Question

i need help please

Answer 1

Over a 24-hour period, the tide in a harbor can be modeled by one period of a sinusoidal function. The tide measures 5.15 ft at midnight, rises to a high of 10.2 ft, falls to a low of 0.1 ft, and then rises to 5.15 ft by the next midnight.



What is the equation for the sine function f(x), where x represents time in hours since the beginning of the 24-hour period, that models the situation?

Answer 2

@Vocaloid

Answer 3

@Warriorz13

Answer 4

I'm not good with math.. so..https://answers.yahoo.com/question/index?qid=20170314152922AA9i3LK

Answer 5

the period is 24 hours

to figure out what goes inside the sin function we solve

2pi/b = period

solve for b

Answer 6

Thank you @Vocaloid I'mnot good for this subject

Answer 7

so 2pi/b=p is the equation i need to put?

Answer 8

yes

you are given period (p = 24), solve for b

Answer 9

might be easier to find if we could graph this

Answer 10

if it makes it easier to see sure

it does still want an equation though

Answer 11

yeah, an equation

Answer 12

...

Answer 13

if you want to try graphing it you are more than welcome to try but you still have to do the algebra to get the actual equation


2pi/b= period, solve for b

Answer 14

i kinda forget what b is suppose to represent

Answer 15

we want to solve for b so we know what goes inside the sin function when we write it

Answer 16

i still cant find it, can i switch to a different question for now?

Answer 17

if you want to

you might be overthinking this, it's a single-variable equation so you just have to multiply/divide to isolate b

2pi/b= period

2pi/period = b, then b = 2pi/24 = pi/12

Answer 18

what is the period of the function

Answer 19

we just identify two points: where the cycle starts, where the cycle stops again, then find the distance between the two

Answer 20

so pi

Answer 21

pi is the answer?

Answer 22

yes

Answer 23

Oh, if this is part of a graded unit test I'm really not supposed to give help on these :S

Answer 24

I know this, what grade are you in?

Answer 25

11th

Answer 26

Ah okay, what question is this?

Answer 27

And usually desmos.com would help

Answer 28

i sometimes use mathway, but this time it's not doing well to help

Answer 29

Okay, I can't really see it all that well because its been selected in blue, but is it written out as f(x)=2sin(x)?

Answer 30

-2sin(X) but close

Answer 31

Well I'm not exactly suppose to help but your vertical shift would look like this http://prntscr.com/i79fxp

Answer 32

like this?

Answer 33

Thats good so far, but you would further it in the same wave formation http://prntscr.com/i79gxg

Answer 34

?

Answer 35

True, you continue to make your way like this http://prntscr.com/i79jwd

Answer 36

ok next question

Answer 37

In the function f(x), x is replaced with 2x and 1 is added to the function.



f(x)=−3sinx

What effect does this have on the graph of the function?




The graph is vertically stretched by a factor of 2 and shifts up 1 unit.

The graph is vertically stretched by a factor of 2 and shifts down 1 unit.

The graph is horizontally compressed by a factor of 2 and shifts up 1 unit.

The graph is horizontally compressed by a factor of 2 and shifts down 1 unit.

Answer 38

How many questions left

Answer 39

4

Answer 40

I believe its B, because this was the results http://prntscr.com/i79nhx

Answer 41

I believe (0,6)

Answer 42

equation?

Answer 43

It'd be written as this in equation form http://prntscr.com/i79q9d

Answer 44

The graph of f(x)=cos(x) is transformed to a new function, g(x) , by stretching it horizontally by a factor of 4 and shifting it 1 unit up.

What is the equation of the new function g(x) ?

Answer 45

Okay, my only weakness when it comes to these are labeling these out correctly

Answer 46

try your best

Answer 47

I'm not exactly sure where the G(x) goes

Answer 48

i assume it's just like how f(x) is

Answer 49

They want it written as an equation, right?

Answer 50

yes

Answer 51

y=cos(x)

Answer 52

thats it?

Answer 53

I believe so, I mean thats how it came out for me

Answer 54

I think I'm wrong, no doubt I probably am

Answer 55

A, B, and C

Answer 56

thank you

Answer 57

No problem