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Mathematics 12 Online
OpenStudy (sarahjoy26):

Please help somebody! I promise I will MEDAL AND FAN! I really need help with coordinate. plane Use integer values of x from -3 to 3 to graph the equation y = -2x^2 + 3 Please help.

OpenStudy (sarahjoy26):

Also y = 1/3 |x| -2

OpenStudy (sarahjoy26):

Please help someone

OpenStudy (hitaro9):

Alright. If we were to make this problem a bit simpler, and I asked you to plot points for the graph y=2x, would you know how to do that?

OpenStudy (sarahjoy26):

No

OpenStudy (sarahjoy26):

I don't understand how to graph an equation

OpenStudy (hitaro9):

Okay. Do you know what a function is?

OpenStudy (sarahjoy26):

yes

OpenStudy (hitaro9):

Okay. If I asked you to plot the point (2,3) would you know how to do that?

OpenStudy (sarahjoy26):

yes

OpenStudy (hitaro9):

Okay, this might be a bit of a jump. If x=1,2,3, how would you graph (x,2x)?

OpenStudy (sarahjoy26):

How do I plot 1,2,3 ?

OpenStudy (sarahjoy26):

I thought you could only plot 2 numbers

OpenStudy (hitaro9):

Remember, x can be any number right? So if I asked you to plot (x,2x) by plugging in those numbers, how would you do that?

OpenStudy (sarahjoy26):

Oh ok

OpenStudy (sarahjoy26):

Ooohhh so (1, 23) ?

OpenStudy (hitaro9):

Hmm, let's take this a step back. If I just asked you to solve 2x = ? for x= 1, 2 and 3, would you be able to do that?

OpenStudy (hitaro9):

It's fine if that looks odd, I can rephrase it just let me know.

OpenStudy (sarahjoy26):

So if x = 1,2, and 3, do I multiply 2 by 1 , 2 , and 3, then add those answers together?

OpenStudy (hitaro9):

It's more like I'm asking you to do the same problem 3 times. Like, this is a multiple part problem if that makes sense

OpenStudy (sarahjoy26):

Im sorry if this is difficult I just suck at math.

OpenStudy (sarahjoy26):

ok

OpenStudy (hitaro9):

Like: Solve x=1 for 2x =? then Solve x=2 for 2x=? then Solve x=3 for 2x=?

OpenStudy (sarahjoy26):

Ok so, if x = 1, 2x = 2 if x = 2, 2x = 4 if x = 3, 2x = 6 right?

OpenStudy (hitaro9):

What do you think? :)

OpenStudy (sarahjoy26):

Yeah

OpenStudy (hitaro9):

Alright then, do you notice anything about those series of numbers?

OpenStudy (sarahjoy26):

You count by 2s every time

OpenStudy (sarahjoy26):

Well, if i re-word that, I would say you just add 2 each time

OpenStudy (hitaro9):

Right. That's interesting. Make a mental note of that, we'll come back to it later.

OpenStudy (sarahjoy26):

ok

OpenStudy (hitaro9):

I'm going to ask you to do the same thing for 3x=? Can you solve for x=1, 2,3?

OpenStudy (sarahjoy26):

Ok. x = 1, 3x = 3 x = 2, 3x = 6 x = 3, 3x = 9

OpenStudy (hitaro9):

Now do you notice anything about these numbers?

OpenStudy (sarahjoy26):

You add 3 every time

OpenStudy (hitaro9):

Yeah, that's right. I'm going to ask you to do the same problem one last time for 4x= ? x=1,2,3

OpenStudy (sarahjoy26):

4, 8, 12

OpenStudy (hitaro9):

Perfect. Were you able to figure that out without manually plugging in the numbers?

OpenStudy (sarahjoy26):

Yes

OpenStudy (sarahjoy26):

You just add the number behind x by itself each time I guess

OpenStudy (hitaro9):

Alright then, awesome. So we could, theoretically, solve for any number with this method right, by just extending the pattern. Now, before I asked you to solve the problem 3 times. I'm going to do the same thing here. For x = 1, 2, 3 Find the coordinates (you'll have 3 coordinates) for (x,4x).

OpenStudy (sarahjoy26):

So (1, 4) (2, 8) and (3, 12)

OpenStudy (hitaro9):

Yes! Awesome job. Now, if I asked you to plot those all on a graph, what would it look like?

OpenStudy (sarahjoy26):

How do I draw that?

OpenStudy (hitaro9):

Hm, if I asked you to plot (1,2) on this plot: |dw:1448593476079:dw|

OpenStudy (sarahjoy26):

I know how to plot it, but how do i show you?

OpenStudy (hitaro9):

Click the little pencil to reply using the drawing

OpenStudy (hitaro9):

And then just like, make a little dash wherever you think is correct. Or you can type in an X or whatever.

OpenStudy (hitaro9):

Its not formal or anything :P

OpenStudy (hitaro9):

Are you just having trouble because open study is finicky?

OpenStudy (sarahjoy26):

OpenStudy (sarahjoy26):

Hold on just a sec i will be RIGHT BACK i promise

OpenStudy (hitaro9):

Yeah no problem. Take your time. I may take a minute to respond when you do get back

OpenStudy (sarahjoy26):

@Hitaro9 Im here.

OpenStudy (hitaro9):

Hey

OpenStudy (hitaro9):

So, click the pencil on the graph a few replies up, and see if ya can plot (1,2), (2,4) (3,6)

OpenStudy (sarahjoy26):

|dw:1448594472244:dw|

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