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Need help with this!

 Sep 24, 2017
 #1
avatar+96106 
+2

 

The given function transforms the parent function, y = abs (x),  in the following ways

 

a. Reflects the function across the x axis [ due to the negative sign]

b. Vertically "compresses" the function by (1/2)

c. Shifts this end result up by 3 units

 

"Vertex"  =  ( 0,3)

Domain  =     ( -infinity, +infinity)

Range = ( -infinity ....1,2,3]     set builder notation 

Range =  ( -infinity, 3 ]   interval notation

Zeroes   x = -6  ,  x  = -6

Y intercept = occurs at the vertex ⇒  (0,3)

Intervals of increase  = (- infinity, 0)

Intervals of decrease = (0, infinity )

The end behavior in both directions is toward -infinity

 

Here's the parent graph and the given graph : https://www.desmos.com/calculator/tb3pt4duib

 

 

cool cool cool

 Sep 24, 2017

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