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I believe the vertical shift is down 5, but I don't know about the horizontal shift.

when does the argument for sin equal zero?

wait, sorry. this lesson confused me a lot. am i supposed to get x alone in 2x+pi=0?

yes

so it would be x= -pi/2 ?

correct
so our normal value at x=0, has now been shifted over to x=-pi/2

so the answer would be down 5 and left pi/2?

yep

alright thank you! do you think you could help me with one more problem?

one more, sure, if my sanity holds

Which of the following functions has the greatest y-intercept?

tell me your thoughts on how to approach it

i honestly have no idea i'm sorry. please don't lose your sanity lol

what would you say is the value of x for all points on the y axis?

doesn't the x value vary depending on what the y is?

|dw:1433275550605:dw|
where do we generally put the y axis? for what value of x does it pass thru?

the y axis usually passes through the 0 on the x axis

got caught in a spin cycle ... but yes, it passes thru where x=0

so, lets compare our functions, when x=0

|dw:1433276240758:dw|

so for the table, x=0 when y=0?

more appropriately: y=0, when x=0, but yeah

so the y-intercept of the f(x) table is 0?

correct: f(0) = 0
g(0) is what?

would it be -3? i think the number at the end is the y-intercept but i'm not sure

what is the y intercept of:
y = 2cos(x) + 1 ??

3?

yep, so "the last term" is not a valid approach is it?

no, i see now though. so the y-intercept of f(x) would be the answer to that one?

0 is more than -2, yes
g(0) < f(0)
-2 < 0

or -3 depending on what keys we want to hit ...

good luck :)