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
ANEK [815]
3 years ago
12

The graph shows g(x), which is a translation of f(x)=|x|. Write the function rule for g(x).

Mathematics
1 answer:
Kay [80]3 years ago
8 0

Answer:

  g(x) = |x| -9

Step-by-step explanation:

In the form ...

  g(x) = a|x -h| +k

the parameters are ...

  • a: the vertical scale factor (1)
  • h: the right shift of the vertex (0)
  • k: the upward shift of the vertex (-9)

The vertex of |x| is (0, 0). The vertex of g(x) is (0, -9), so there has been a vertical shift of -9 and no horizontal shift. The slopes of the lines on the graph of g(x) have a magnitude of 1, so the vertical scale is not changed from the original function (a=1).

Then the translated function is ...

  g(x) = |x| -9

You might be interested in
Name a combination of coins that is 65% of the value of a dollar. (SHOW LIst of combination<br>​
svet-max [94.6K]

We need a combination of coins that equal 65 cents.

The easiest one is 13 nickels.

Another combination is 6 dimes and 1 nickel.

A third is 2 quarters, 1 dime, and 1 nickel.

The list goes on.

---

hope it helps

4 0
3 years ago
Three times as many children as adults attended a concert on Saturday. An adult ticket cost $7 and a child’s ticket cost $3. The
Ierofanga [76]

For this case we propose a system of equations:

x: Let the variable representing the number of children in the concert

y: Let the variable representing the number of adults at the concert

According to the assistance we have:

x = 3y

According to the cost we have:

3x + 7y = 6000

Substituting the first in the second equation we have:

3 (3y) + 7y = 6000\\9y + 7y = 6000\\16y = 6000\\y = \frac {6000} {16}\\y = 375

Thus, the concert was 375 adults.

On the other hand we have:

x = 3 (375) = 1125

Thus, the concert was 1125 children.

In total they were:

375 + 1125 = 1500 people

ANswer:

The concert was 1500 people

3 0
3 years ago
The formula I = PRT where I = Interest, P = Principal, R = Rate, and T = rime use to calculate the amount of simple interest ear
monitta
\bf ~~~~~~ \textit{Simple Interest Earned}&#10;\\\\&#10;I = Prt\qquad &#10;\begin{cases}&#10;I=\textit{interest earned}\\&#10;P=\textit{original amount deposited}\\&#10;r=rate\to r\%\to \frac{r}{100}\\&#10;t=years&#10;\end{cases}&#10;\\\\\\&#10;I=Prt\implies \cfrac{I}{Pr}=t
3 0
3 years ago
I'm having trouble with this:<br><br>12b+3=-2b-4          I have to simplify the problem
ololo11 [35]
12b+3=-2b-4
12b+2b=-4-3
14b=-7/:14
b=-7/(14)
b=-1/2
4 0
2 years ago
Read 2 more answers
An 8-quart jug of water costs $6.08. What is the price per cup?
padilas [110]

Answer:

$0.19 cents

Step-by-step explanation:

First, find how many cups are in 8 quarts.

1 quart is 4 cups, so to find the number of cups, multiply 8 by 4:

8(4)

= 32 cups

Then, to find the price per cup, divide the cost by the number of cups:

6.08/32

= 0.19

So, the price per cup is $0.19 cents

3 0
2 years ago
Other questions:
  • The functions graphed show the snowfall, in inches, in two cities after x hours.
    14·2 answers
  • Identify the domain of the graph given. *Don't forget the parenthesis or brackets*​
    14·1 answer
  • Round to the nearest hundredth 12.062
    9·2 answers
  • Show that the following parallelogram is a rhombus.
    13·1 answer
  • What integer represents saving $65?
    7·2 answers
  • The ratio of the height of a skateboard ramp to the length of the skateboard ramp is 1 to 3.The height of the ramp is 15 feet.Wh
    10·1 answer
  • 100, percent is shown on the following tape diagram.How many feet are in 3 miles?
    13·1 answer
  • A(5x + 3) = b + 15x<br><br> a = (?)<br> b = 5ax + 3a - 15x (?)
    5·2 answers
  • Please Answer Quick Pleaseeeeee!! &lt;3 TYYYYYY SMMMM!!!<br> Im Almost Done After this question!!!
    10·1 answer
  • Please help will give brainliest if I can :)
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!