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
nasty-shy [4]
9 months ago
10

Pls someone help me figure out how to do this!

Mathematics
1 answer:
Dafna11 [192]9 months ago
6 0

Answer:

  g(x) = -3/5|x -6| +4

Step-by-step explanation:

Given the graph of an absolute value function, you want the equation for it.

<h3>Transformations</h3>

The desired form is ...

  g(x) = a|x -h| +k

The parameters a, h, k represent different features of the transformation of the graph of the parent function f(x) = |x|.

<h3>Vertical scale factor</h3>

The parameter 'a' is the vertical scale factor. There are two features of this graph that tell you what the value is.

  • the slope of the lines
  • the direction of opening

The line on the left side of the vertex seems to intersect points (1, 1) and (6, 4). The slope of this line can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (4 -1)/(6 -1) = 3/5

The graph opens downward, meaning that the parent absolute value function has been reflected across the x-axis. In other words, the sign of 'a' is negative. Its magnitude is the slope we just found, so ...

  • a = -3/5

<h3>Translation</h3>

When a function is translated h units horizontally and k units upward, the transformed function becomes ...

  g(x) = f(x -h) +k

We notice the vertex of the graph has moved from (0, 0) to (6, 4), so we have ...

  • h = 6
  • k = 4

<h3>Equation</h3>

Now that we know the values of the parameters in the equation, we can write it as ...

  g(x)=a|x-h|+k\\\\\boxed{g(x)=-\dfrac{3}{5}|x-6|+4}

__

<em>Additional comment</em>

Finding the vertical scale factor will work differently for different kinds of functions. In general, you want to find some vertical feature of the original function that you can recognize in the transformed function.

Here, that "feature" is the fact that an absolute value function has a rise of 1 for each run of 1 (a slope of 1) to the right of the vertex. This graph has a "rise" of -3 for a run of 5 to the right of the vertex. Effectively, the graph of the original absolute value function has been scaled by a factor of -3/5.

You might be interested in
Pls help^^^^ <br> i dont understand this hw
7nadin3 [17]

Answer:

h=6y/q∧3

Step-by-step explanation:

8 0
2 years ago
What is and equation line that passes through the point (8,-5) and is parallel to the line 5x+4y=24
GenaCL600 [577]

Answer:

5x + 4x = 20

Step-by-step explanation:

You have your x and y values and if you substitute them in you find yourself with 40 - 20 = 24 this doesn't make sense. So you get another answer which can be set to 20 and 40 - 20 = 20 therefore you you can make sure that your line intersects with your x and y values.

4 0
3 years ago
Please answer this correctly without making mistakes
AnnZ [28]

Answer:

10.99 inches

Step-by-step explanation:

7*2=14

diameter=14

circumference=diameter*pi

14*3.14=43.96

quarter circle

43.96/4=10.99

10.99 inches

7 0
3 years ago
Read 2 more answers
Twelve friends share 4 pizzas equally what.fraction of a pizza does each friend get?
Sav [38]
1/4 .....divide the pizza by 4 ...so you get 1/4 ...taken by each friend !
4 0
3 years ago
Read 2 more answers
Which graph is the graph of this function? 
mihalych1998 [28]
Which graph is the graph of this function? 

f(x)= { \frac{1}{2}x-2

if x \leq 6

So the graph is A.


Hope i've helped!

6 0
3 years ago
Read 2 more answers
Other questions:
  • Shannon and Kelly spent $135 on gift certificates for their friends during the holidays. If this amount is 5/7 their total spend
    13·1 answer
  • Courtney walks 4 laps around 1/4 mile back. 1 mile is 5280 feet, how far did she walk
    13·1 answer
  • Jus need help with exercise 3 ONLY
    9·1 answer
  • A baker mixes a 21-pound batch of dough that contains 3 pounds of sugar. Approximately how many pounds of sugar must be added fo
    8·1 answer
  • Evaluate the following expression.<br> (5x)"<br> 1
    14·1 answer
  • Julie says that she can perform a magic trick with numbers. She asks you to pick a whole number, any whole number. Square that n
    9·1 answer
  • If the y-intercept of your quadratic is (0,5) and your axis of symmetry is x=4,
    9·1 answer
  • PLS PLS PLS HELP ME ​
    13·2 answers
  • Will give brainlest!!GIVE THE HORIZONTAL ASYMPTOTE (Y = ?) THE DOMAIN
    6·1 answer
  • Please help, will give Brainly at if correct
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!