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