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NationalTutoringObservatory
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MathEd-PII

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volunteer
so you will be provided with an equation and/or a graph of the equation
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volunteer
like in example 5
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student
wait so which model is x-axis
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student
the 1st one?
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volunteer
yes
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volunteer
model 1 is symmetry about the x-axis
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student
ok so when it says confirm algebrically i have to put an equation right?
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volunteer
you have to use the equation given to you and perform the test that we mention there
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student
or input the equation ig
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volunteer
the test will tell you if its symmetrical or not
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volunteer
do you get it
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volunteer
so in the case of symmetry about x
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volunteer
for each value of x you should have 2 y values
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volunteer
one as y and other as -y
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volunteer
so we substitute y and -y in the equation given to us, and we should get the same equation
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volunteer
if you still don't understand feel free to ask
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volunteer
i think an example would clear it up well though
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student
ok
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student
so
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student
i think doing rexamples would prob help
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volunteer
yeah, let me explain the three models and then try the examples, it'll make it clear
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volunteer
so in the second case, if for each y-value we have two x values -> x,-x then we can substitute -x in the equation and we should get the same eq
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volunteer
now in the last case, for every (x,y) there is a (-x,-y) on the graph, so we can substitute -x and -y in the equation to get the same eq
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volunteer
Now let's get going on example 5 you should have a better understanding
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student
erm
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volunteer
yeah you were correct
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volunteer
that was correct
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student
but like
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student
so xy = -6
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student
if i made them both negaitve
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student
what would the difference be
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student
wait
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student
so lets say x = 5
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student
y = -6
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student
xy = -30
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student
make them both negative
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student
-5x6
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student
-30
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volunteer
it won't make a difference, that's the point
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volunteer
the equation remains the same
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volunteer
which means that the equation is symmetric about the origin
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student
ok so how would it be wrong algebreically
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volunteer
say i have a function y=x+3
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volunteer
replacing y with -y and x with -x
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volunteer
-y = -x+3
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volunteer
or y=x-3
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volunteer
which isn't the same function
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student
hmm
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volunteer
so the function is not symmetrical about the origin
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student
u know i learned this but thankfully
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student
it wasnt on my quiz
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student
so maybe it wont be on test :)
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volunteer
it's not too hard though, you're doing a good job
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student
i mean horribly but close enough
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volunteer
don't worry about your test, you have a good understanding
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volunteer
these topics take a bit of time and practice to digest
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volunteer
so can you try the second one and we can wrap up for today
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volunteer
I have to leave a bit urgently
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student
oh
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student
same thing
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student
so its symmetrical cause its the same
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volunteer
but different symmetry, it isnt symmetrical about the origin
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volunteer
look at the graph
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student
i thought u replace x with -x
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volunteer
what axis is the function symmetric about
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volunteer
yeah that's correct
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student
oh to the y axis
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volunteer
yeah I just meant here we won't replace y with -y because we're checking for symmetry about y axis
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volunteer
anyways yes, y = x^2+2 remains the same for x and -x
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volunteer
so it's symmetrical
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volunteer
about y axis
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volunteer
any questions?
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student
nah
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student
so you have to leave?
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volunteer
alright I'll end the session then, you did a gr8 job today, keep practiving
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student
thank you
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volunteer
yeah sorry about that
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student
have a good night
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student
or day
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volunteer
same to you
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student
hiii
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volunteer
Good evening Emily
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[ { "pii_type": "PERSON", "surrogate": "Emily", "start": 13, "end": 18 } ]
student
can you help me for a few minutes with indepdnent and dependent quantities
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student
like story problems
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volunteer
yes I can
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student
tyyy
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volunteer
Do you have handout or document that we can work on
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student
nope just make up problems i guess
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volunteer
alright
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volunteer
so would you please define idependent and dependent quantity in your own words?
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student
indepent is what ur changing and like what doesnt depdnd on smth and its x and domain
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student
dependent is like dpeending on x and its the y and its range
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volunteer
I understand you
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student
ok
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volunteer
so we have 2 similar terms which are input and output. Which one is independent?
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student
input is x
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student
output is y
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student
sorry
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student
input is independent
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student
output is dependent
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