Datasets:
NationalTutoringObservatory
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MathEd-PII

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volunteer
5 and 8, and I want you to go ahead and try these last two for me and then I will check.
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volunteer
your
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volunteer
with mine. See if we got the same um values. Let me know when you're done.
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student
is -(0)+4 right
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volunteer
it would be -(5)+5! :)
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volunteer
bc remeber were taking g(0) which is 5
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student
I forgot what I was plugging in mb
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volunteer
no worries! im here to help
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student
-1 and -4
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volunteer
Perfect those are correct!
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volunteer
So how do you feel about the topic now?
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volunteer
and is there anything else you need help with?
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student
I feel good
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student
could u check my answers for smth else
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volunteer
Yay! Thats good
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volunteer
Yep of course!
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volunteer
okay !
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volunteer
can you let me kow ur answer and ill check
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student
I chose the second to last one
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volunteer
ok lets check!
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volunteer
OK, so this is inverses, um, so we know that GFX is just another way of saying why, and the H is like basically the X, right? So the first step is we're gonna flip the X and Y. So we're gonna get H
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volunteer
hold on
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volunteer
This pen thing always stops working.
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volunteer
OK, there we go
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volunteer
So
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volunteer
we have um
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volunteer
H is equal to 10
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volunteer
um, to the square square root of
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volunteer
Y, right? Because G(x) is just why.
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volunteer
of why
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volunteer
and then remember the minus 6 is on the outside.
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volunteer
So the first thing we're gonna do is we're gonna add the 6, OK?
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volunteer
So now we're gonna get, sorry, also, um, yeah, hold on. So we're gonna get the H+ 6, right? And the whole point of this is to isolate the Y. So the H+ 6 is gonna be equal to 10
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volunteer
to the square root of Y. So now what we're going to do is we're going to divide both sides by 10.
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volunteer
OK
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volunteer
So now we're gonna get H+ 6/10. And now, since we're done with the 10, we're gonna get H+ 6.
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volunteer
over 10.
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volunteer
is equal
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volunteer
to the square root
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volunteer
of Y, and how do we get rid of this square root, we're going to go ahead and square this whole side. So then this whole side would be squared.
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volunteer
And now, since we got rid of the square root, it's literally just gonna be
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volunteer
um, why is equal to
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volunteer
H + 6/10 squared, which is exactly what you put, so great job.
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volunteer
So, and also always remember like, when we're putting it in back into inverse form, we would do the same thing up here. So do you see how we have GFX. We would do the same thing except now we would do G of negative1 of H. sorry, not GFX GFH GF 1 of H, and then you also got that same input that I got. So you did it righ...
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student
yay
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student
thank you
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volunteer
Yep
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volunteer
Of course. Let me know if you if you need me to check anything else or if you have any questions with anything else.
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student
I have one more
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volunteer
OK, perfect. Um, here, let's just erase this, and then you can put that one up for me.
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student
I can
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volunteer
OK, so I'm back. I'm not sure if you can hear me, but let me know, um, like your next
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volunteer
thing that you need help with, and we will get started on that.
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student
I chose the second one
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volunteer
OK, so
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volunteer
OK, suppose that F of X is equal to x + 2, and that GFX is the result of shifting F(x) down 6 units and left one unit. Which of the following is the correct equation for GF X. OK, so automatically on the first step for this is we need to note out our word translation. So we can see over here,
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volunteer
um
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volunteer
our translations is going down by 6, OK, and then we're going left by one. So automatically we can cross out literally.
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volunteer
all of these, right? We can cross out every single one because none of these are going down by 6. And also when we're going left one, it's gonna be the opposite in the equation. Usually we would think, oh, if we're going to the left, we would do minus 1, right? Like we would do -1 inside of the parentheses, like right ...
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volunteer
But no, we're always gonna do plus one, and then when we're going right, we do minus. So automatically this is really easy because you can just cancel everything out.
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volunteer
to see
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volunteer
OK, wait, hold on, I actually forgot about the entire first part of the equation. So actually that's my mistake.
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volunteer
Since we have an x + 2, if we're going down 6, can you tell me what that would be?
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volunteer
If we're doing 2-6, what would we get? See, that was actually a trick, that was a trick.
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volunteer
So we can automatically actually cross that one out.
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student
-4
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volunteer
So can you let me know what is 2, if we have 2 and we're going down 6, what would that be?
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volunteer
Yeah, perfect. -4. OK. So now with the, now that we know that we're going to be -4.
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volunteer
We're going to go ahead and cross out.
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volunteer
the plus 4 and the +1 and the +2. Now we have these two options to choose from, OK? So you went ahead and chose the second one. I'm just gonna go ahead and um like on a race this really quick that's just actually erased the entire thing. The reason you chose the second one is because you saw the the minus 6 and you jus...
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volunteer
we're starting with the 2.
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volunteer
OK
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volunteer
So on the original equation, we're starting with the with the plus 2, a 2. So let's say the graph is like over here + 2, OK? And it's saying, oh, we're going down by 6 units. So if we're going down by 6 units, we're gonna end up at -4. OK, so that's why we're going -4.
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volunteer
because this is talking about the results of the function. So, -4, and then since we're going left by one unit again, same thing. When we're going left, we're going to do a plus one or like a plus whatever unit. So we're going left one, so that's going to be plus one. If we were going right one unit, then we would do m...
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volunteer
be.
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volunteer
um GFX equals x + 12 minus 4.
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volunteer
So the third one, do you understand or do you have any questions with that?
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student
😭
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student
yes I got it
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volunteer
It's OK if you don't understand or, OK, that's great, that's amazing. Let me know if you need help with anything else.
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volunteer
Today, this app is being really glitchy, so
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volunteer
I am trying to erase everything. OK, perfect.
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student
I'm good :) thank you so much for helping me tonight
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student
I hope you have a great night
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volunteer
Yup, of course. Um, I'm glad I could help you. And I hope you have a great night. And also always come back and let me know if you need help with anything.
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student
:)
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volunteer
Have a great night. Bye.
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volunteer
Hello :) are you in need of assistance?
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student
Hello, can you hear me?
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student
Can you please turn on your mic so that I could learn better.
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volunteer
yes i can hear you :)
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volunteer
Hello
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student
Wait, are you speaking? Wait, hold on, let me turn on my volume.
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student
OK, I can hear you
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volunteer
Yes, I'm speaking
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student
OK. Um, so, um, I have a test tomorrow.
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volunteer
Mhm.
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student
and I'm taking APPO.
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volunteer
Yes, I can help you with that
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student
OK. So basically, I, I'm gonna share my screen um
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