SOLUTION: The graph of y={{{1/5}}}|x-4|-5 can be obtained from the graph of y=|x| by the transformations we have studied. a. What is the horizontal shift b. By what factor is the graph str

Algebra ->  Rational-functions -> SOLUTION: The graph of y={{{1/5}}}|x-4|-5 can be obtained from the graph of y=|x| by the transformations we have studied. a. What is the horizontal shift b. By what factor is the graph str      Log On


   

Question 626963: The graph of y=1%2F5|x-4|-5 can be obtained from the graph of y=|x| by the transformations we have studied.
a. What is the horizontal shift
b. By what factor is the graph stretched or shrunk vertically and how is it reflected.
c. What is the vertical shift
Answer by Edwin McCravy(20064) About Me  (Show Source):
You can put this solution on YOUR website!

The graph of 

y = 1%2F5|x - 4| - 5 

can be obtained from the graph of 

y = |x| as follows:

graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Cabs%28x%29%29, which is the graph of y = |x| to this:

graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C%281%2F5%29abs%28x%29%29, which is the graph of y = 1%2F5|x| the above graph shrunk vertically by a factor or 1%2F5 to this:


graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C%281%2F5%29abs%28x-4%29%29, which is the graph of y = 1%2F5|x - 4|, the above graph shifted horizontally right 4 units to this:

graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C%281%2F5%29abs%28x-4%29-5%29, which is the graph of y = 1%2F5|x - 4|-5, the above graph shifted vertically down 5 units.

There is no reflecting in either axis.

Edwin