Question

Graph

Answer 1

\[y = \sin x\]

Answer 2

Its okay I have my notes and I got that

Answer 3

Anyway, you need to find \(y\) for when \(x\) = \(0, \dfrac{\pi}{2}, \dfrac{3\pi}{4}, \text{ and } 2\pi\)

Answer 4

You find the values, I'll plot the points.

Answer 5

0, 1, 0, -1, 0

-1 is for 3pi/2

Answer 6

Then you draw a smooth oscillating curve.

Answer 7

And don't forget to label it \(y = \sin(x)\)

Answer 8

Maybe I should include arrows to show the pattern continues in both directions.

Answer 9

Anyway, that's about as sloppy as you can draw it and still pass.

Answer 10

Okay I think I got this concept. Can you just remind me what to do for the different scenarios like:

y = 2sin(x)
y = sin(2x)
y = sin(x + pi/2)
y = sin(x) + 1

Answer 11

Basically, what you're facing is a situation where you have to apply the general form of a sinusoidal function:
\(y = A\sin(Bx + C) + D\)

A = Vertical Stretch/Compress
B = Horizontal Stretch/Compress
C = Shift left or right
D = Vertical Shift left or right.

Answer 12

So for A I would multiply by 1 and -1,
B I would multiply by the x points (pi/2, pi, 3pi/2, 2pi)
C I would add by the x points
D I would add by the 1 and -1

Answer 13

I don't get what you mean by any of that. Those values don't mean to do any of that. They just transform the function either vertically or horizontally depending on the value.

Answer 14

If you plot \(y = 2\sin(x)\) you get a function that is 2 times the value of \(\sin(x)\). The amplitude will be 2 in this case for example

Answer 15

I mean if A was 2 and I were to multiply 1 and -1 by 2 it would stretch the graph to 2 and -2.

Answer 16

I was just applying the concept to how you would actually transform the graph

Answer 17

I guess you can do it that way but I would rather you see it as whatever the value for \(\sin(x)\) you get, multiply that by \(2\). That's the correct way to think of it.

Answer 18

I see what you mean. I was just taught it this way.

Answer 19

It's not difficult to graph any of them. For example, for \(y = \sin(2x)\) if x is \(\dfrac{\pi} {2}\) then y will be \(0\). So you plot the point \(\left(\dfrac{\pi}{2}, 0\right)\)

Answer 20

And if you get C and D values, then just shift the whole function left, right, up or down depending on if the value is + or -

Answer 21

Also if the entire function shifts by \(\dfrac{\pi}{2}\) you get the cosine function. I'm sure you remember that from the co-functions lesson.

Answer 22

yeah I think I got this down. Thank you

Answer 23

No probs @Shadow

Answer 24

and for inverses its just flipping...simple enough

Answer 25

Exactly

Answer 26

someone else called me shadow earlier, who is that?

Answer 27

something about daddy

Answer 28

It was probably @bm17 your biggest ban I mean fan.

Answer 29

oh right the one that wanted to eat me

Answer 30

Oh is that why you named yourself Taco. You want her to eat you.

Answer 31

i like tacos

Answer 32

Or maybe you like to be eaten.

Answer 33

no Mexican food is one of my favorites

Answer 34

Mexican food is too starch heavy.

Answer 35

That's why usually when Mexican people get older, they start getting fat. Really fat

Answer 36

It's best to stay away from it..

Answer 37

once a month delicacy my friend

Answer 38

Smart idea. But what are you going to eat for the rest of the month? Cheerios?

Answer 39

can always hunt

Answer 40

carrots, wild pigs, lettuce

Answer 41

fill my taco with wild pigs and lettuce

Answer 42

Wild Pigs? You better stay away from swine. It's not acceptable to eat for most religions in the world. According to legend, it actually the cause of the evil spirits that exist in some people and can cause them to do really strange and evil things in the world. That's why both the Bible and the Koran recommend against consumption. Besides, who wants Swine Flu?

Answer 43

so no bacon?

Answer 44

that's a cruel world

Answer 45

Pretty heavenly actually. People who eat swine, usually when they get older, they start developing all kinds of weird deformities in the face. They're almost unrecognizable. Also some of the people I've run across who are like that their eyes are usually spread out with one looking one way and the other looking the other way. And they sometimes talk to themselves and say deranged things. Very crepy.

Answer 46

wow

Answer 47

I kid you not. You should go to a big city and conduct a survey and ask random people if they eat swine. Then look at their faces. You'll start to see a trend. Ask people 40 and up and you'll see.

Answer 48

this is something I have never thought about before

Answer 49

are you vegetarian

Answer 50

Yep, and all I eat is stuff like lentils, avocados, bananas, spinach, and juice both fruits and veggies. I only eat clean foods. But of course, that's the kind of town this is. Only Organic vegetarian. Conventional food is basically banned.

Answer 51

no taco bell?

Answer 52

Actually, we have Taco Johns. I never go there. The people who do go there, they're all fat.

Answer 53

And pizza joints and other fast food restaurants are even worse. And then there was a time when I thought restaurants like Subway was healthy. But almost every person who has worked there for 5 or more years, all of them were fat. Every single one of them. Of course they ate the food there. And I'm talking obese level.

Answer 54

jeez

Answer 55

Scary stuff. Yep, just observe and you'll see. Go to a Subway and like find a manager there or something. If you see one that's really obese ask how long they've been working there. I bet they say at least 5 years.

Answer 56

have you always been vegetarian?

Answer 57

Not always, but I've been vegetarian since 2004.

Answer 58

was observing all that the catalyst?

Answer 59

Nope. It was people in the family dying of cancer. All men over the age of 50. I was only a kid at the time this started happening so I had to do my research. Then I started finding all kind of shocking truths about the medical and food industries. Changed my diet shortly afterwards. Started consuming superfoods like Chlorella, Spirulina, and Moringa is my new favorite. That's nature's multi-vitamin.

Answer 60

Been consuming Moringa regularly for the past 3 years.

Answer 61

wow

I don't think I can give up meat though

Answer 62

The observation took place after I made the diet change. I started wondering to myself, "What happens to the people who continue to consume the SAD (Standard American Diet). And well, I have some internal documentation on that.

Answer 63

thoughts on fish?

Answer 64

I mean, you can still consume meats as long as it's "clean" wild meats like Deer, Elk, Moose, Chicken, Buffalo, etc.

Answer 65

Those won't make you fat if consumed in moderation. Balanced diet is the key along with periodic fasting and consuming water and tea and regular exercise.

Answer 66

Avoid restaurants as much as possible. I used to go to restaurants when I wanted fries for example. Now I just make my own fries.

Answer 67

Much easier to to cook at home when you have your own place

Answer 68

true. potatoes are one of my favorite things to cook

Answer 69

Here you go:

Answer 70

dont have to tell me to not eat snakes

Answer 71

what about turkey?

Answer 72

Here's a full list https://en.wikibooks.org/wiki/Hebrew_Roots/Unclean_foods/Unclean_Animal_Food_List

Answer 73

Hallelujah it's clean

Answer 74

Congrats bro. I was cautious about calling it clean because I know that Americans eat Turkey for thanksgiving and we don't celebrate that.

Answer 75

who is 'we'

Answer 76

Israelites

Answer 77

oh

Answer 78

I have a legit math question again