#a little graphing problem

37 messages · Page 1 of 1 (latest)

lean socket
humble quartzBOT
lean socket
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i've heard that the ans is 3 itself, but why?

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completing the square?

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never heard of the following equation

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:p

signal swift
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Hmmmmm

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Oh lmao nvm I'm dumb

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It is 3

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Just plug in x=0

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for some reason I saw the y intercept and thought "this is the maximum of the quadratic" bleakkekw

lean socket
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so if i ever were to find c you would just need to plug in the coordination of the y intercept?

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x value ofc

signal swift
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yeah

lean socket
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which is always 0

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alright got it, thanks!

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wait, another question

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what is the following equation of this graph tho

signal swift
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Oh nvm

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Ic

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well the roots are 2 and 6

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So the point of symmetry is 4

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So so far that's a(x-4)^2 + k

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which expands as a(x^2 - 8x + 16 + k)

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16 + k = 3/a cus we knkw constant term is 3

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a(x^2 - 8x + 3/a)

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we also know from the roots the quadratic is a(x - 2)(x - 6)

lean socket
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what does a significies here

signal swift
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12a = 3 so a = 1/4

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in the graph

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I mean the equation labeled in the graph

lean socket
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oo

signal swift
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So yeah equation is 1/4x^2 - 2x + 3

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didn't really need to use the stuff about symmetry here

lean socket
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seems something out of my league but hey thanks

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ima do more research into that formula we touched into earlier

signal swift
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mhm