1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Irina-Kira [14]
1 year ago
15

Let f(x)= lxl-3 Write a function g whose graph is a translation 5 units down of the graph of f.

Mathematics
1 answer:
soldier1979 [14.2K]1 year ago
4 0

If the function "f(x) = lxl-3" were translated five units down the graph, g(x) would be lxl-8.

We must be familiar with function transformation and different forms of transformation in order to properly understand the question. When a function is transformed, the graph's curve either "moves to the left/right/up/down," "expands or compresses," or "reflects" to create a new function. For instance, by simply pushing the graph of the function g(x) = x2 up by 7 units, the graph of the function f(x) = x2 + 7 is generated. It is advantageous to convert a function since it saves us from having to create a new function from begin. Function transformations typically fall into one of three categories: 1. 2nd translation 3. dilation Reflection

The given query is about Translation of Function. To create a new function, translation moves the curve up or down and modifies its position. Translation comes in two flavours. Vertical and horizontal translation.

When the curve changes, "the function" shifts upward or downward. By doing this, a function of the form y = f(x) is transformed into f(x) ± k, where k stands for the vertical translation. In this case, the function moves up by k units if k > 0.

The function goes down by 'k' units if k < 0.

The curve in the given problem goes down by 5 units, so k = 5. Which is a vertical translation scenario. Consequently, y = f(x) becomes f(x) - k = g(x) and g(x) = f(x) - k = lxl-3 -5 = lxl - 8.

Therefore the new function after translation is g(x) =  lxl - 8.

Learn more about function and types of transformation such as translation, dilation etc here

brainly.com/question/26092237

#SPJ9

You might be interested in
Can someone help me pls
Vsevolod [243]

A..

NOT YOU COMMENTING ON POST JUST TO GET POINTS....

6 0
3 years ago
Read 2 more answers
Find four consecutive natural numbers if you know that the product of the first two is 38 less than the product of the following
Fynjy0 [20]
<span>Because the four numbers are consecutive, we can call the first one x, and the other three are x+1, x+2, and x+3, respectively. x * (x+1) = (x+2) * (x+3) - 38 x^2 + x = x^2 + 5x +6-38 x^2 + x = x^2 + 5x - 32 -4x = -32 x=8 The four numbers are 8, 9, 10, and 11 check solution: 8*9=10*11-38 72=110-38 72=72</span>
8 0
3 years ago
Read 2 more answers
What is a whole number
Vlada [557]

Answer:

Whole numbers are positive numbers (this includes 0) that do not have decimals or fractions to them.

Example:

1, 2, 3, 4, 5,etc are all whole numbers, because they are positive and do not have decimals or fractions

1.25 would not be a whole number, because although it is positive, it has a decimal.

8 0
3 years ago
A group of church members chartered a bus for $832. After making the arrangements, 6 more members decided to join the excursion
g100num [7]
Let x = # of original members
Cost per person (originally) = 832/x
Cost per person after 6 more people = 832/(x+6)
Solve 832/x=832/(x+6) +6  (because the cost was reduced by 6 
Solve for x.
x = 26 or -32 (but x is number of members, so it can't be negative)
# of original members is 26.
Original cost is 832/26 = $32 per person.
3 0
3 years ago
Which of these is an example of a discrete random variable?
34kurt

Answer:

c

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Please Explain/Show your work!
    5·1 answer
  • 0.25 multiplied by 15 = ?<br> What is ?
    7·2 answers
  • X is 6 more than twice y.
    14·2 answers
  • 4x - 5y = 15 solve for y​
    13·1 answer
  • Which sentences are punctuated correctly? Select 2 options.
    5·2 answers
  • How do you simplify 1 17/18
    5·1 answer
  • I’m desperate. Helppp
    5·1 answer
  • Help how do I do this!!!!
    10·2 answers
  • PLEASE HELP!!!!!! WHATS THE ANSWER
    6·1 answer
  • Can someone look at this image?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!