+0  
 
0
50
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avatar+186 

Which answer describes the transformation of f(x)=log2(x−5)−2 from the parent function g(x)=log2 x ?

 

It is the graph of g(x) shifted 5 units right and 2 units down.

 

It is the graph of g(x) shifted 2 units right and 5 units down.

 

It is the graph of g(x) shifted 2 units left and 5 units down.

 

It is the graph of g(x) shifted 5 units left and 2 units down.

 

If you guys could explain ,I am not sure.

jjennylove  Oct 29, 2018
 #1
avatar+91027 
+1

The thing that makes x - 5   =  0    tells us the  horizontal translation  = 5  [ positive units to the right ]

 

The  " -2 "  translates this down 2 units

 

So...

 

The parent is translated   5 units to the right and 2  units down

 

See this graph that confirms this : https://www.desmos.com/calculator/yagdt639xu

 

cool cool cool

CPhill  Oct 29, 2018
 #2
avatar+186 
+1

Is this equation kind of slope intercept form ? but set up a bit different?

jjennylove  Oct 29, 2018
edited by jjennylove  Oct 29, 2018
 #3
avatar+91027 
+1

See my more complete explanation  in the answer to your  latest  post

 

 

cool cool cool

CPhill  Oct 29, 2018

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