(-3,-6) is a point on y=f(x) determine a point on the graph y=3 abs(f(x))+1

  • Thread starter Thread starter aisha
  • Start date Start date
  • Tags Tags
    Graph Point
Click For Summary
SUMMARY

The discussion focuses on transforming the point (-3, -6) on the function y = f(x) to find its corresponding point on the graph of y = 3 * abs(f(x)) + 1. The correct transformation yields the point (-3, 19). By substituting x = -3 into the modified equation, the calculation proceeds as follows: y = 3 * abs(-6) + 1, resulting in y = 19. This confirms that the absolute value affects the output positively, leading to the final point on the new graph.

PREREQUISITES
  • Understanding of absolute value functions
  • Familiarity with function transformations
  • Basic algebra skills for substitution and evaluation
  • Knowledge of coordinate systems in graphing
NEXT STEPS
  • Study the properties of absolute value functions
  • Learn about function transformations, including vertical and horizontal shifts
  • Explore graphing techniques for piecewise functions
  • Practice evaluating functions at specific points
USEFUL FOR

Students in algebra, mathematics educators, and anyone seeking to understand function transformations and absolute value effects on graphing.

aisha
Messages
584
Reaction score
0
(-3,-6) is a point on y=f(x) determine a point on the graph y=3 abs(f(x))+1

is it

(3,3)
(3,19)
(-3,3)
(-3,19)

how do u do this one?

Is it (3,19)? I don't know am I supposed to keep the points negative or do i make them positive because of the absolute bars? If I keep the point -6 and multiply by 3 and add 1 I don't get any of these answers, SOMEONE PLZ HELP QUICK!
 
Last edited:
Physics news on Phys.org
The answer is : (-3, 19)
you give the x=-3 and you get the 19.
 
I don't understand HOW?
 
(-3,-6) is a point on y=f(x) determine a point on the graph y=3 abs(f(x))+1
.

so basically this means that when you use the value x=-3, you get the value, y=-6. So if you look at this equation, y=3*abs(f(x)) + 1, you want to plug in the value of y when x is equal to -3.

y= 3*abs(-6)+1 = 3*6+1 = 19.
So when x=-3, y= 19
 
I get it THANKS SOO MUCH
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 5 ·
Replies
5
Views
2K
Replies
4
Views
3K
Replies
42
Views
3K
  • · Replies 12 ·
Replies
12
Views
3K
Replies
10
Views
2K
  • · Replies 11 ·
Replies
11
Views
2K
Replies
11
Views
1K
Replies
8
Views
4K
Replies
2
Views
1K