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student
OK
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volunteer
Still, I'm still surprised you haven't heard, you have heard of this, right?
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student
I have, it's just, um, really bad at math, so I just forget everything that I learned.
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volunteer
It's OK.
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volunteer
OK. So let's just say
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volunteer
OK. If you have X² +
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volunteer
1 equals 9.
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volunteer
Hm.
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volunteer
OK.
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volunteer
Come on.
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volunteer
OK. Do you know what a functions
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student
Yeah
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volunteer
Well, what's a function
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student
Um
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student
isn't it when you like
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student
have like the graphs and stuff.
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volunteer
Sure, but OK, function is pretty much something where you can plug in a number
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volunteer
and you can get a result
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volunteer
OK?
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student
Mhm
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volunteer
So in this case, for all your
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volunteer
questions, I can write a function instead of Y.
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volunteer
I can write F of X equals X² + 5.
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volunteer
To get back to your point
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volunteer
we're working with a graph, and X can be anything.
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volunteer
It can be 7, pi, E, anything and what you can be whatever you want.
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volunteer
The concept is you can plug in whatever you want, and it will give you a result. You're graphing the result on the vertical axis. OK?
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volunteer
When you grab that result on a vertical axis.
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volunteer
and when you graph the horizontal or whatever you're plugging in on the horizontal one. You will get a shape.
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volunteer
That shape is maybe a parabola or a line.
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volunteer
Thing is
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volunteer
if the X has a power of 1, ever if the highest power of a function is one. So if you have a lot of X's, you just look at them, the highest power is one.
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volunteer
then it has to look like a line.
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volunteer
OK
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student
Mhm
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volunteer
Has to look like a lot
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volunteer
So, out of your two options in your case, there's CND
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volunteer
One of the both of them have to be corresponding to the image A or C.
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volunteer
OK?
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student
OK
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volunteer
There's also this thing called reflections, a negative sign reflects something.
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volunteer
OK.
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student
OK
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volunteer
So in this case, if I said Y equals x.
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volunteer
Uh, let me just graph it real quick
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volunteer
Hm.
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volunteer
Sure
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volunteer
I said why equals x.
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volunteer
So give me a list of points.
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volunteer
OK, just, just tell me a random point for x and I'll, I'll write that down.
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student
Um
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student
5
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volunteer
OK, let's start with 5
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volunteer
Just keep giving me points
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student
5:13.
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volunteer
OK
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student
um
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student
16
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volunteer
All right.
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student
28
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volunteer
Yeah, sure.
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volunteer
OK. So what, OK, what this means is, why?
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volunteer
equals X
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volunteer
So when X is 5, what, what, what, what would be the value of Y?
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student
also 5
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volunteer
Good.
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volunteer
If XS 13, what would mine be?
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student
13
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volunteer
25, so on
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volunteer
So, I'm gonna write down 5, I'll write down 13.
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volunteer
1625.
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volunteer
If this is 5, this has to be 5. This is 15, this has to be 15.
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volunteer
So this essentially
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volunteer
would make a perfect line.
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volunteer
Does that
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volunteer
answer
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volunteer
what a linear equation is. Does that answer what a line would look like and how you would find out what it would look like.
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student
Uh yeah
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volunteer
OK, good.
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volunteer
Now
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volunteer
if I just told you
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volunteer
I don't wanna, I don't want to graph Y equals X. I want to graphy equals X.
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student
Mhm
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volunteer
Well, exact same points, right? 5, it would become -5.
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volunteer
-13, 16, and so on.
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volunteer
At this point wouldn't be here anymore.
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volunteer
Let me just raise this, yeah
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volunteer
If you have 5
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volunteer
you would have -5. So this one would actually be
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volunteer
right here
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volunteer
right here, right here, right here.
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volunteer
This would be the one
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volunteer
See how it's flipped
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student
Uh-huh
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volunteer
Does that make sense
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student
Yes
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volunteer
What axis is it flipped over?
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student
Um, the range
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volunteer
Um, I asked the access, can I either be X or Y? Don't tell me range.
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student
Why
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