer
  • Help!!!! This is due soon!!!! <br><br> Show all your work along with the answer!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!