+0  
 
0
104
1
avatar

3. Given f(x)= 1/3x-8,  answer the following questions.

a. What would f(x) change to if the function is reflected across the x-axis?

b. What would the new equation (in a) change to if it is translated up 17 units?

 Dec 6, 2020
 #1
avatar+114221 
+1

y  =(1/3)x  - 8

 

a.  Note  that the points  (0,-8)    and   ( 3, -7)  are on the  graph

So...these points reflected across  the x axis become    ( 0,8)  and (3,7)

 

And the slope of the line containing these points   is  (  7-8) / (3 - 0)  =   -1/3

 

So.....the  equation of the  new line  is

 

y = (-1/3) x +  8

 

Translated  up  17 units gives  us     y = (-1/3)x +  8 + 17   →  y =(-1/3)x + 25

 

cool cool cool

 Dec 6, 2020

29 Online Users

avatar
avatar
avatar
avatar