anonymous
  • anonymous
Use shifts of power functions to find a possible formula for each of the graphs below. Assume the graphs are not being stretched. Attached are two pictures of A) graph and B) Graph
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
1 Attachment
anonymous
  • anonymous
1 Attachment
ash2326
  • ash2326
A) standard equation of a parabola with vertex h and k y=a(x-h)^2+k here the vertex is -3,-2 so h=-3 and k=-2 hence \[y=a(x+3)^2-2\] here no information for a is given since the parabola is opening downeards, a is negative \[y=a(x+3)^2-2\]

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ash2326
  • ash2326
here a is negative
anonymous
  • anonymous
okay let me look it over
anonymous
  • anonymous
do i put a in the y= equation?
ash2326
  • ash2326
yeah it's important
anonymous
  • anonymous
okay cool! thanks. How does B look
ash2326
  • ash2326
5 minutes, I'll take a look into it
anonymous
  • anonymous
okay thanks
ash2326
  • ash2326
sorry took long, dude I don't recognise this curve. Let me ask others for help
anonymous
  • anonymous
thanks!
ash2326
  • ash2326
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anonymous
  • anonymous
where did u go?
ash2326
  • ash2326
Hi, sorry kept you waiting I think this is tan x shifted y= 7+tan(x-14) as at x= 14 y=7
anonymous
  • anonymous
but I dnt think i would write it with tan in it
ash2326
  • ash2326
I've an idea let me work on it
anonymous
  • anonymous
thanks so much
anonymous
  • anonymous
just like the other on u showed me y=x^2, i think this type of graph is y=x^3
ash2326
  • ash2326
This is also a form of x^2 , it's vertex is (14,7) so y= (x-14)^2+7 for x>=14 and -(x-14)^2+7 for x<14
anonymous
  • anonymous
is that part the answer?
ash2326
  • ash2326
yeah for x>=14 we have a different function and for x<14 we have different
anonymous
  • anonymous
so it has that negative sign in front
ash2326
  • ash2326
yeah
anonymous
  • anonymous
ok thanks
ash2326
  • ash2326
welcome , do check them with your teacher and tell me if i got it right
anonymous
  • anonymous
butthe graph is positive
ash2326
  • ash2326
- sign is bringing the graph downward, it's initially positive, then it becomes negative . The negative part is not shown in the graph
anonymous
  • anonymous
okay thanks

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