Which answer describes the transformation of f(x)=log_{2}(x−5)−2 from the parent function g(x)=log_{2 }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**+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

CPhill
Oct 29, 2018

#2**+1 **

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

jjennylove
Oct 29, 2018