Taco:

Graph

5 months ago
Taco:

$y = \sin x$

5 months ago
Taco:

Its okay I have my notes and I got that

5 months ago
Hero:

|dw:1526888991554:dw|

5 months ago
Hero:

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

5 months ago
Hero:

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

5 months ago
Taco:

0, 1, 0, -1, 0 -1 is for 3pi/2

5 months ago
Hero:

|dw:1526889482118:dw|

5 months ago
Hero:

Then you draw a smooth oscillating curve.

5 months ago
Hero:

|dw:1526889569336:dw|

5 months ago
Hero:

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

5 months ago
Hero:

|dw:1526889618695:dw|

5 months ago
Hero:

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

5 months ago
Hero:

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

5 months ago
Taco:

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

5 months ago
Hero:

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.

5 months ago
Taco:

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

5 months ago
Hero:

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.

5 months ago
Hero:

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

5 months ago
Taco:

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.

5 months ago
Taco:

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

5 months ago
Hero:

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.

5 months ago
Taco:

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

5 months ago
Hero:

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 $$\left(\dfrac{\pi}{2}, 0\right)$$

5 months ago
Hero:

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 -

5 months ago
Hero:

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.

5 months ago
Taco:

yeah I think I got this down. Thank you

5 months ago
Hero:

5 months ago
Taco:

and for inverses its just flipping...simple enough

5 months ago
Hero:

Exactly

5 months ago
Taco:

someone else called me shadow earlier, who is that?

5 months ago
Taco:

5 months ago
Hero:

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

5 months ago
Taco:

oh right the one that wanted to eat me

5 months ago
Hero:

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

5 months ago
Taco:

i like tacos

5 months ago
Hero:

Or maybe you like to be eaten.

5 months ago
Taco:

no Mexican food is one of my favorites

5 months ago
Hero:

Mexican food is too starch heavy.

5 months ago
Hero:

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

5 months ago
Hero:

It's best to stay away from it..

5 months ago
Taco:

once a month delicacy my friend

5 months ago
Hero:

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

5 months ago
Taco:

can always hunt

5 months ago
Taco:

carrots, wild pigs, lettuce

5 months ago
Taco:

fill my taco with wild pigs and lettuce

5 months ago
Hero:

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?

5 months ago
Taco:

so no bacon?

5 months ago
Taco:

that's a cruel world

5 months ago
Hero:

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.

5 months ago
Taco:

wow

5 months ago
Hero:

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.

5 months ago
Taco:

this is something I have never thought about before

5 months ago
Taco:

are you vegetarian

5 months ago
Hero:

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.

5 months ago
Taco:

no taco bell?

5 months ago
Hero:

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

5 months ago
Hero:

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.

5 months ago
Taco:

jeez

5 months ago
Hero:

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.

5 months ago
Taco:

have you always been vegetarian?

5 months ago
Hero:

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

5 months ago
Taco:

was observing all that the catalyst?

5 months ago
Hero:

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.

5 months ago
Hero:

Been consuming Moringa regularly for the past 3 years.

5 months ago
Taco:

wow I don't think I can give up meat though

5 months ago
Hero:

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.

5 months ago
Taco:

thoughts on fish?

5 months ago
Hero:

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

5 months ago
Hero:

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.

5 months ago
Hero:

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.

5 months ago
Hero:

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

5 months ago
Taco:

true. potatoes are one of my favorite things to cook

5 months ago
Hero:

Here you go:

5 months ago
Taco:

dont have to tell me to not eat snakes

5 months ago
Taco:

5 months ago
Hero: 5 months ago
Taco:

Hallelujah it's clean

5 months ago
Hero:

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

5 months ago
Taco:

who is 'we'

5 months ago
Hero:

Israelites

5 months ago
Taco:

oh

5 months ago
Taco:

I have a legit math question again

5 months ago