+0  
 
0
94
1
avatar

 

Need help with this!

Guest Sep 24, 2017
Sort: 

1+0 Answers

 #1
avatar+79654 
+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

CPhill  Sep 24, 2017

10 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details