Datasets:
NationalTutoringObservatory
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MathEd-PII

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volunteer
Hi Chloe! What can I help you with today?
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[ { "pii_type": "PERSON", "surrogate": "Chloe", "start": 3, "end": 8 } ]
student
hello!
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student
There is a specific question that i do not know how to solve
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student
it's #4
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volunteer
Okay! Give me a second to try it out
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student
i have to be able to state the transformations that occured in order, with the graph for each step
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volunteer
Okay, so first factor out the constant so it would be -3f(-2(x-3/2)) -1
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volunteer
the function f(-2x) represents a horizontal compression of the original function f(x) by a factor of 1/2 about the y axis
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volunteer
the function f(-2(x-3/2)) represents a horizontal shift to the right by 3/2 units
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volunteer
the -1 at the end is the vertical shift downwards by 1 unit
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student
let me try that out with the graphs
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student
ok so
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student
like that?
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student
wait
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student
the vertical stretch of 3
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student
and reflected upon the x axis too right?
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volunteer
yes the third graph would be like that instead
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student
does the vertical stretch happen before or after the vertical translation?
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student
because i always mix up the otder
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volunteer
It happens before since the -3 is attached directly to the function while the -1 is on the outside so its after
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student
oh ok
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student
thanksss
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volunteer
np!
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student
Hi. I have a question that I wrote it on the whiteboard. I'm starting to write my work out so you can see it
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volunteer
Hello
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volunteer
I see it
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student
its really the finding the domain part that's confusing me the most with this particular problem
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volunteer
The domain is what X values are valid
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student
yea. so I know anything lower than -2 cant be right
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volunteer
see board
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student
ok
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student
why did u flip the sign? x cant be less than -2
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volunteer
-1 gives you an invalid answer
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student
Nvm. it can be bc then the numerator would also be negative and it would cancel out
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volunteer
see graph https://example.com/math_graph
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[ { "pii_type": "URL", "surrogate": "https://example.com/math_graph", "start": 10, "end": 40 } ]
volunteer
correction
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volunteer
Can you see the graph?
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student
yes
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volunteer
does the domain make sense?
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student
but I think I'm supposed to solve this purely usingalgebra
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volunteer
Precisely
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volunteer
algebraically denominator can not be zero or negative
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student
I can see that x has to be less than 2
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volunteer
cool
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student
is that correct?
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volunteer
looks good
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student
ok great! I have to right now but thanks for helping me today.
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volunteer
bye
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student
bye
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volunteer
Hi, how can I help
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student
Hi I was just wondering how to do the functions, because im functions% understanding it
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volunteer
sure, do you mean like how to graph functions or what a function is, for clarity
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student
like the tables, and how to determine what happened to the function from an equation
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volunteer
do you have an example we could work from?
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student
i do not
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volunteer
Ok, lets see
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volunteer
Can you make any predictions on what this function could be?
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student
is it a shift
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volunteer
Not quite, think of your main types of functions
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volunteer
Exponential, linear, polynomial, etc
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volunteer
are there any patterns you notice, patterns are something fairly relevant for functions
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student
quadratic? because of the perfect squares
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volunteer
Yup!
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student
I dont really remember going over these in class, because we automatically went into horizontal shifts, vert shifts, reflections and stuff like that
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volunteer
Ok, lets try one of those
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volunteer
What kind of technique/shift do you have to apply to y=2x to get the function there
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student
so im mainly struggling on the stuff when the teacher gives us an equation, and the parent funtion and then we have to use the equation to determine and graph the new function
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volunteer
ok
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volunteer
Ok, how would you graph that, try drawing on the board
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volunteer
Yep right 5, and what other shift
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volunteer
Yep, I agree, those are the shifts
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volunteer
Is there anything specific I can help with, if not, you might be best served just finding some of your hw and reviewing the problems
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student
I just want to practice more of this type of stuff, because i dont really feel like im too confident in it yet
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volunteer
sure, we can do a couple more problems
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volunteer
try this one
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student
so up 1
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volunteer
yep
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student
and then would it be a shift to the right
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volunteer
That sounds right!
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volunteer
what about this one
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student
oh i have never seen anything like this, let me try it though
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volunteer
Sounds good
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student
so down 10
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volunteer
yup
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student
left 3
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volunteer
Yup, nice job!
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student
i feel like there's other steps, but i dont really recognize this
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volunteer
For this one, its a function you probably aren't familiar with, but the shifts are the same
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student
i feel like its the cubic part i dont understand
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student
could you still ecplain it though
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volunteer
sure, in this case, this is the cube root of the square function
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volunteer
That's approximately what the base cube root function looks like tho
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student
oh, i have never seen that, but okay, what would happen after that then
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volunteer
the shifts are the same as all other shifts, the graph itself approaches infinity as x approaches infinity and the opposite in the negative direction
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volunteer
Hi, are you still there?
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student
yes i am
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student
hii
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volunteer
hii! how can i help?
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student
I need help on my math work
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volunteer
alright, let's take a look
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