A sine function has the following key features: Period = 4pi Amplitude = 2 Midline: y = 3 y-intercept: (0, 3) The function is a reflection of its parent function over the x-axis.
did I get this right?
Answers
The sine function is:
f(x) = -2*sin(x/2) + 3.
So you got it almost correctly, you only forgot to apply the reflection.
How to get the sine function?We start with the general sine function:
[tex]a*g(w*x + p) +m[/tex]
where g(x) = sin(x)
a is the amplitude, which we know is equal to 2.w depends on the period.M is the midline, which we know is equal to 3.p is the phase shift, because the y-intercept is (0, 3) we know that:f(0) = 2*sin(w*0 + p) + 3 = 3
= 2*sin(p) + 3 = 3
Then we must have p = 0, so there is no phase shift.
We also know that we have a reflection over the x-axis of the parent sine function, we would actually have:
f(x) = 2*-sin(wx) + 3
Finally, to get the value of k we know that the period of the general sine function is 2*pi, while here is 4*pi, then we must have w = 1/2 to get the correspondent correction, so the function is:
f(x) = -2*sin(x/2) + 3.
This is almost the same thing that you got in the graph, where you only forgot to apply the reflection over the x-axis of the parent function.
If you want to learn more about sinusoidal functions, you can read:
https://brainly.com/question/18055768
Answer:
I know this is a year late, but I took this test it was quite challenging so here is my answer for you I took a picture of the graph because it's hard to graph without any reference pictures
hope this helps
Related Questions
Samuel is offering a pair of boots with an original price of $80.Store A is offering a 25% discount off the original price of all boots. StoreB is offering a $10 discount off the original price of all boots.
Answers
If f(x) = 7, then x = ______ .
Answers
Answer:
-10
Step-by-step explanation:
On a graph, f(x) means the same thing as y. So if y=7, then x=-10
-2(x + y)2 for for x =-3, y = 2 with steps
Answers
Step-by-step explanation:
-2(-3+2)2
(-2×-3)+(-2×2)2
(6-4)2
2(6-4)
(2×6)+(2×-4)
12-8=4
-4=2/3 b
What would be the best first step to solving the
equation in one step
Answers
What is the area of the figure below?
15 in 2
20 in 2
30 in 2
25 in 2
Answers
Answer:
25 [tex]in^{2}[/tex]
Step-by-step explanation: we can move the little triangle on the side to the missing part of the square and it says the length of the little triangle is 2 so we can do 2+3 since the height of the square with the missing side is 3. then we end up with the height being 5 and the base being 5. we know that A=bh so we can do A=5x5 and get 25 in squared
pls mark me branliest!!
Answer:
25ft2
Step-by-step explanation:
The cost of DVDs will grow at a rate of $1.40 each year. In 2013, a new DVD cost $17.99. Let z be the number of years since 2013.
Which function models the price of a new DVD 2 years after 2013?
O f (z) - 17.99 + 1.0147
O f (2) - 17.99 +1.42
f (x) – 17.99(1.4)
O f(z) – 17.99(1.014)
Answers
Answer:
A, because A is the answer(I have my reasons) so A.
What two numbers are exactly four units away from 6
Answers
Answer:
2 and 10
Step-by-step explanation:
6+4=10, and 6-4=2.
The number four units away from 6 are 2 and 10 and are represented below the number line.
What is a number line?The number line is a straight line containing numbers arranged at equal segments or periods throughout its duration.
A horizontal number line is the most common representation and can be extended infinitely in any direction.
Given that,
Four units away from 6
Four units higher →
6 + 4 = 10
Four units lower →
6 - 4 = 2
In the below number line, it is shown diagrammatically.
Hence "The number four units away from 6 are 2 and 10 and are represented below the number line".
To learn more about the number line,
https://brainly.com/question/13189025
#SPJ5
Need answer ASAP please help!
Answers
9514 1404 393
Answer:
31 square inches
Step-by-step explanation:
You can divide the shape into pieces several ways. The total area will be the sum of the areas of the pieces.
If we draw a horizontal line across the figure 2 inches up from the bottom, the figure is divided into a triangle and two rectangles.
The triangle has a base of 8 -3-2 = 3 inches, and a height of 4 -2 = 2 inches. Its area is ...
A = (1/2)(3 in)(2 in) = 3 in²
The rectangle below the line has a base of 8 inches and a height of 2 inches. Its area is ...
A = bh = (8 in)(2 in) = 16 in²
The rectangle above the line has a base of 3 inches and a height of 4 inches. Its area is ...
A = bh = (3 in)(4 in) = 12 in²
Then the total area of the figure is ...
(3 + 16 + 12) in² = 31 in² . . . . the area of the figure
Muriel says she has written a system of two linear
equations that has an infinite number of solutions. One
of the equations of the system is 3y = 2x - 9. Which
could be the other equation?
Answers
Answer:
The other equation could be: 6y = 4x - 18
Step-by-step explanation:
System with infinite number of solutions:
A linear system has an infinite number of solutions when one equation is a multiple of another.
One of the equations of the system is 3y = 2x - 9. Which could be the other equation?
A multiple of 3y = 2x - 9
Multiplying by 2, the other equation could be: 6y = 4x - 18
Answer:
B: y=2/3 x -3
Step-by-step explanation:
I got it right on Edge
How many times larger is 9 x 10^4 than 3 x 10^2?
Answers
Answer: [tex]300[/tex] [tex]times[/tex]
Step-by-step explanation:
Please help :) I'm confused on this question.
Answers
0+3
3
3-4
-1
Hope this helped!
5(y +2/5) = -13
type the answer and how you got your answer and the best answer will get brainlist answer PLEASE IM BEGGING YOU TO HELP MEE
Answers
Answer:
y=-15
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
[tex]5(y + \frac{2}{5} ) = - 13 \\ 5y + 2 = - 13 \\ 5y = - 13 - 2 \\ y = \frac{ - 15}{5} \\ y = - 3[/tex]
therefore the value of y is equal to -3
<7 is a complement of <8 and m<7 = 18 degrees. Find m<8.
Answers
72
Supplement is
162
ther are 9 thirds in 3 ones a multiply and divide equashon
Answers
Answer:
That is a division equation.
Step-by-step explanation:
Which expression is equal to x + (f+g)? (1 point)
Answers
Answer:
x + f(x) + g(x)
Step-by-step explanation:
(f+g) = f(x) + g(x)
Therefore, x + (f+g) = x + f(x) + g(x)
If you are given equations to go with f(x) and g(x), you would plug in those equations to the above expression then combine like terms to find the fully simplified expression equal to x + (f+g).
How do you solve an inequality when there is a negative number such as -8x is greater than 72
Answers
Answer:
When you divide both sides of an inequality, you need to flip the inequality sign.
Step-by-step example:
-8x > 72
Divide both sides by -8
x < -9
A triangle has side lengths 4.9cm 7.3cm and 8cm the angle measures are 36 degree 64° and 80°.?
1. Acute scalene
2. Acute isosceles
3. Obtuse isosceles
4. Obtuse scalene
Pls help ASAP because I need it :(
Answers
PLS HELP!!!!!!!!!!!!!!!!!!!! Which number is divisible by both 5 and 6? A. 123,465 B. 132,640 C. 164,780 D. 184,290
Answers
A,B helps it help if you doubt used calculator
Manny buys 16 apples at the market and 8 oranges. what are the ratios of apples to oranges ?
Answers
Answer:
2:1 or 16:8
Step-by-step explanation:
Answer:
2:1
Apple: orange
Step-by-step explanation:
Divide the number of apples by the number of oranges
Alexis earns $50 a day for five days this week. Her weekly expenses are $280. How can she balance her budget?
a
increase her income $5 each day
b
increase her income $20 this week
c
decrease her expenses by $30
d
decrease her expenses by $20
Answers
Answer:
i think the answer is B
Step-by-step explanation:
Find the area of the circle. Round your answer to the nearest hundredth.
Answers
Answer:
176.71^2 in
Step-by-step explanation:
yeh
Which of these expressions is equivalent to log
(12/5)
?
O A. log (12) - log (5)
O B. 12. log (5)
O C. log (12) + log (5)
O D. log (12) log (5)
Answers
The expressions that is equivalent to log (12/5) would be A. log (12) - log (5).
What is logarithm and some of its useful properties?When you raise a number with an exponent, there comes a result.
Lets say you get
a^b = c
Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows
b = \log_a(c)
'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'
We have given an expression as ;
log (12/5)
We know that
[tex]log_a(b) - \log_a(c) = \log_a(\frac{b}{c})[/tex]
So,
log (12/5) = log (12) - log (5)
Thus, the correct option is A. log (12) - log (5)
The expressions that is equivalent to log (12/5) would be A. log (12) - log (5).
Learn more about logarithm here:
https://brainly.com/question/20835449
#SPJ2
Samir and Christian had a total of 360 marbles Samir lost 28 marbles while Christian brought 18 more marbles both of them had an equal number of marbles in the end how many marbles did Samir have at the beginning
Answers
Step-by-step explanation:
Marbles altogether = 360
Marbles Samir Lost = 28
360 - 28 = 332
Marbles Christian bought 18
332 + 18 = 350
Marbles both had in the end = 350 ÷ 2 = 175
Marbles Samir have at the beginning = 175 + 28 = 203
Answer = 203
create a story problem about a fish tank for the tape diagram below. Your story must include a fraction.
Answers
Answer:
Step-by-step explanation:
A large aquarium has a length of 84 inches. It is located in a large basement that is properly heated and ventilated. The width should be close to 1/2 the length and the height ought to be 1/6 the length. If the fish tank requires that an aerator be placed every 28 inches along the back edge, how many aerators are needed. Note: an aerator is not placed in either corner.
Width =_________________
Height= ________________
Aerators = ______________
Find the number of cubic inches of the fish tank. If an aerator will provide enough oxygen to aerate 5 cubic feet,, do you have enough aerators for the fish to live comfortably? If the answer is no, then how many aerators do you need?
What is 28% of 307
Enter your answer as a decimal in the box
Answers
Answer:
the answer is 85.96
Step-by-step explanation:
Hope this helps, =)
What is 5/8 divided by 1/4
001
001
00
100
001
00
001
IN
A
0 1
Answers
Answer:
Exact form: 5/2
Decimal form: 2.5
Mixed number form: 2 and 1/2
Step-by-step explanation:
when you divide a fraction you keep, change, flip
Equation: 5/8 ÷ 1/4
keep 5/8 the same
change the divide symbol into a multipulcation symbol
flip 1/4 the other way, so it's 4/1 (it's a whole number now)
then just multiply across
Equation now: 5/8 × 4/1
what is the answer and how
Answers
Answer:
-4°
Step-by-step explanation:
4 + 8 = 12
12 - 16 = -4
The temperature was -4 at 9pm
Solve the expression
Answers
Answer:
y - 12 = 89
y - 12 + 12 = 89 + 12
y = 101
find m<A to the nearest tenth degree
Answers
A new treatment for depression involves a one month stay on a Caribbean island and daily therapy sessions with a team of 8 professionals. A researcher knows that people with untreated depression miss an average of μ = 4.30 days of work per month (σ = 1.1). It was found that a random sample of 121 depressed individuals who underwent the new treatment missed an average of M = 4.08 days of work per month following treatment. Thus, the research question is: what is the impact of this treatment on absenteeism (i.e., days missed from work)?
Answers
Answer:
A
Step-by-step explanation: