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student
2,0
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volunteer
clsoe
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volunteer
it would be (0,-2)
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volunteer
do you see the pink
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student
oh yeah whoops
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volunteer
oh ok
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volunteer
so we have the y intercept
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volunteer
do you know how to find slope?
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student
rise over run
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volunteer
yup
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student
1
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volunteer
good job
18,883
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volunteer
so the equation of the new line
18,883
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volunteer
is y= x-2
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volunteer
alright now lets apply the formula
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volunteer
g(x) btw is the new line
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volunteer
let me simplfy that a bit for you
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volunteer
ok let me tell you what I did
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volunteer
so the orginal formula is g(x) = f(bx)
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volunteer
right
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student
yes for horizontal stretch
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volunteer
yup
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volunteer
we know g(x) = x-2
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volunteer
as g(x) is the new line
18,883
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volunteer
so i replaced the left side of the equation with x-2
18,883
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volunteer
and f(x) = 2x-4
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volunteer
but because b is inside the f(bx)
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volunteer
it only affects the x
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volunteer
so it becomes bx-4
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volunteer
does that sorta make sense
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student
uhh kinda
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volunteer
are you confused on the right side of the equation and how i did that?
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student
yea
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volunteer
yeah i kinda understand
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volunteer
uhh for now just bare with me on the horizantal stretch
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volunteer
lets try A it says it stretchs by a factor
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volunteer
of 2
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volunteer
which means b is 2
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volunteer
let me rewrite it for you i sorta messed up
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volunteer
scroll down
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volunteer
can you see it?
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student
yep
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volunteer
so for a
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volunteer
we see the scale factor of 2
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volunteer
plug in 2 to b
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volunteer
and tell me what the right side of the equaiton looks like
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volunteer
-4 is right btw
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volunteer
did you see what I did there
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student
yes i just got confused
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volunteer
since it tells us for a b = 2
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volunteer
oh that's alright
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volunteer
so what that look like
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volunteer
if you simplfy only the right side
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volunteer
yup
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volunteer
and that doesn't match the x-2
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volunteer
right
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student
right
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volunteer
yeah so the goal is to match the right side to the left side
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volunteer
so the left side should end up as x-2
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student
oh wait were trying to gt it to equal oh okay
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volunteer
yeah
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volunteer
now lets try b
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volunteer
we are told the factor is 1/2
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volunteer
tell me what the right side equation would look like
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volunteer
yup
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volunteer
now simplfy the right side a bit more
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student
this one is wrong
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volunteer
yup
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volunteer
so it has nothing to do with a horizantal stretch or shrinl
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volunteer
so lets look at the vertical stuff
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volunteer
the formula is g(x) = bf(x)
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volunteer
do you get how i came up with that equation
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student
scale factor times function
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volunteer
yup
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volunteer
so lets try c
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volunteer
scale factor of 2
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volunteer
tell me the final equation
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volunteer
on the right side
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student
4x-8
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volunteer
yup and it doesn't match right
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student
nope
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volunteer
we pretty much know it's d now
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student
so the answer is d
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student
okay alright
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volunteer
yeah
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volunteer
do you need help on 2?
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student
isnt it 10 < x <15
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volunteer
yeah don't forget the -
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volunteer
on the 10
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volunteer
but yeah
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student
okay yay
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volunteer
anything else?
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student
i thinkkkk i got it
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volunteer
alright then Ill cya then
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student
goodnight!
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volunteer
u too
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student
I need help from#2 and down
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volunteer
Is there an accompanying graph or something for this problem?
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student
no
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student
thats just all thats on the paper
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