f(x) = |x|
g(x) = |x+9| - 5
We can think of g as a translated (shifted) version of f.
Complete the description of the transformation.
Use nonnegative numbers.

Answers

Answer 1
Left 9 down 5, inside the bars you flip the sign to go right or left, outside sign doesn’t change
Answer 2

The transformed function g(x) = |x + 9| - 5 has a vertex at (- 9, - 5).

What is an absolute value function?

We know the absolute value function of the modulus function always outputs a positive value irrespective of the sign of the input.

In piecewise terms  | x | = x for x ≥ 0 and | x | = - x for x < 0.

Given, The parent function is f(x) = |x|.

Now, The transformed function g(x) = |x + 9| - 5 is shifted x + 9 = 0 ⇒ x = - 9 units along the x-axis and - 5 units along the y-axis.

The vertex of the modulus function is at (- 9, - 5).

learn more about modulus functions here :

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Related Questions

Someone help please ASAP!!!!

Answers

The answer to this question is Option C.

As stated in the problem, both programs being Math Master (75% to 87%) and Excel (73% to 81%) increased, therefore, meaning they are both effective as the average test scores increased. However, Math Master had a higher average test score increase compared to Excel, meaning it is even more effective.

Hope this helps :)

Need help for extra credit please???

Answers

Answer:

what si the extra credit

If Rectangle A has a length of 4 and a width of 2 and Rectangle B has a length of 16 and a width of 8 what would the scale factor be from A to B

Answers

Answer:

4

Step-by-step explanation:

To know the scale factor here, just know that 16/4 = 4, and 8/2 = 4 too, so the scale factor is 4.

Just that the respective sides need to have the same ratio.

Note, if it was from B to A, it'd be 1/4.

Answer:

I took the test the answer isnt 4 its 7 hes wrong

Step-by-step explanation:

glad to help :)

The class sizes of the Introductory Psychology courses at a college are shown below.
121, 134, 106, 93, 149, 130, 119, 128
The college adds a new Honors Introductory Psychology course with 45 students. What effect does the new class size have on the center and
spread of the class sizes of the Introductory Psychology courses at the college?
OA. The value of the center decreases and the distribution has a smaller spread.
O B. The value of the center increases and the distribution has a larger spread.
OC. The value of the center increases and the distribution has a smaller spread.
OD. The value of the center decreases and the distribution has a larger spread.

Answers

Answer:

pic of question

Step-by-step explanation:

option D) The value of the center decreases and the distribution has a larger spread.

What is the mean of a distribution?

Mean is the measure of the central tendency or the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.  

Given here the distribution as 121, 134, 106, 93, 149, 130, 119, 128

therefore their mean is = (121+134+106+ 93+ 149+ 130+ 119+ 128)/8

                                       = 122.5

Again after the new course was added the new mean is          

  =  (121+134+106+ 93+ 149+ 130+ 119+ 128+45)/9

 = 113.88

Hence clearly the mean has decreased and the distribution has a larger spread.

Learn more about the mean here:

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I need help please! ​

Answers

Answer:

Yes

Step-by-step explanation:

1/4+1/4+1/4=3/4 can also be written as

3*1/4

If the maximum value of y =-x²+ax+b is 8 when x = 3, find the values of a and b​

Answers

y' = -2x+a
0 = -2(3)+a
6=a

8=-(3)^2 +(3)(6)+b
b=-1

Find the length of side a .

how do I find the length of side a?​

Answers

Step-by-step explanation:

might be correct

according to Pythagoras

Answer:

A. 12

Step-by-step explanation:

AP3X

Which is more, 1 pint or 16 fluid ounces?

Answers

Answer:

they are the same

Step-by-step explanation:

Answer:

there the same I think. sorry if its wrong

a primary school has a running track.
it has two straights of 50 metres.
also there are two bends that are semicircles with diamter 30 metres
work out the distance around the running track​

Answers

Answer:

Distance around the track = 194.3 metres.

Step-by-step explanation:

Given: The two straight sides are of the track are 50 metres each

          Diameter of each bend = 30 metres

Thus;

radius of the bends = [tex]\frac{diameter}{2}[/tex]

                                  = [tex]\frac{30}{2}[/tex]

                                  = 15 metres

So that,

length of the semicircular bend = [tex]\frac{1}{2}[/tex] x 2[tex]\pi[/tex]r

                                   = [tex]\pi[/tex]r = [tex]\frac{22}{7}[/tex] x 15

                                   = 47.143

length of each semicircular bend is 47.14 metres.

Distance around the track = addition of the length of each straight sides + addition of the length of the bends

                                 = 50 + 50 + 47.14 + 47.14

                                 = 194.28

Therefore,

Distance around the track = 194.3 metres.

PLZ HELP ASAP!!!!! Show all work

Answers

Answer:

a) 198.7% interest

Not too sure about answer to (b)

b) 4.75% annualized  

Step-by-step explanation:

a) i used Interest = Principal x Rate x Time

   40 = 525 x [tex]\frac{14}{365}[/tex] x r

    40 = 20.13r

    r = 1.987 or 198.7%

b) i used this proportion:   [tex]\frac{1.98}{1/24}[/tex] = [tex]\frac{x}{1}[/tex]      'x' represents annualized rate

                                                             1/24 represents 2 weeks out of a year

1/24x = 1.98

x = 4.75%

if the simple interest on $3,000 for 2 years is 300 then what is the interest rate​

Answers

Answer:

The class sociologist Max Weber formulated a three-component theory of stratification that saw political power as an interplay between “class”, “status” and “group power. ” Weber theorized that class position was determined by a person’s skills and education, rather than by their relationship to the means of production

Answer:

Does that make sense??

Step-by-step explanation:

Have A Wonderful Day !!

Jacob invests $6,047 in a retirement account with a fixed annual interest rate of 8% compounded continuously. What will the account balance be after 15 years?
A) $20,076.75
B) $17,280.22
C) $18,533.17
D) $21,640.41​

Answers

P=6,047
R= 8%
T= 15
And key word is compound or simple
Yours is compound so A=p(1+r)^t you plug in number and it only give you total after you get that answer you subtract it with 6,047 and that should be your answer

Gary went to the hardware store. He bought five boards for $8 each and a box of nails for $6. What was the change in the amount of money Gary had?

Answers

Answer:

$46 less

Step-by-step explanation:

Let Gary had  x amount of money.

He spent:

$8*5 + $6 = $46

He now has:

x - $46

He has $46 less than had before

Help Please! I dont understand these questions!
Directions: Write the equation of the line in point-slope form, then convert that equation to slope-intercept form. Show your work!

1. Write the equation of the line that is parallel to y = 2x + 4 and passes through the point (-4, -1).

2. Write the equation of the line that is parallel to y = ⅓x - 3 and passes through the point (3, -1).

3. Write the equation of the line that is perpendicular to y = ¾x - 1 and passes through the point (3, -3).

4. Write the equation of the line that is perpendicular to y = -x - 5 and passes through the point (7, 3).

Answers

The point-slope form of the equation of line it's y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point the line passing through.

The slope-intercept form of the equation of line it's y = mx + b, where m is the slope and b is the y-intercept of the line.

1. Write the equation of the line that is parallel to y = 2x + 4 and passes through the point (-4, -1).

y=m₁x+b₁   ║   y=m₂x+b₂   ⇔    m₁ = m₂

{Two lines are parallel if  their slopes are equal}

y = 2x + 4  ⇒   m₁ = 2    ⇒    m₂ = 2

(-4, -1)  ⇒  x₁ = -4,  y₁ = -1

point-slope form:

y - (-1) = 2(x - (-4))

y + 1 = 2(x + 4)

y + 1 = 2x + 8               {subtact 1 from both sides}

y = 2x + 7         ←    slope-intercept form

2. Write the equation of the line that is parallel to y = ⅓x - 3 and passes through the point (3, -1).

y = ⅓x - 3  ⇒   m₁ =  ⅓    ⇒    m₂ =  ⅓

(3, -1)  ⇒  x₁ = 3,  y₁ = -1

point-slope form:

y - (-1) = ⅓(x - 3)

y + 1 = ⅓x - 1           {subtact 1 from both sides}

y = ⅓x - 2         ←    slope-intercept form

3. Write the equation of the line that is perpendicular to y = ¾x - 1 and passes through the point (3, -3).

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇔    m₁×m₂ = -1

{Two lines are perpendicular if the product of theirs slopes is equal -1}

y = ¾x - 1   ⇒   m₁ = ¾  

¾×m₂ = -1        ⇒    m₂ = -⁴/₃

(3, -3)  ⇒  x₁ = 3,  y₁ = -3

point-slope form:

y - (-3) =  -⁴/₃(x - 3)

y + 3 = -⁴/₃x + 4           {subtact 3 from both sides}

y = -⁴/₃x + 1         ←    slope-intercept form

4. Write the equation of the line that is perpendicular to y = -x - 5 and passes through the point (7, 3).

y = - x - 5   ⇒   m₁ = -1  

-1×m₂ = -1        ⇒    m₂ = 1

(7, 3)  ⇒  x₁ = 7,  y₁ = 3

point-slope form:

y - 3 =  -1(x - 7)

y - 3 = - x + 7           {add 3 to both sides}

y = - x + 10         ←    slope-intercept form

how do i do a coordinate plane

Answers

Answer:

To find out the coordinates of a point in the coordinate system you do the opposite. Begin at the point and follow a vertical line either up or down to the x-axis. There is your x-coordinate. And then do the same but following a horizontal line to find the y-coordinate.

Step-by-step explanation:

X=3y
Y=x+4

I have the answers. I just need help showing my work plz :)

Answers

Step-by-step explanation:

Given, x=3y and y=x+4

y=3y+4.... substituting x=3y

y-3y=4

-2y=4

y=-2

Then substitute -2 either in x=3y or y=x+4 equations

x=3(-2)

=-6

The bike store marks up the wholesale cost of all of the bikes they sell by 30%. The store buys a bike for $125. How much will they sell the bike for at the store? (Assume that there is no sales tax.)

Answers

Answer:

$162.50

Step-by-step explanation:

this is because 30°/• of 125 us 37.5 then if you add that you get 162.50

Answer:

aaaaaaaa

Step-by-step explanation:

I cant figure it out, and if I get this wrong I fail the test

Answers

Step-by-step explanation:

x = 1.21212121.....

100x = 121.21212121...

Therefore 99x = 120 and x = 120/99 = 40/33.

Answer:

[tex] \frac{40}{33} [/tex]

Step-by-step explanation:

hope it helpsss:-)

PLEASE HURRY !! Which point is located at (2, -3)?

Answers

The answer is letter K.

Answer:

the answer is K for (2,-3)

Subtract (8x + 6) − (x + 4).
I WILL BE MARKING BRAINLIST!

Answers

Answer:

7x+10

Step-by-step explanation:

match like terms

8x-x+6+4

7x+10

Answer:

[tex]7x+2[/tex]

Step-by-step explanation:

Alright. First, we have to remember that anything, even a minus sign, directly outside of a term in parentheses means that the term is being multiplied by that number or sign outside of it. A minus sign simply means -1.

I'm going to show you one method. There might be another one, but this method will be useful later in algebra.

So, we've established that a minus sign is actually -1. Now, let's rewrite the equation.

[tex](8x+6)-1(x+4)[/tex]

We'll simplify this now by removing the parentheses and distributing that -1.

[tex]8x+6-x-4[/tex]

Rearrange.

[tex]8x-x+6-4[/tex]

Combine like terms.

[tex]7x+2[/tex]

So,  [tex](8x+6)-(x+4)[/tex] equals [tex]7x+2[/tex].

Which of the following logarithms do not exist?
a) logarithms with fractional bases
b) logarithms of negative numbers
c) logarithms that equal zero
d) logarithms of irrational numbers

Answers

Answer:

B. logarithms of negative number don't exist

Answer:

B. logarithms of negative number

Step-by-step explanation:

What is the period of the graph of y = 5 sin (4 pi x) + 3?

A. 5
B. 1/2
C. 4pi
D. 3

Answers

Here’s the answer and how you get it :)

The image below is an example of what construction?

Answers

Answer:

a regular hexagon

Step-by-step explanation:

6 corners

please help me with this math question T-T

Answers

1400000000000000000000000

A picture that is 6 3/4 feet wide has to be centered on a wall that is 15 1/2 feet wide, how much space is there from the edge of the wall to the picture.

Answers

Answer: 4 3/8 feet

Explanation: First off, you want to do 15 1/2 - 6 3/4 which gives you 8 3/4. Next, to get your answer, you want to divide 8 3/4 by 2 since 8 3/4 is the TOTAL distance on both sides, not the distance from the wall to the picture on one side. After you divide, you will get a final answer of 4 3/8. Hope this helped!

Trapezoid ABCD is shown on the graph. If the trapezoid is rotated 90 degrees
counterclockwise about the origin and the resulting image is translated 6
units left, what are the coordinates of C"?

Answers

Answer:

The coordinates of C" are (-7, 4)

Step-by-step explanation:

If the point (x, y) rotated about the origin by angle 90° counterclockwise, then its image is (-y, x)If the point (x, y) translated horizontally to the left by h units, then its image is (x - h, y)

From the given figure

∵ ABCD is a trapezoid

∵ The coordinates of the ponit C are (4, 1)

∴ x = 4 and y = 1

∵ The trapezoid is rotated 90 degrees counterclockwise about the origin

→ By using the 1st rule above, change the sigh of y and switch them

∴ C' = (-y, x)

C' = (-1, 4)

∵ The resulting image is translated 6 units left

→ By using the 2nd rule above subtract the x-coordinate by 6

∴ C" = (x - h, y)

∵ h = 6

x = -1 and y = 4

∴ C" = (-1 - 6, 4)

C" = (-7, 4)

The coordinates of C" are (-7, 4)

8s-3x+4k= what is the answer

Answers

Answer:

K= -2s + 0.75x is answer

Step-by-step explanation:

I hope it's helpful!

Answer:

v

Step-by-step explanation:

help help help help help help help help!!!!

Answers

Answer:

c is the answer have a nice day

Step-by-step explanation:

2. A line has an x-intercept of 2 and a y-intercept of 5. What is the slope
of the line?

Answers

Answer:

-5/2

Step-by-step explanation:

Use slope formula:

Given 2 points (x1, y1) and (x2, y2) Slope is

y2-y1/x2-x1

The x intercept is 2, the point would be (2,0)

The y intercept is 5, the point would be (0,5)

So you can do (5-0)/(0-2) which is 5/-2 which then would be -5/2

Answer:
-5/2

Explanation:
We are given two points from the problem: (2,0) and (0,5). Using these two points, we can calculate the slope using the formula y2-y1/x2-x1 by plugging in points (x1,y1) and (x2,y2).

y2-y1/x2-x1
0-5/2-0
-5/2

Therefore, the slope of the line is -5/2.

I hope this helps!

will mark brainliy
Solve the Equation for f: -2/3f-4=10 *

Answers

Answer:

F=-21

Step-by-step explanation:

M a t h w a y

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