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8
volunteer
for now we don't have to worry about specific points
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student
is there a rule for it
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volunteer
yeah but lets get the basics of what a stretch and shrink do
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student
okaay
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volunteer
alright so a stretch makes it towards the y axis
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volunteer
oops
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volunteer
mean closer to the x axis
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volunteer
if that makes any sense e
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volunteer
it gets like pulled towards the x axis
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volunteer
do you kinda see how
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student
oh cuz its horizontal
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student
howd you know which way it was gonna go
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volunteer
yeah
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volunteer
well think of it like a string
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volunteer
you know when its all like messy
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volunteer
it looks like this
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volunteer
but when you stretch it out
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volunteer
it becomes straight like the x axis
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volunteer
does that kind of make sense
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student
what about the way it tips?
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volunteer
sorry what do you mean by tips like how do i know it doesn't become like this
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student
you moved the top right down why didnt you move bottom left up closer to x axis instead
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volunteer
i moved both closer to the x axis
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student
oh okay
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student
would vertical lead it away then
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volunteer
yes in a way
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student
how
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volunteer
here let me show an example
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volunteer
scroll down a bit Ill draw it tghere
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volunteer
do you see the orginal line(blue)
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volunteer
crossing through at (0,-2)
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volunteer
you here?
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student
sorry checking something
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student
i see it
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volunteer
oh that's alright
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volunteer
so a horizantal stretch would be like this in red
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volunteer
it becomes more like a horizantal line
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volunteer
so now you asked
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volunteer
or vertical right
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volunteer
a vertical stretch would be a bit more different
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volunteer
you are right in thinking it would go away from the y-axis
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volunteer
i mean x axis
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volunteer
but theres one more difference
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volunteer
whereas the cross through point for a horizontal shift won't change where it crosses through
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volunteer
a vertical stretch would
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volunteer
in green is what it would look like
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student
oh okay so it leans towards y axis
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volunteer
i know i just wrote ea lot
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volunteer
yeah
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volunteer
your getting the picture
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student
is there a fotmula
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volunteer
yes
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volunteer
let me write it for you
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volunteer
g(x)=f(bx)
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student
huh
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volunteer
b = the factor
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volunteer
yeah its a bit weird
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student
ohh
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volunteer
wait
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volunteer
wait
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volunteer
wait
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volunteer
before you do anything that's the formula for the horizantal shifts
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student
x is just the x right no y includedz/
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student
?
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volunteer
g(x)=b⋅f(x)
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volunteer
yeah x is just the x
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volunteer
do you understand what f(x) means?
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student
and this is vertical stretch?
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volunteer
yeah for vertical stretch or strink
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student
f(x) is the function right
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volunteer
yeah
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volunteer
lets erase this board I'll teach you how to use this formula to solve
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volunteer
and repaste
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volunteer
the problem
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student
alrighty all these variables are confusing Mr. Smith
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[ { "pii_type": "PERSON", "surrogate": "Mr. Smith", "start": 43, "end": 52 } ]
volunteer
yeah thats fine I'll teach you to use it
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volunteer
sorry can you repast the problem
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volunteer
it gets delted when I erase the board
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volunteer
alrighty lets first test the horizantal formula
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volunteer
do you see how in the orginal f(x) = 2x-4
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student
yes
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volunteer
can you tell me the equation
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volunteer
of the line
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volunteer
thats been transformed
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student
2x-4
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student
oh sit
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volunteer
u good
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volunteer
if you can tell me that it gets a lot easier
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student
i meant to say wait not that whoops
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volunteer
i don't really care if you curse
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volunteer
can you tell me the equation
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student
uhhh
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volunteer
i can help if you want
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student
yes pls
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volunteer
alright
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volunteer
so to find an equaiton for a line
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volunteer
we need the slope and the y intercept
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volunteer
so what's the y intercept
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volunteer
that's where
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volunteer
the line crosses the y axis
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