If the graph of y=|x| is compressed vertically by a factor of 1/3, reflected about the x-axis and translated 3 unit(s) left and 5 unit(s) up, what is the equation of the new graph?

Answers

Answer 1

Answer:

Y= -1/3 |x+3| +5

Step-by-step explanation:

An absolute value will always make a V line.

In your particular problem it wants you to reflect it over the x axis, and to do this you simply need to place a negative.

A negative in the beginning of the problem is only there to say whether you flip your line or not, and this means you don't have to worry about it any more.

What it looks like so far: Y= -

Next it wants you to compress the line vertically by 1/3

A number that causes your line to compress is always less than one

A number that stretches your line would be 1 or more

This number is always placed right next to the left of the parenthesis or absolute value.

What it looks like so far: Y= - 1/3

Now we want the line to move left 3 units.

We are now inside of the absolute value because this is where we move the line left or right. This can get a little confusing, but once you get it then you don't forget it.

Inside the line.. a -# moves right and a +# moves left.

This number should be placed inside the absolute value and to the right of the x.

What it should look like: Y= - 1/3 |x + 3|

Now they want us to move the line up by 5 points.

To the outer right side of the absolute value is where we move things up or down.

To move a number up you need to place a + sign with however many places it wants you to move to the right of the sign, but to move the line down you need to place a - sign with however many places it wants you to move to the right of the sign.

To move this up you simply need to place a +5 to the outer right side of the absolute value.

What you should end up with: Y= - 1/3 |x+3| +5


Related Questions

Answer my math question I asked so many times I lost most of points by

Answers

Answer:

i think 3x+12=7x y

Step-by-step explanation:

at a school
number of boys:number of girls= 11:9
There are 124 more boys than girls.
Work out the total number of students at the school

Answers

Answer:

Total students  = 1240

Step-by-step explanation:

Boys : girls = 11 : 9

Number of boys  = 11x

Number of girls  = 9x

11x - 9x = 124

       2x = 124

         x = 124/2

        x = 62

Number of boys  = 11x = 11 *62 = 682

Number of girls  = 9x   = 9*62    = 558

Total students  = 682 + 558 = 1240


A quadratic function passes through the point (-7, -16) and has a vertex at (-6,
-18). Write the function in the form y = ax2 +bx+c. What are the values of a, b and
c?

Answers

Answer:

4 6 7

Step-by-step explanation:

;-;

List the angles of triangle WXY in order from smallest to largest.

Answers

Answer:  W, Y, X  (choice D)

=======================================================

Explanation:

The square angle marker means angle X is 90 degrees.

For any triangle, the three angles always add to 180

X+Y+W = 180

90+(2x+9)+(2x+1) = 180

4x+100 = 180

4x = 180-100

4x = 80

x = 80/4

x = 20

Use this x value to find the other angles

angle Y = 2x+9 = 2*20+9 = 49

angle W = 2x+1 = 2*20+1 = 41

As a check,

X+Y+W = 90+49+41 = 180

which confirms we have the right angles.

The last step is to sort the angles from smallest to largest

That would lead to W, Y, X which is choice D

The correct answer is : W, Y, X
I also attached the work on how I solved for x!

A pack of 8 batteries costs £5.99 How much does each battery cost?

Answers

Answer:

£0.75 is how much each battery costs.

Step-by-step explanation:

£5.99 ÷ 8 = £0.748

Answer:

75 cents

5.99 divided by 8 is .74 which can be rounded to .75 which is also 75 cents

Write n times 7 as an expression

Answers

Answer:

7n

Step-by-step explanation:

Answer:

n x 7

Step-by-step explanation:

hope this helps

whats 1 + 77 just for you guys to get points :)

Answers

the answer is seventy eight

Answer:

78 !!!!

Step-by-step explanation:

r/n + t=4v solve for r

Answers

Answer:

hi

Step-by-step explanation:

r=4vn-tn

Zahara mixed 5 quarts of dry ingredients and 2 quarts of water and a batch of concrete .She ran out of the mixture before finishing her project so she made another batch 10 quarts of dry ingredients . How many quarts of water does zahara need to add to keep the consistency the same? Complete the ratio square

Answers

Answer: 4 quarts.

Step-by-step explanation:

Given data:

Amount of dry ingredients = 5 quarts.

Amount of water in the mixture = 2 quarts.

Solution:

Let’s a represent the amount of dry ingredients.

Let b represent the amount of water

For first Batch

a/b = 5/2.

b = 2/5a ....... equation 1

For second Batch

a= 10

substitute a into equation 1 to solve for b

b = 2/5(10)

b = 4.

The ratio for batch b = 10/4.

Zahara needs to add 4 quarts of water to the mixture.

Answer:4 quarts!

Step-by-step explanation:

Help ???????????????

Answers

Answer:

A

Step-by-step explanation:

use slope formula hope this helps

how many rides can u go on for $10.00 if each ride is $0.25 ?​

Answers

Answer:

40

Step-by-step explanation:

0.25x40=10 dollars

I need help with solving this problem please I will mark brainliest if correct !!!

Answers

Answer:

Supplementary angles

Step-by-step explanation:

The 2 angles are same- side interior angles and are supplementary

A color printer prints 28 pages in 8 minutes.
How many pages does it print per minute?

Answers

Answer: 3.5 pages per minute

Answer:

use division

Step-by-step explanation:

this question is pretty simple, all you need to do is the opposite of multiplication, which is........division.

so divide 28 by 8 = 3.5

so it prints 3.5 (3 and a half) pages per minute.

Hi, I'm new can I get marked as brainlieser? It would be highly appreciated.

Hope my answer helps :)

P = $660, R = 9%, T = 2 years
I = ?



((Honestly I don't understand anything, I was busy throwing up while my teacher was showing us how to do it))​

Answers

Answer:

$ 118.80

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 9%/100 = 0.09 per year,

then, solving our equation

I = 660 × 0.09 × 2 = 118.8

I = $ 118.80

The simple interest accumulated

on a principal of $ 660.00

at a rate of 9% per year

for 2 years is $ 118.80.

I need to find x and y

2x+4y=8
x=3y-6​

Answers

Answer:

(x, y) = (0 , 2)

Step-by-step explanation:

Answer:

use elimination or substitution.

Step-by-step explanation:

The consecutive angles of a rectangle are supplementary
a.) Sometimes
b.) Never
c.) Always

Answers

Answer:c

Step-by-step explanation:

I m s o d u m b t h a t i c a n t e v e n d o 1 + 1 s o i n e e d h e l p

Answers

Answer:

1 + 1 = 2

Step-by-step explanation:

:)

Answer:

1 + 1 = 2

Hope it Helps

I NEED AN ANSWER ASAP A surveyor finds the angle of elevation to the top of a building to be 75°. He is 20 meters from the base of the building. How tall is the building?​

Answers

Answer: 74.6

we draw a right triangle ABC, have: ∠ABC = 90°,  AB = 20 and ∠BAC = 75°, the height of the building is BC

we also have: tan 75° = BC/AB = BC/20

=> BC = tan 75°. 20 = 40 + 20√3 ≈ 74.6

Step-by-step explanation:

The length of a rectangle is 6 centimeters less than the width. The perimeter is 206 centimeters. Find the width and the length.

Answers

Answer:

34.3333333333

Step-by-step explanation:

10) Find the circumference of the circle.
Use a 3.14

Answers

Answer:

50.24

Step-by-step explanation:

2*3.14*8=50.24

2*pi*r= circumference

There are 60 students in the school band. 30% of them are sixth graders, 50% are seventh graders, and the rest are eighth graders. a. How many band members are sixth graders? b. How many band members are seventh graders? c. What percentage of the band members are eighth graders? Explain your reasoning.​

Answers

Answer:

there is 12 6th graders 30 7th graders and 12 8th graders and 20% is 8th graders please mark brainlyist

5
4 cm
4 cm
2 cm
6 cm
Help! I will give the Brainly

Answers

Answer:

sry i hope u find what your looking for

hdhddhhskalsk bshshshs

Answers

Answer
hdhddhhskalsk bshshshs

Step-by-step explanatio
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Match each step of the proof with the justification for the step.
[ Select]
NM -NP; NR bisects ZMNP
ZMNR PNR
[ Select]
V
[ Select]
NRNR
Therefore, ANMRSANPR
[ Select]
ZMSZP
[ Select]

Answers

Answer:

uh

Step-by-step explanation:

Find the value of c that completes the square

x^2-x+c

Please help me with how to do this, and show me. Thank you.

Answers

Answer:

The value of c is 1/2

Step-by-step explanation:

We have to find the value of c that completes the square  [tex]x^2-x+c[/tex]

So, completing square is of form: [tex]a^2-2ab+b^2=(a-b)^2[/tex]

In the question given the value c can be found by breaking the middle term. we are given -x while the general formula is 2ab for middle term so, our c = 1/2 i.e 2(x)(1/2) we get x so, solving:

[tex]x^2-x+c\\=x^2-2(x)(\frac{1}{2})+(\frac{1}{2})^2-(\frac{1}{2})^2\\=(x-\frac{1}{2})^2-(\frac{1}{2})^2[/tex]

The value of c is 1/2

Pls can someone help me expand:(x+5)(x-8) in quadratic equation

Answers

(x + 5)(x - 8)

= x² + {5 + (-8)}x + 5(-8)

= x² - 3x - 40

The area of a circular garden is 121pi
square feet. How much fencing would
be needed to enclose the garden?

Answers

Answer:

22 pi ft

Step-by-step explanation:

We can use the area to find the radius

A = pi r^2

121 pi = pi r^2

Divide each side by pi

121 = r^2

Take the square root

sqrt(121) = sqrt(r^2)

11= r

Now we need to find the circumference

C = 2*pi*r

C = 2* pi *11

C = 22 pi ft

Answer:

1. Use area to find radius.

  A =  π r^2

  121 π = π r^2

2. Divide each side by π.

   121 = r^2

3. Take in the square root .

    [tex]\sqrt{121} = \sqrt{r^{2} }[/tex]

   11 = r

4. Find the circumference .

   C = 2 × π × r

   C = 2 × π × 11

    C = 22 π ft

What is the slope of a line that passes through the points (2,0) and (6,−12)

Answers

Answer:

slope = -3

Step-by-step explanation:

Slope formula: [tex]\frac{y2-y1}{x2-x1}[/tex]

Given points: (2, 0), (6, -12)

(2, 0) = (x1, y1)

(6, -12) = (x2, y2)

To find the slope, input the two given points into the formula used to find slope:

[tex]\frac{-12-0}{6-2}[/tex]

Simplify:

-12 - 0 = -12

6 - 2 = 4

[tex]\frac{-12}{4} = -\frac{3}{1}=-3[/tex]

The slope of the line is -3.

Hope this helps :)

need help please, ASAP

Answers

Answer:

BC ≅ YX and ∠A ≅ ∠X

Step-by-step explanation:

Answer:

the answer is the last one BC is congruent to yz and a and x

Step-by-step explanation:

PLEASE HELP, DUE SOON!!

Answers

The answer is D because 1 and the angle that equals 128 degrees are equaled to 180 leaving it to be 52
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