sloppycanada
  • sloppycanada
Following graph is equal to what equation? I believe for this one it is equal to - http://gyazo.com/475495bdd392f70271f92a9bbc31f562
Mathematics
schrodinger
  • schrodinger
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sloppycanada
  • sloppycanada
|dw:1435756207246:dw|
sloppycanada
  • sloppycanada
@UsukiDoll Help me, this is just checking what I've done for these evil review problems.
UsukiDoll
  • UsukiDoll
oh this is a graph transformation.. so we compare f(x) = 2^x and create some sort of transformation to have the blue line

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sloppycanada
  • sloppycanada
Yup! I have five of them on this torturous review packet
UsukiDoll
  • UsukiDoll
what do you notice? we have the original equation but there's something going on for the blue line
UsukiDoll
  • UsukiDoll
is there a rotation or a reflection?
sloppycanada
  • sloppycanada
I think it's a reflection.
UsukiDoll
  • UsukiDoll
yes we are reflecting.. Are we reflecting along the y axis or the x axis?
UsukiDoll
  • UsukiDoll
for reflection y=f(-x) reflection along the y axis y= -f(x) reflection along the x axis
sloppycanada
  • sloppycanada
X-axis.
UsukiDoll
  • UsukiDoll
woohoo! but we're still not done.. we may have reflect but is the reflected graph going down, up, left, or right ?
sloppycanada
  • sloppycanada
Right?
UsukiDoll
  • UsukiDoll
probably not because if you're shifting to the right.. we won't have an intersection point which is (0,1)
UsukiDoll
  • UsukiDoll
|dw:1435757215889:dw|
UsukiDoll
  • UsukiDoll
so what direction do I need to go so my new graph and the old graph intersect at (0,1)?
UsukiDoll
  • UsukiDoll
oy yah |dw:1435757310996:dw|
sloppycanada
  • sloppycanada
Move it up!
UsukiDoll
  • UsukiDoll
yeah . by how many units?
UsukiDoll
  • UsukiDoll
so now we have g(x) = -2^x + ?
sloppycanada
  • sloppycanada
3?
UsukiDoll
  • UsukiDoll
ok.. but the intersection point will be (0,2) instead.
sloppycanada
  • sloppycanada
Okay. So 2.
UsukiDoll
  • UsukiDoll
mhm! so now our g(x) = -2^x+2
UsukiDoll
  • UsukiDoll
it's 3:33 in the morning.. so I'm going to take a break from answering questions and log off to go bed...
sloppycanada
  • sloppycanada
I think that's it for the problem right? Thanks a bunch you've been really helpful.
UsukiDoll
  • UsukiDoll
yup that's it... you can check this graph for reference.

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