amistre64
  • amistre64
This was fuunn!!! Create an equation of absolute values with the given properties for the graph slopes from left to right are: -4, -2, 1, 0, 4 you can define your own vertexes, but it has to match those slopes.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
amistre64
  • amistre64
no cowering away from a challenge now ;)
anonymous
  • anonymous
lol just by looking at it made me slap myself lol
amistre64
  • amistre64
:)

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amistre64
  • amistre64
with 5 slopes, we would need to setup up a system of 5 equations in 5 unknowns i finally understood the dynamics to determine the slopes this morning
anonymous
  • anonymous
well if you can explain how to do it, ill really appreciate it
amistre64
  • amistre64
spose we name the parts for each slope as: a,b,c,d we can construct the equations as such -a-b-c-d = -4 -a-b-c+d = -2 -a-b+c+d = 1 -a+b+c+d=0 this gives us a solutions to:\[y=a|x-v_1|+b|x-v_2|+c|x-v_3|+d|x-v_4|\] where the vs are the vertexes from left to right as well
amistre64
  • amistre64
since the first and last slopes are just multiples of each other, we can do this one with 4 equations
anonymous
  • anonymous
wow never taught of it this way lol.. looks like i have another problem to copy and save in my folder lol
amistre64
  • amistre64
i had never had the notion to even consider this until a post about it yesterday that i was on
amistre64
  • amistre64
i sat there this morning with my trusty little ti83; and wrote out an equation to test the dynamic with y = 2|x-v1|+|x-v2|+2|x-v3| and i found out that the corresponding graph had slopes between verts that matched up with: -(2+1+2) -(2+1-2) -(2-1-2) -(-2-1-2)
amistre64
  • amistre64
replacing my known slopes with a b and c defined a general setup :) yay
anonymous
  • anonymous
your amazing lol
amistre64
  • amistre64
im curious if i introduce a derivative as a slope if i can get a section between verts to be a curve
amistre64
  • amistre64
rref{{-1,-1,-1,-1,-4},{-1,-1,-1,1,-2},{-1,-1,1,1,1},{-1,1,1,1,0}} the wolf gives me a matrix read out of the abcd so that y = 2|x+2| -|x|/2+3|x-2|/2+|x-5| - 10 ; - 10 just to drop it down hmm, but its reversed, right to left lol http://www.wolframalpha.com/input/?i=y+%3D+2%7Cx%2B2%7C+-%7Cx%7C%2F2%2B3%7Cx-2%7C%2F2%2B%7Cx-5%7C+-+10
amistre64
  • amistre64
i guess we can forgo the negative in front .... of my setups :)

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