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
irga5000 [103]
3 years ago
11

Which of the following is true for f(x)= -2sin(x)-3?

Mathematics
2 answers:
serious [3.7K]3 years ago
5 0

Let's write the general form of the sine curve:

f(x)=AsinB(x+C)+D, where,

  • A is the amplitude. Also, if A is negative, curve reflects about x axis
  • B is the compression/stretching factor. It changes the period when it is a value other than 1.
  • C is the phase shift. It translates curve left or right. Negative value shifts right and positive value shifts left.
  • D is the vertical shift. It translates curve up or down. Negative value shifts down and positive value shifts up.

Let's check the 4 choices.

A.

Since this curve's A is -2, its amplitude is 2 and range is from -2 to 2. BUT since D value is -3, it shifts vertically 3 units down making the range from -1 to -5. Clearly choice A is not true.

B.

This graph is the graph of f(x)=-2sin(x) shifted 3 units DOWN since D is negative. This choice isn't true.

C.

Because of the - (minus) sign in front of the function, the function is reflected about x-axis, but amplitude doesn't change. Since A value is 2, amplitude is 2. This is true.

D.

Period depends on the B value. Here, B value is 1, so period is normal as the parent function of a sine curve, which is 2\pi, NOT 4\pi. So this is not correct.


ANSWER: C is true


Vinvika [58]3 years ago
4 0

Answer: C

Step-by-step explanation: I just did it!

You might be interested in
Over time, Bailey has buried 6 large bones and 9 small bones in a hole. What is the ratio of small bones to large bones in the h
Wewaii [24]

Answer:

3:2

Step-by-step explanation:

to write a ratio, we can do ?:? in order. for example, 5 big shops to 10 small shops would be 5:10 (we are going to simplify it later) You always have to put the ratio numbers in order like they are in the question. In this case, small bones : big bones. We get 9:6. We can then divide both sides by a common factor, in this case 3. The end result is 3:2. Hope this helps!

8 0
3 years ago
Read 2 more answers
Use the rule ƒ(x) = -2x + 3 to complete the statement. When x = 5, ƒ(x) = _____.
Mazyrski [523]

Answer:

-7

Step-by-step explanation:

To solve this equation, plug your x value in and simplify.

-2x + 3

-2(5) + 3

-10 + 3

-7

3 0
3 years ago
Read 2 more answers
Complete the following proof. Prove: In an isosceles triangle, two medians are equal.
Paraphin [41]

Answer:

Midpoint of AB              = (0 + 2a / 2 , 0 + 0 / 2) = (2a / 2 , 0 / 2) = (a,0)

x coordinate of point c = a

                                  N = (0 + a / 2 , 0 + b / 2) = (a / 2 , b / 2)

                                  M = ( 2a + a / 2 , 0 + b / 2) = (3a / 2 , b / 2)

                                MA = √(3a / 2 - 0)² + b / 2 - 0)²

                                       = √(3a / 2 )² + (b / 2) = 9a² / 4 + b² / 4

                                NB = √(a / 2 - 2a)² + (b / 2 - 0 )²

                                      = √( a / 2 - 4a / 2)² + (b / 2 - 0)²

                                      = √(-3a / 2)² + (b / 2)² = √9a² / 4 + b² / 4

Step-by-step explanation:

I tried my best hope its correct :0

8 0
3 years ago
What is x?? I'm so confused!
LiRa [457]

Answer:

x = 468%

Step-by-step explanation:

I see a proportion here.

we want to solve for the variable x in the proportion:

18% / (2 weeks) =   ( x %) / (52 weeks)

here we should multiply 52 to boths sides

(52 weeks) * 18%  / (2 weeks) =   x %

26  * 18% =  x %

x = 468 %

3 0
3 years ago
A student correctly answered 35 of the 40 questions on a mathematics exam. What percent did she answer correctly?
GrogVix [38]

Answer:

87.5%

Step-by-step explanation:

To find a percentage of questions correct divide the number of correct answers by the total number of questions and then multiply that by 100.

(35/40)100=87.5

7 0
2 years ago
Other questions:
  • Store A is advertising a sale that will reduce prices on all merchandise by 15%. Store B is advertising a sale that will reduce
    11·2 answers
  • What property is used to show that 3(4 – 6) = 12 – 18? What property is used to show that 3(4 – 6) = 12 – 18?
    7·2 answers
  • In an effort to estimate the mean amount spent per customer for dinner at a major Atlanta restaurant, data were collected for a
    13·1 answer
  • According to the Centers for Disease Control and Prevention (February 18, 2016), 1 in 3 American adults don’t get enough sleep.
    15·1 answer
  • If x is 5 what is 2x​
    12·2 answers
  • Given (0,1) and (2, 4). The slope between the two points is The equation of the line through the two points isAn air balloon beg
    14·1 answer
  • :)will mark brainliest!!!
    7·1 answer
  • HELP TIMED TEST!!!
    5·1 answer
  • ? QUESTION
    12·1 answer
  • 3) Stella drove for 300 miles to Washington D.C. and it took her six
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!