Split (1)

train · 116k rows

role stringclasses 2 values	content stringlengths 0 2.1k	session_id int64 10 21.7k	sequence_id int64 0 2.38k	annotations listlengths 0 8
volunteer	d(x) in terms of a(x)	17,779	59	[]
volunteer	any preliminary thoughts?	17,779	60	[]
student	maybe something with the signs..?	17,779	61	[]
volunteer	yeah, nice thinking!	17,779	62	[]
volunteer	we've found that multiplying a(x) by negative one gives of d(x), right?	17,779	63	[]
student	mhm	17,779	64	[]
volunteer	so could we utilize that fact to write d(x) in terms of a)?	17,779	65	[]
student	would it be d(x) = -1a(x)	17,779	66	[]
volunteer	yeah!!!!	17,779	67	[]
volunteer	because we're just taking the outputs of a) and multiplying them by -1! nice work :)	17,779	68	[]
student	so basically for that part i just need to know k in order for me to solve it	17,779	69	[]
student	just add it to the beginning	17,779	70	[]
volunteer	yes, for these types of problems!	17,779	71	[]
volunteer	once you get to shifting up and down or left and right, you have to be more careful	17,779	72	[]
volunteer	but for flipping or scaling up and down, you're just multiplying by one number!	17,779	73	[]
volunteer	which is what you did here, with -1!	17,779	74	[]
volunteer	and you can always double-check by plugging values back in	17,779	75	[]
student	hmmm okok	17,779	76	[]
student	im still kind of confused on how to solve for k but i think i briefly understand	17,779	77	[]
volunteer	yeah, let's do the next one and try to solidify things, yeah?	17,779	78	[]
student	yes!	17,779	79	[]
volunteer	okay, so let's look at g(x) and f(x) here	17,779	80	[]
volunteer	any guesses as to what might have been done to f(x) to get g(x)?	17,779	81	[]
student	a stretch?	17,779	82	[]
volunteer	yeah! nice intuition	17,779	83	[]
volunteer	but by how much? let's look at some points	17,779	84	[]
volunteer	do you see the points I marked in blue?	17,779	85	[]
volunteer	(you can use any pair of points but these were on lines so they're nice!)	17,779	86	[]
student	3!	17,779	87	[]
volunteer	yeah, the distance between them is def 3, but for the scale factor, we can take a different approach	17,779	88	[]
volunteer	nice thinking though!	17,779	89	[]
volunteer	what are the coordinates of these points?	17,779	90	[]
student	1,1 and 1,4	17,779	91	[]
volunteer	yeah! nice job	17,779	92	[]
volunteer	so if we think of these as functions, what does the x coordinate represent?	17,779	93	[]
student	a vertical stretch?	17,779	94	[]
volunteer	oh yeah, I mistyped, the y coordinate! and yeah, it is a vertical stretch!	17,779	95	[]
volunteer	how much are you stretching by?	17,779	96	[]
student	3	17,779	97	[]
volunteer	alright, good thinking! but, let's try plugging it in	17,779	98	[]
volunteer	here, what does f(1)) equal?	17,779	99	[]
volunteer	(it's the y coordinate of the point with x coordinate 1)	17,779	100	[]
student	1?	17,779	101	[]
volunteer	yeah!	17,779	102	[]
volunteer	and g(1)?	17,779	103	[]
volunteer	(same process)	17,779	104	[]
student	isnt it also 1?	17,779	105	[]
volunteer	when the x coordinate of g(x) = 1, what's the y coordinate?	17,779	106	[]
student	ohhh 4	17,779	107	[]
volunteer	yeah! it's a bit confusing on graphs	17,779	108	[]
volunteer	so scaling vertically is a multiplication transformation	17,779	109	[]
volunteer	when you multiply 1 by 3, do you get 4?	17,779	110	[]
student	no	17,779	111	[]
volunteer	yeah! 3 would 100% work if it was an addition transformation	17,779	112	[]
volunteer	but since it's a multiplication transformation, we need to figure out what to multiply 1 by to get 4	17,779	113	[]
volunteer	what do we need to multiply 1 by to get 4?	17,779	114	[]
student	4	17,779	115	[]
volunteer	yeah!!1	17,779	116	[]
volunteer	*!	17,779	117	[]
volunteer	so k is?	17,779	118	[]
student	okay so k = 4	17,779	119	[]
volunteer	yep!	17,779	120	[]
student	g(x) = 4f(x)	17,779	121	[]
volunteer	exactly!	17,779	122	[]
volunteer	and we can plug in 1 to see that this works-- g(1) = 4f(1) so 4 = 4*1 which is true!	17,779	123	[]
volunteer	and then for 12, how would you describe the transformation?	17,779	124	[]
student	vertical stretch	17,779	125	[]
volunteer	yep! in my experience, teachers often like to know by how much though	17,779	126	[]
volunteer	so it never hurts to add	17,779	127	[]
volunteer	by what factor are you stretching?	17,779	128	[]
student	4	17,779	129	[]
volunteer	yeah!	17,779	130	[]
volunteer	so a vertical stretch by a factor of 4	17,779	131	[]
student	omggg tyyy	17,779	132	[]
volunteer	amazing work, nice job solving through it!	17,779	133	[]
student	thank sm lol!	17,779	134	[]
volunteer	function transformations are cool but can be so annoying!	17,779	135	[]
student	no frrr	17,779	136	[]
student	i was absent on the worst days lol!	17,779	137	[]
student	anyways those were my last two questions	17,779	138	[]
student	thanks sm!	17,779	139	[]
volunteer	you're welcome! have a good night :)	17,779	140	[]
student	oh problem solved	18,198	0	[]
volunteer	yes!	18,198	1	[]
student	can we use mics instead if that's okay with you.	18,198	2	[]
volunteer	yes, of course	18,198	3	[]
volunteer	Hello	18,198	4	[]
student	Hello	18,198	5	[]
volunteer	OK	18,198	6	[]
volunteer	Um, I started, you want to know about the extent extend the uh polynomial, right?	18,198	7	[]
student	Um, yes	18,198	8	[]
volunteer	OK. Uh, do you have any like material or something uh problem I can start with or you want me to find this something.	18,198	9	[]
student	Um, give me a sec.	18,198	10	[]
student	I wanna start off as a pomo, um, what is it called? Give me a sec.	18,198	11	[]
student	Sorry.	18,198	12	[]
student	Could we start by um the Panamo arithmetic.	18,198	13	[]
volunteer	Oh yeah	18,198	14	[]
student	All right, thank you. That would be a great start.	18,198	15	[]
volunteer	OK	18,198	16	[]
volunteer	Give me one second	18,198	17	[]

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