+0  
 
0
177
1
avatar+2509 

Help.

NotSoSmart  Sep 28, 2017
 #1
avatar+86943 
+1

Look at    -7x^2       and   -35x^2

 

Note that for each  x value  we put in the first function, the second function is 5 times as much  

 

For instance if x  = 1.......    -7(1)^2  = -7

But     -35(1)^2   = -35 * 1    =   -35    ......five times as much as the first one.....

 

So.....

 

g(x)  "stretches" f(x)  by a factor of 5

 

The  " +5"   at the end of the second function just translates  -35x^2  up   5 units

 

So

 

g(x)   stretches  f(x)  vertically by a factor of 5 and translates this up 5 units

 

 

y  = x  ...if we have a vertical stretch of 6 units......x  must become  6x

 

So       y =  6x

 

Look at the graph here : https://www.desmos.com/calculator/lsp6ddool2

 

Note that when x  = 2  in y = x....then  y = 2

But....when  x  = 2  in 6x........then y  = 12.......six times as much  !!!!

 

Look at the other answers

 

y  = x/6   =  y = (1/6) x      so this one actually vertically  "compresses"   the original function.....

 

y  = x + 6     just translates y = x  up 6 units

 

y  = x - 6     translates y  = x  down 6 units

 

 

Hang in there, NSS.....these are sometimes difficult for me, too.....!!!!!

 

 

cool cool cool

CPhill  Sep 28, 2017

7 Online Users

avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.