What is the general equation of a sine function with an amplitude of 6, a period of StartFraction pi Over 4 EndFraction, and a horizontal shift of StartFraction pi Over 2 EndFraction?
y = sine (8 (x minus StartFraction pi Over 2 EndFraction))
y = 8 sine (4 (x minus StartFraction pi Over 2 EndFraction))
y = 6 sine (8 (x minus StartFraction pi Over 2 EndFraction))
y = 6 sine (8 x) + StartFraction pi Over 2 EndFraction

Answer:

C: [tex]y = 6 \sin (8(x-\frac{\pi}{2} ))[/tex]

Step-by-step explanation:

Amplitude is changed by multiplying the entire trig function by a number, by default the amplitude is 1, so multiplying by 6 is necessary; eliminate A and B

Horizontal shift is going through the x axis, so it must be subtracted from the x value. This is only seen in choice C of the remaining answers.

Calculating the period isn't necessary because we already found the right answer but in case you need it in the future; the period is by default 2pi, to get to pi/4, it had to be 8 times smaller, so multiplying x and translations on x by 8 will get you the correct period.

The General equation of a sine function is f(x) = 6·sin(8(x -π/2)).

The sine function can be defined as the ratio of the length of the opposite side to that of the hypotenuse in a right-angled triangle. The sine function is used to find the unknown angle or sides of a right triangle.

Here, Amplitude = 6, P=π/4, and S=π/2

A transformed sine function with amplitude A, period P, and horizontal shift S can be written as ...

 f(x) = A · sin(2π/P(x -S))

 f(x) = 6·sin(8(x -π/2))

The horizontal shift is equal to two full periods, so the shifted function is indistinguishable from the unshifted function.

Thus, the General equation of a sine function is f(x) = 6·sin(8(x -π/2)).

Learn more about Sine Function from:

https://brainly.com/question/12015707

#SPJ2

At Walmart™ you can buy 8 hot dog buns for $2. At Costco™ you can buy the same hot dog buns, but they are $5.60 for 16 hot dog buns. Using two tables, decide who has the better deal (who sells 1 hot dog bun for the cheaper price).

i only need the awnser for questions 4 and 2 because i dont get them

i need help please i did not understand

Can someone help me? An explanation is great too! Yall can also give me some kind of formula. Tysm

If a quadrilateral has these known angle degrees: 35, 35 and 145, what are the degrees of the fourth angle?

3p + 10 = 2p + 21

a. 15
b. 17
c. 11
d. 21​

write a mathematical equation and calculate the area of the irregular polygon

yo im back whats 2+2

Which statement best describes the association between variable X and variable Y?

perfect negative association

moderate positive association

no association

strong negative association

Solve and express your answer in both
scientific and standard notation.
.000075 + (1.3 x 10-5)

Liam had 5 7/8 cups of flour. He used 2 3/8 cups of flour to make bread. How much flour does Liam have left?

Is Urgent ......The satisfaction that consumers get from their purchases is known as what?
A. Materialism
B. Marginalism
C. Subjectivity
D. Utility

Suppose you roll a special 34-sided die. What is the probability that the number rolled is a "1" OR a "2"?

Find the volume.
PLEASE HELP I WILL GIVE BRAINLIEST TO THE RIGHT ANSWER

help pleaseee need asap

Find the total amount due on a loan of $650 at the annual simple interest rate 5% at the
end of 6 months

Identify whether the following equation has a unique solution, no solution, or infinitely many solutions.

4( − 11) = 15 − 4

A
unique solution

B
no solution

C
infinite solutions

I will mark branliest if correct

what is the range of magazines sold?


please answer will give brainliest

The hypotenuse of a certain triangle is 5 units long and one leg is 3 units long
Did the area of the triangle

PLEASE HELP ASAP REAL ANSWERS ONLY OR WILL BE DELETED! 20 PTS!!

I just need someone to do this for verification of my work:


What is the volume of the composite figure if both the height and the diameter of the cylinder are 2.5 feet? Give the exact answer and approximate to two decimal places.

Use graphs and tables to find the limit and identify any vertical asymptotes of the function.

limit of 1 divided by the quantity x minus 10 squared as x approaches 10

PLEASE ASNWER ASAP WITH WORK IN A TABLE PLEASE

(-5,0) with a rotation of 90° counterclockwise

If you were flipping a coin, and needed to get 2 heads in a row, what is the probability of getting two heads in a row. Use your probability tree to help. /

Mrs Lee is setting up chairs for a band concert. The front row will have ten chairs. Thereafter each row will have four more chairs than the front row in front of it. Mrs Lee knows that there will be five rows. How many chairs will she need?

Help me please I need the help

The residents of a certain dormitory have collected the following data: People who live in the dorm can be classified as either involved in a relationship or uninvolved. Among involved people, 15 percent experience a breakup of their relationship every month. Among uninvolved people, 30 percent enter into a relationship every month. What is the steady-state percentage of residents who are uninvolved?

Solve for x
A) -12
B) 8
C) 5
D) 7

Kevin has 6 pounds of ham to make 12 sandwiches. He puts the same amount of ham on each sandwich. Which statement about Kevin’s sandwiches is true?

1.Each sandwich has one half pound of ham.
2. Each sandwich has 1 pound of ham.
3. Each sandwich has 2 pounds of ham.
4. Kevin has one half pound of ham left over.

Plz help me well mark brainliest if correct!!