katherinesmith
  • katherinesmith
Does the following graph represent a direct or inverse variation?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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katherinesmith
  • katherinesmith
1 Attachment
jim_thompson5910
  • jim_thompson5910
hint: direct variation graphs always go through the origin
katherinesmith
  • katherinesmith
so no?

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More answers

jim_thompson5910
  • jim_thompson5910
so which one is this graph given?
katherinesmith
  • katherinesmith
i mean so its not a direct, so it's an inverse.
katherinesmith
  • katherinesmith
can you help me with another?
jim_thompson5910
  • jim_thompson5910
sure
katherinesmith
  • katherinesmith
describe the transformations of the function \[f (x) = \frac{ 1 }{ x-6 } + 7\]
jim_thompson5910
  • jim_thompson5910
how far did you get
katherinesmith
  • katherinesmith
i didn't get anywhere. i know this much: a - stretches the function vertically by |a| c - stretches the function horizontally by |1/c| h - moves the graph horizontally k - moves the graph vertically but i don't know what numbers are what letters, per say
jim_thompson5910
  • jim_thompson5910
the basic form is \[\large f(x) = \frac{a}{c*x - h} + k\]
jim_thompson5910
  • jim_thompson5910
in this case a = 1 c = 1 h = 6 k = 7
katherinesmith
  • katherinesmith
so a stretches the function by 1, c stretches the function by 1, h moves the graph 6 spaces horizontally and k moves the graph vertically by 7 spaces. correct?
jim_thompson5910
  • jim_thompson5910
good, so the graph is shifted to the right 6 places and shifted up 7 units
katherinesmith
  • katherinesmith
gotcha
katherinesmith
  • katherinesmith
@jim_thompson5910 wait a minute, it's -6. so doesn't that make it shift to the left?
jim_thompson5910
  • jim_thompson5910
no h = +6 not h = -6
jim_thompson5910
  • jim_thompson5910
notice how it's c*x - h and not c*x + h
katherinesmith
  • katherinesmith
so if it was a positive number would it shift to the left?
jim_thompson5910
  • jim_thompson5910
that -h means your shift will be opposite of what the number is saying
jim_thompson5910
  • jim_thompson5910
if it was x+6, then yes, it would shift 6 units to the left
jim_thompson5910
  • jim_thompson5910
because x+6 is the same as x-(-6) and then you can pick out that h = -6

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