Write the equation for the transformation of f(x) = |x| as shown in the graph.

Write The Equation For The Transformation Of F(x) = |x| As Shown In The Graph.

Answers

Answer 1

Answer:

f(x)= 3|x-3|+1

Step-by-step explanation:

Reason why it's not +3 is because it's the reverse when graphed. But that only applies for the numbers in the brackets. If it's in the brackets and it's positive, you go to the left. If it's negative, then it goes to the right. And as you see, the V isn't on the point (0 , 3), and is in fact, above it, by 1. The graph has also been stretched vertically by 3, it looks like. Hope that was helpful for you!

Answer 2

Answer:

y = 2|x-3| + 1

Step-by-step explanation:

The vertex of g(x) = |x| is at (0,0)

We have moved the vertex to ( 3,1)

y = f(x) + C  C > 0 moves it up

y = |x| + 1 for the shift up 1

y = f(x + C)  C < 0 moves it right

y = |x-3|  for the shift to the right 3

y = Cf(x)  C > 1 stretches it in the y-direction

y = 2|x| since  it is stretched by a factor of 2 in the y direction

Combining

y =2|x-3| + 1


Related Questions

Can a ray be bisected?

Answers

Such a ray that divides an angle into two equal angles is called an angle bisector.

Likewise, two rays that divide an angle into three congruent angles are called angle trisectors. Figure %:

An angle bisected and trisected On the left, angle ABC is bisected by the ray BD.

Credits to google.

In short, no.

Fred wants to make brownies. To make brownies, he needs 1/4 of a cup of flour per batch of brownies. If Fred has 10 cups of flour, how many batches of brownies can he make?

Answers

he can make like nine batches so ya ya ya ya ya Step-by-step explanation:

−15 = 5(3q − 10) − 5q

Answers

Answer:

q = 3.5

Step-by-step explanation:

-15 = 5(3q - 10) - 5q

-15 = (5*3q + 5*-10) - 5q

-15 = 15q - 50 - 5q

-15 + 50 = 15q - 5q

35 = 10q

q = 35/10

q = 3.5

Check:

-15 = 5(3*3.5 - 10) - 5*3.5

-15 = 5(10.5 - 10) - 17.5

-15 = 5*0.5 - 17.5

-15 = 2.5 - 17.5


The independent variable are the x values or domain and the dependent variable are the y values or range of a function

Answers

Answer:

Yes that is correct

A fence for a rectangular garden with one side against an existing wall is constructed by using 60 feet of fencing. What is the maximum area that can be enclosed

Answers

Step-by-step explanation:

A fence for a rectangular garden with one side against an existing wall is constructed by using 60 feet of fencing.

Perimeter of rectangle (3 sides)= 60 feet

Let 'x' be the width of the wall

[tex]Perimeter = 2(length)+2(width)\\60=2(length)+2x\\\\60-2x=2(length)\\\frac{60-2x}{2} =length\\Length =30-x[/tex]

Formula for the area of the rectangle is

[tex]Area=length \cdot width\\A=length(x)[/tex]

Replace the length we got using perimeter

[tex]A=(30-x)(x)\\A(x)= 30x-x^2[/tex]

To find out the maximum are we take derivative

[tex]A'(x)= 30-2x\\0=30-2x\\-30=-2x\\x=15[/tex]

find out second derivative to check whether x=15 is maximum

[tex]A''(x)=-2[/tex]

second derivative is negative

So, Maximum area at x=15

To find maximum area we plug in 15 for x in A(x)

[tex]A(x)=30x-x^2\\A(15)=30(15)-15^2\\A(15)=225[/tex]

So, maximum area is 225 square feet

PLEASE HELP I WILL MARK YOU BRAINLIEST

Answers

Answer:

The correct answer is A. The base of the rectangular prism must be 12 units because the height is 2 units, and 2 multiplied by 12 is 24, which is the total volume of the prism.

Which describes the graph of y= -x^2 +4

Answers

Answer:

0,4

Step-by-step explanation:

Answer:

a ‘V’ shaped graph with vertex at (2, 4), which opens up

i did the test it's rightt

Step-by-step explanation:

yesterday 15 degrees below zero. Write an integer to represent this temperature.

Answers

Answer:

-15

I hope this helped! :)

Li’s family is saving money for their summer vacation. Their vacation savings account currently has a balance of $2,764. The family would like to have at least $5,000.

Which inequality can be used to determine the amount of money the family still needs to save?

Answers

Answer:

B is the answer  ppl  Answer B  hope it help you all ^U^

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

cause i said so have a problem call my lawyer......

Plz I need it now I am stuck

Answers

Answer:

116

Step-by-step explanation:

The ceiling in Mitchell’s bedroom measures 12 feet by 10 feet 11 inches. What’s the total area of the ceiling in square inches?

Answers

Answer: 12x10x11 I think so 1320

Step-by-step explanation:

The total area of the ceiling is 18864 inches^2

8 x 10^4 is how many times as large as 4 x 10^-5

Answers

Answer:

2 x 10^9

Step-by-step explanation:

There 8 × 10⁴ would be 10⁹ times as large as 4 × 10⁻⁵ which is determined by the division operation.

What is the division operation?

In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings or to determine how many people are in each category after a fair distribution.

For example 4/2 = 2

We have to determine 8 × 10⁴ is how many times as large as 4 × 10⁻⁵

Apply the division operation to get

⇒ 8 × 10⁴ ÷  4 × 10⁻⁵

⇒ (8 × 10⁴) /  (4 × 10⁻⁵)

Reduce the term of the numerator

⇒ ( 10⁴) / (10⁻⁵)

⇒ ( 10⁴) × (10⁵)

⇒ ( 10⁴⁺⁵)

⇒ 10⁹

Hence, there 8 × 10⁴ would be 10⁹ times as large as 4 × 10⁻⁵ which is determined by the division operation.

To learn more about the division operation click here :

brainly.com/question/25870256

#SPJ2

Please help it in fraction form

Answers

The answer is 105 4/61

If you do the long division correctly, you will get 105 and all you have is 4 left.

Since you are dividing by 61, you do 4/61.

So that is how you get 105 4/61

I hope this helps!

Given the equation: y=(x-1)(x+3). what are the x-intercepts? *

Answers

Answer:(

(1,0),(-3,0)

Step-by-step explanation:

whats the answer to this problem 9x+10=2001-X

Answers

Answer: x=1991/10

Step-by-step explanation: Step 1: Simplify both sides of the equation.

9x+10=2001−x

9x+10=2001+−x

9x+10=−x+2001

Step 2: Add x to both sides.

9x+10+x=−x+2001+x

10x+10=2001

Step 3: Subtract 10 from both sides.

10x+10−10=2001−10

10x=1991

Step 4: Divide both sides by 10.

10x

10

=

1991

10

x=

1991

10

Answer:x=199.1

Step-by-step explanation:

please help! having trouble with this question. will give 5 stars, thanks, and brainliest.

Answers

Answer:

-4 is the first,-64 is the second,0/14, 1.2,2/3,25/11,4,25

Step-by-step explanation:

Answers

Answer:

did you post anything on this I see nothing?

Write the equation g(x) of the transformation of the parent graph f(x) = |x| stretched horizontally by a factor of 3.

Answers

Answer:

g(x) = |1/3x|

Step-by-step explanation:

f(x) = |x|

y = f(Cx) 0 < C < 1 stretches it in the x-direction

g(x) = |1/3x|

We can start with: f(x) = |x|

0 < c < 1 means x-direction stretch

y = f(cx)

3 unit horizontal stretch

After: g(x) = |1/3x|

Best of Luck!

.666 repeating as a fraction
please use equation

Answers

Answer:

2/3

Step-by-step explanation:

6/9 divide three on the numerator and denominator

It will give you 2/3

to check if its right

divide 2 with 3 and you will  0.666 repeating.

What’s the answer for the problems 11-15 in the picture

Answers

Answer:

11.

A) EZ Pay Plan=0.15x

B) 40 to Go Plan=0.05x+40

12.

0.15x=0.05x+40

13.

x=400 minutes

14. The solution is the amount of minutes that it takes for both plans to cost the same amount. X has one solution, so it accounts for both equations.

15. EZ Pay Plan

Step-by-step explanation:

For 11, what you need to know is that the slope (coefficient of x) is the price per minute. 0.15 per minute and 0.05 per minute are charged, and therefore are the slope for those equations. The 40 on B is because it is the y intercept. No matter how long you use the object, you will always pay at least 40 dollars.

For 12, you have to find x for the minutes used.

For 13, if you do the process algebraically,

0.15x=0.05x+40  

0.10x=40     (subtracted 0.05x from both sides)

x=400       (divided 0.10x and 40 by 0.10)

For 14, (no explanation)

For 15, if you substitute 200 as x, you would see that the EZ Pay Plan would make you pay 30 dollars while the 40 To Go Plan would make you pay 10+40 dollars, which 30<50.

(sorry for late response)

1 is subtracted from a number

Answers

then the answer would be one less

pls help me with thu question​

Answers

Answer:

u r girl

khdlhdohdkhdohdohdlgdogdkgdkgdkgskgdkgskgskydoysoydoydoydoydoydlydoydoydoydpydoydpyd

Use elimination to solve and match each system of equations to the correct solution. 3x+y=11 5x-y=21 Help with this one I’ll give u brainliest

Answers

Answer:

Step-by-step explanation:

3x + y = 11

5x - y = 21

8x = 32

x = 4

3(4) + y = 11

12 + y = 11

y = -1

(4, -1)

Name a pair of complementary angles (there may be more than one pair).
<1 and <5
<1 and 2
<2 and <4
<3 and <4
<5 and <4

Answers

Answer:

  ∠3 and ∠4

Step-by-step explanation:

In this diagram, angles 3 and 4 are the only pair whose sum is 90°.

In this given figure, [tex]\angle{3}[/tex] and [tex]\angle{4}[/tex] are the only pairs of angles that have the measure of 90°.

So,[tex]\angle{3}[/tex] & [tex]\angle{4}[/tex] are the pair of angles.

▬▬▬▬▬▬▬▬▬▬▬▬

use inductive resoning to predict the next number 1,6,-4,1,-9,-4,-14,-9,-19

Answers

Answer:

-14

Step-by-step explanation:

the pattern is y+5=x, x-10=z

so,

1(+5)=6

6(-10)=-4

-4(+5)=1

1(-10)=-9

-9(+5)=-4

What is the slope of the equation: x = -2

Answers

Answer:

undefined

Step-by-step explanation

it is a vertical line and has no defined slope

Help ASAP pls
Three cars are for sale car a £14240 or car b £15870 or car c £11690 The price of car is rounded to the nearest £100. Which price changes by the greatest amount

Answers

Answer:

1 st car is your answer to the question

Vivian's sales territory produced $1.8
million in sales during the year. How
much does she earn if she has a base
salary of $50,000 plus 3% on sales over
$1.5 million?
a.)
$60,000
b.)
$59,500
c.)
$59,000
d.)
$58,500

Answers

the answer is c. 59000

Find the value of the following:|-15|.​

Answers

Answer:

The answer is 15 because that absolute value for anything is 15. No matter what number

Step-by-step explanation:

help me if u can q is below

Answers

Step-by-step explanation:

C = 25p

p = number of people

C = Total cost of admission

For 4 people, Total cost is

C = 25 × 4 = 100 dollars

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