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volunteer
Yes! What is the coordinate for that point?
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student
good question lol urmmm...
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student
i dont know actually
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volunteer
Ok lets fill in (?, ?) one at a time. What does the x-coordinate of the y-intercept have to be?
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student
0
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volunteer
Right! In order for a point to intersect the y-intercept, it can't move left or right, it has to be at x = 0. We can also see this on the graph. Points to the right of the y-axis (the center vertical line) have positive x values, and points to the left have negative x values.
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volunteer
So now we have (0, ?). Looking at the graph, do you see any extra information you are being given about that point?
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student
the e
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volunteer
Yes! They tell us that when x = 0, f(x) = e. So the final coordinate would be (0, e).
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student
yerpppp
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student
alr
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volunteer
Awesome work on this problem! Would you like to try something similar to e and f just for practice?
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student
you know what sure
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student
i dont mid
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student
mind
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volunteer
Great!
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volunteer
Ok, I put a problem below the assignment.
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volunteer
Would you like to try out a?
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student
ok
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student
the zeroes of the function, (b,0) and (c,0)
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volunteer
Super! What about part b?
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student
okay imma jot thhis down in my journal! and lol where the confetti come from ahha
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volunteer
I was excited for you haha Emily
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[ { "pii_type": "PERSON", "surrogate": "Emily", "start": 27, "end": 32 } ]
student
lol aww thanks aalr lemme figure b
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student
(0,q)?
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volunteer
Yes that's it nice job! Is there anything else you wanted to work on?
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student
nope i Emily i've mastered this topic honestly
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[ { "pii_type": "PERSON", "surrogate": "Emily", "start": 7, "end": 12 } ]
student
all thanks to your help
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student
are you like a professor that teaches precalc?
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student
cuz how do you know it ?
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volunteer
Agreed, it was great working with you, I hope to see you again soon!
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volunteer
No, Northwood High School, but I just love tutoring.
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[ { "pii_type": "SCHOOL", "surrogate": "Northwood High School", "start": 4, "end": 25 } ]
student
wait crazy work
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student
what grade?
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student
if i can ask
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volunteer
I'm a college freshman this year. I'm taking multivariable calculus now so I did this a few years ago.
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[ { "pii_type": "GRADE_LEVEL", "surrogate": "college freshman", "start": 6, "end": 22 } ]
student
oh omg u smart smart for real!
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volunteer
Lol I'm just a math person I guess
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student
fr like u js helped a lot, so thank you so much, have a great day!
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volunteer
You too, talk to you soon hopefully!
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volunteer
It was great working with you, lmk if you have any other questions!
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volunteer
Hi, Alex!
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[ { "pii_type": "PERSON", "surrogate": "Alex", "start": 4, "end": 8 } ]
student
hi!
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volunteer
How are you?
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student
great, you?
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volunteer
doing very well! what are you looking for help with?
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student
i need help with some homework!
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student
can you see the screenshot?
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volunteer
alright, perf! yeah I can see it
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volunteer
okay if I move it a bit? my screen's a bit funny
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volunteer
just to here
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student
yea thats fine!
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volunteer
okay, awesome!
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volunteer
what do you want to start with?
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student
number 9!
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volunteer
alright! any preliminary ideas?
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student
not really.. i was sick for the lesson so i might need an extra hand
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volunteer
okay, that's totally fine!
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volunteer
okay, so we're trying to see how a) was transformed, or changed, to get d(x)
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volunteer
so when we enter -1 as x for a), what do we get?
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student
-3/
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volunteer
yep! and what about for d(x)?
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student
3
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volunteer
hmm, so what change might we do to get from -3 to 3 (more than one right answer!)
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student
multiply with a -1
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volunteer
yeah, great thinking!
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volunteer
let's confirm by looking at the other values
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volunteer
like if we put 2 in the functions, for instance, what do we get?
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student
6?
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volunteer
yeah! and what about for d(x)?
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student
-6
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volunteer
does that hold up with the negative one?
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student
no
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volunteer
are you sure?
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volunteer
what happens if you multiply 6 by -1?
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student
-6
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volunteer
so does multiplying by -1 get you from the first function to the next?
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student
mhm!
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volunteer
yeah! and looking at the other values, it seems to check out, right?
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student
yess
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volunteer
okay, so that's the symbolic form of the transformation--multiplying a(x) by -1
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volunteer
what if we think about it graphically?
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volunteer
like this is my terrible representation of a(1) and d(1) lol
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student
so the value of k would be -1?
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volunteer
I'm not quite sure what k means here, it seems to be specific to this worksheet or class
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volunteer
but if it's the thing you transform by, then yeah!
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volunteer
have you used k like this in a class before?
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volunteer
(different classes/teachers just use different letters)
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student
uhhh to be honest im equally lost cause i was absent
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student
i somehow got a 93 on the test but im so lost for thsi worksheet
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volunteer
okay, that's fine!
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volunteer
I would guess it would be -1, like the transforming factor
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volunteer
but yeah I'm not fully sure bc it's not a standard math convention
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student
i realized i completely skipped number 9
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student
would that be a reflection over the x axis?
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volunteer
yes!
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volunteer
exactly lol
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volunteer
as displayed in my terrible drawing
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student
loved that! <3
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volunteer
okay, so now 11
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