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
Aleonysh [2.5K]
2 years ago
11

100 points!!! Pre calculus. I need helpppppppppp

Mathematics
1 answer:
Fantom [35]2 years ago
6 0

Answer:

We have function,

y = 3 - 6 \sin {}^{} (2x +  \frac{\pi}{2} )

Standard Form of Sinusoid is

y =  - 6 \sin(2x +  \frac{\pi}{2} )  + 3

Which corresponds to

y = a \sin(b(x + c))  + d

where a is the amplitude

2pi/b is the period

c is phase shift

d is vertical shift or midline.

In the equation equation, we must factor out 2 so we get

y =  - 6(2(x +  \frac{\pi}{4} )) + 3

Also remeber a and b is always positive

So now let answer the questions.

a. The period is

\frac{2\pi}{ |b| }

\frac{2\pi}{ |2| }  = \pi

So the period is pi radians.

b. Amplitude is

| - 6|  = 6

Amplitude is 6.

c. Domain of a sinusoid is all reals. Here that stays the same. Range of a sinusoid is [-a+c, a-c]. Put the least number first, and the greatest next.

So using that<em> rule, our range is [6+3, -6+3]= [9,-3] So our range</em> is [-3,9].

D. Plug in 0 for x.

3 - 6 \sin((2(0) +  \frac{\pi}{2} )

3 - 6 \sin( \frac{\pi}{2} )

3 - 6(1)

3 - 6

=  - 3

So the y intercept is (0,-3)

E. To find phase shift, set x-c=0 to solve for phase shift.

x +  \frac{\pi}{4}  = 0

x =  -  \frac{\pi}{4}

Negative means to the left, so the phase shift is pi/4 units to the left.

f. Period is PI, so use interval [0,2pi].

Look at the graph above,

You might be interested in
What is the equation of the line that passes through the point (5, 4) and has a slope<br> of<br> 6/5
Sati [7]

Answer:

y=6/5x-2

Step-by-step explanation:

y=mx+C

Y=6/5X+C

4=6+c

c=-2

y=6/5x-2

5 0
2 years ago
A principal of $1800 is invested at 4% intrest, compounded annually. How much will the investment be worth after 8 years?
zavuch27 [327]
So the equation would be 4\100 of 1800 every year = (4/100x1800)x8 years = 72x8 years = $576. Best of luck!
5 0
3 years ago
23 yd
stealth61 [152]
72.22 I think I’m sorry if I’m wrong
4 0
3 years ago
Read 2 more answers
what is the opportunity cost (in civilian output) of a defense buildup that raises military spending from 4.0 to 4.3 percent of
Sati [7]

Answer:

hdhdhdhrheheheheheehhdhdududueueehheb

8 0
2 years ago
Simplify the number using the imaginary unit I. sqrt-25<br> a.-5t<br> b.5i<br> c.-5<br> d.5
pentagon [3]
The answer to this question is: B;5i
4 0
3 years ago
Read 2 more answers
Other questions:
  • Describe how the formula to find perimeter of a rectangle is an application of the Distributive property
    8·1 answer
  • WILL GIVE BRAINLIEST HELP PLEASE
    9·1 answer
  • A spring-loaded dart gun is used to shoot a dart straight up into the air, and the dart reaches a maximum height of 24 meters ab
    11·1 answer
  • What’s the next three numbers after 1, -3.9,27
    12·1 answer
  • In triangle FGH, is an angle bisector of and perpendicular to . In triangle F G H, angle F G H is cut by perpendicular bisector
    10·2 answers
  • IF YOU $80 AND THEN GET $20 MORE,WHAT IS THE PERCENTAGE
    8·1 answer
  • Please help on both! And please put answer and not a website!
    13·1 answer
  • Subject:Mathematics ​
    13·2 answers
  • Please help me with this.....​
    9·1 answer
  • Only the a) part please!!!!
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!