How does the graph of y = √x − 8 compare to the parent graph?

Answers

Answer 1

The graph of y = √x − 8 is a horizontal shift of the parent graph of y = √x by 8 units to the right.

The parent graph of y = √x is a curve that starts at the origin (0, 0) and goes off to the right. As x increases, y increases, but at a decreasing rate. This means that the slope of the graph is steeper near the origin and flatter as x gets larger. The graph is symmetric about the y-axis, meaning that it looks the same on the left and right sides.

When we add the term −8 to the inside of the square root in the equation y = √x − 8, we are shifting the entire graph horizontally to the right by 8 units. This means that the graph still starts at the origin, but it starts at the point (8, 0) instead of (0, 0). As x increases, y still increases, but at a decreasing rate, and the graph is still symmetric about the y-axis.

The effect of the horizontal shift is to move the entire curve to the right without changing its shape. The steepness of the slope and the symmetry of the graph are preserved. The only difference is the starting point of the graph, which is now 8 units to the right of the origin. This shift changes the x-intercept of the graph from (0, 0) to (8, 0), and the y-intercept from (0, 0) to (0, -8).

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Related Questions

Whats the variable for 4/2 = 3/x

Answers

Answer: 3/2

Step-by-step explanation:

We can cross multiply.

4x = 6.

Divide both sides by 4.

x = 6/4 which simplifies to 3/2

3 CO2 + 6 NADPH + 5 H2O + 9. Please

Answers

Answer:

omg

Step-by-step explanation:

too ez its 20 square rooted kid

if the number of times you take the test were independent of the chance you fail what could that mean?

Answers

if the number of times you take the test were independent variable of the chance you fail what could that mean the difficulty of the test is consistent and unchanging.

The difficulty of the test is consistent and unchanging, making it so that the chance of failing is solely determined by the individual's performance on the test. Factors such as knowledge of the subject and the ability to focus can play a role in a person's success, but the actual chance of failing is not affected by how many times the test is taken. This means that those who fail the test will have to work harder and prepare better in order to pass it on the next attempt. Taking the test multiple times does not guarantee a higher chance of success, as the difficulty remains the same each time due to independent variable.

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w = 4y + 6
Solve for y

Answers

Answer:

The answer is y = - 3/2 + 1/4 W

also if you click the image it will show you how to solve the equation. I hope the image helps.

w = 4y + 6Solve for y
w=4y+6
-4y=6-w
Answer: y= -3/2+1/4w

ASAP, GEOMETRY PLEASE HELP ME

ASAP, GEOMETRY PLEASE HELP ME

Answers

Answer: 405 yd squared

Step-by-step explanation:

V = (bh)/2

b = (15 x 9)/2 = 67.5

67.5 x 12 = 810

810/ 2 = 405

What are 10 examples of irrational numbers?

Answers

Step-by-step explanation:

numbers that can not be written as a fraction

What are 10 examples of irrational numbers?

Look at points C and D on the graph: A coordinate plane graph is shown. Point C is at negative 5 comma negative 1. Point D is at 0 comma 3. A segment connects the two points. What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.
the answer choices are
A.5.50
B.6.40
C.9.00
D.41.00

Answers

Answer:

6.40 cus I got it right ona test

Step-by-step explanation:

Answer:

B: 6.40

Step-by-step explanation:

One of the output functions of a three inputs 3x8 decoder combinational output function in sum-of- minterms form: F = (0,1,2,3,7). What is the c function of this output? a) (x + y) (y+z) b) (x+y)(x+z) c) (y + 2) (x + 2)

Answers

The correct option is a) (x + y) (y + z). Given the output function F in sum-of-minterms form as F = (0, 1, 2, 3, 7), we need to determine the corresponding Boolean expression for the output function.

A 3x8 decoder has three input variables (x, y, z) and eight output variables, where each output variable corresponds to a unique combination of input variables. The output variables are typically represented as minterms.

Let's analyze the given output function F = (0, 1, 2, 3, 7). The minterms represent the outputs that are equal to 1. By observing the minterms, we can deduce the corresponding Boolean expression.

From the minterms, we can see that the output is equal to 1 when x = 0, y = 0, z = 0 or x = 0, y = 0, z = 1 or x = 0, y = 1, z = 0 or x = 0, y = 1, z = 1 or x = 1, y = 1, z = 1.

By simplifying the above conditions, we get (x + y) (y + z), which is the Boolean expression corresponding to the given output function F.

In summary, the correct option is a) (x + y) (y + z).

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What do these (>, ≥, <, ≤) mean

Answers

Answer:

Less Than,Less Than or Equal to,Greater Than,Greater Than or Equal to

Step-by-step explanation:

The line under plays the role of an equal sign and the others are pretty self explanatory

Answer: The first one is a greater sign, the second one is greater than or equal to, the third one is less than, and the last one is less than or equal to.

Step-by-step explanation: hope this helps

what is the greatest common factor of 15 and 42

Answers

Answer:

3

Step-by-step explanation:

The factors of 15 are: 1, 3, 5, 15

The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42

Then the greatest common factor is 3.

Answer:

3

Step-by-step explanation:

Solve the system of equations.
4x - 9y - 2 = 0
12x - 5y + 38 = 0
x =
y =

Answers

1. (x,y)=(4/9)
2.(x,y)=(-4,-2)

find the multiples of 8 and 10

Answers

8x10=80
8-are 8, 16, 24, 32, 40, 48, 56, 64, 72, 80
10-10, 20, 30, 40, 50, 60, 70, 80, 90, 100

Please help! I'm not quite understanding this.

Please help! I'm not quite understanding this.

Answers

Answer:

d.) 21

Explanation:

Rules:

-|a| = -a|-a| = ax = |a| then x = ±a

Solve:

\(\rightarrow \sf \dfrac{4|a|}{2} + |a-3|\)

[insert a = -6]

\(\sf\rightarrow \dfrac{4|-6|}{2} + |-6-3|\)

[simplify the following]

\(\sf\rightarrow \dfrac{4(6)}{2} + 9\)

\(\sf\rightarrow 12 + 9\)

\(\sf\rightarrow 21\)

HELP URGGENNT :3 TYYY !

HELP URGGENNT :3 TYYY !

Answers

Answer:

Answers on attached image

Step-by-step explanation:

HELP URGGENNT :3 TYYY !

A standing wave can be mathematically expressed as y(x,t) = Asin(kx)sin(wt)
A = max transverse displacement (amplitude), k = wave number, w = angular frequency, t = time.
At time t=0, what is the displacement of the string y(x,0)?
Express your answer in terms of A, k, and other introduced quantities.

Answers

The mathematical expression y(x,t) = Asin(kx)sin(wt) provides a way to describe the behavior of a standing wave in terms of its amplitude, frequency, and location along the string.

At time t=0,

the standing wave can be mathematically expressed as

y(x,0) = Asin(kx)sin(w*0) = Asin(kx)sin(0) = 0.

This means that the displacement of the string is zero at time t=0.

However, it is important to note that this does not mean that the string is not moving at all. Rather, it means that the string is in a state of equilibrium at time t=0, with the maximum transverse displacement being A.

As time progresses, the standing wave will oscillate between the maximum positive and negative transverse displacement values, creating a pattern of nodes (points of zero displacements) and antinodes (points of maximum displacement).

The wave number k and angular frequency w are both constants that are dependent on the physical properties of the string and the conditions under which the wave is being produced.

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Please help!!! Angles!

Please help!!! Angles!

Answers

Answer:

m∠JKM = 63°

m∠MKL = 27°

Step-by-step explanation:

Since ∠JKL is a right angle. This means that by summing up both m∠JKM and m∠MKL will result in the same as ∠JKL figure. Thus, m∠JKM + m∠MKL = m∠JKL which is 90° by a right angle definition.

\(\displaystyle{\left(12x+3\right)+\left(6x-3\right) = 90}\)

Solve the equation for x:

\(\displaystyle{12x+3+6x-3 = 90}\\\\\displaystyle{18x=90}\\\\\displaystyle{x=5}\)

We know that x = 5. Next, we are going to substitute x = 5 in m∠JKM and m∠MKL. Thus,

m∠JKM = 12(5) + 3 = 60 - 3 = 63°

m∠MKL = 6(5) - 3 = 30 - 3 = 27°

5
Which of those points does not lie on the line y = 3x + 5*
(1 Point)
O (1,8)
O (4, 17)
O (-2, 11)
0 (0,5)

5Which of those points does not lie on the line y = 3x + 5*(1 Point)O (1,8)O (4, 17)O (-2, 11)0 (0,5)

Answers

Answer:

 point (-2,11)  does not lie on the given line

Step-by-step explanation:

To find : Which of the following points does not lie on the line ?

Solution :

To determine the point lie on line or not we have to put points in equation if it satisfy then it lie otherwise not.

a) Point (1,8)

Line  y=3x+5

Substitute x=1 and y=8

8=3(1)+5

8=8

(1,8) point lie on the line.

b) Point (4,12)

Line y=3x+5

Substitute x=4 and y=17,

17=3(4)+5

17=12+5

17=17

(4,17) point does not lie on the line.

c) point (-2,11)

Line y=3x+5

substitute x=-2 and y=11

11=3(-2)+5

11=-6+5

11 is not equal to -1

d) Point(0.5)

Line y=3x+5

Substitute x=0 and y=5

5=3(0)+5

5=5

What are the average high and low temperatures (in degrees Celsius) for Nuuk in January? one again guys hello:) help me i help u get to me if u have right answer:) pls and ty

Answers

Answer:

See below

Step-by-step explanation:

Dr. Davis measured the average temperature for Nuuk in January and found the high was -4 and the low was -9.

Find the value of x.

Find the value of x.

Answers

Honestly no idea... sorry

If EF = 2x - 10, FG = 4x - 18, and EG = 26, find the values of x, EF, and FG. The drawing is not to scale.
x=4, EF=8, FG = 18
x = 9, EF = 28. FG = 54
c. r=9, EF = 8, FG = 18
d. x = 4, EF=-2. FG = -2

If EF = 2x - 10, FG = 4x - 18, and EG = 26, find the values of x, EF, and FG. The drawing is not to scale.x=4,

Answers

Answer:

x = 9

EF = 8

FG = 18

Step-by-step explanation:

2x - 10 + 4x - 18 = 26

6x -28 = 26

6x = 54

x = 54/6

x = 9

EF = (2*9)-10 = 8

FG = (4*9) - 18 = 18

The admission fee to an amusement park is $18. It costs an additional c dollars to rent a locker to hold your belongings. The total cost for 2 people to enter the amusement park and each rent a locker is $46. How much does it cost for one person to rent a locker?

Answers

Answer:

$5 for one person to rent a locker

Step-by-step explanation:

Assuming the $18 is for one person, then two people it would be $36, since $18 + $18 = $36 and it's stated there's two people. If you subtract $36 from $46 you get $10, and since it's for two people you split it in half (so basically divide by 2) you get $5 for a locker.

Hope this helps!

PLEASE HELP THIS IS PASS OR FAIL

PLEASE HELP THIS IS PASS OR FAIL

Answers

Answer:

2

Step-by-step explanation:

a street vendor sells two types of newspapers one for 25 cents and the other for 40 cents. fi she sold 100 newspaper for 28.00 how many newspapers did she sell at 25 cents

Answers

She did sell the newspapers for $.25 each at age 80. The equation is referred to as a linear equation in one variable if only one variable is present in the linear equation.

A linear equation is what?

It is described as the relationship between two variables, and a straight line results from plotting the graph of the linear equation.

The information provided in the issue is;

One newspaper will set you back $.25.

Other newspapers are $.40 each.

The 100 newspapers were purchased for $28.00.

x is the quantity of newspapers sold for $.25 each.

Y stands for the other newspaper's number.

The total of both newspapers is one hundred.

x+y=100

y=100-x

25x+ 40y=28.00

25x+40(100-x)=2800

25x+4000-40x=2800

-15x+4000=2800

-15x=-1200

x=80

She therefore sold 80 newspapers for $.25 each.

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What is 145.65 divided by 21.2?

Answers

Answer: 6.87

Step-by-step explanation:

21.2 / 145.65

Move to the decimal to the right 1 time to make 21.2 to 212 and 145.65 to 1456.5.

Then you want to look for a number you can multipl 212 into the 1456.

In this case, 212 times 6 because it equals 1272.

If you multiply 212 times 7, you get 1484 (which is over the number of 1456 { we dont want that}).

Then you continue multiplying the number until you get to 0, or in other words, a remainder. In which I got, 6.870

The exterior angle of a regular polygon is 60°.
What is the name of the regular polygon?​

Answers

Step-by-step explanation:

exterior angle = 60°

exterior angle = 360/n

60° = 360°/n

60n = 360°

n = 6

A regular polygon with 6 sides is a HEXAGON.

Multiply the factors by FOIL technique and write the answer in Standard Form (y=ax^2+bx+c): y=(2x+3)(x-3) *

Answers

Answer:

2x^2 - 3x - 9

Step-by-step explanation:

y=(2x+3)(x-3)

Multiply using FOIL

2x × x

2x × -3

3 × x

3 × -3

2x^2 - 6x + 3x - 9

Combine like terms

2x^2 - 3x - 9

A line passes through (2, -1) and (4, 5).
-
Which answer is the equation of the line?
-3x+y=17
-3. + 5y = -13
-3x+y=-7
-3x+5y=13

Answers

Answer:

its c

Step-by-step explanation:

I need all please help

I need all please help

Answers

Answer:

5) D

6) C

7) B

8) D

9) 109°

10) 83°

Step-by-step explanation:

5) In y=mx+b the slope is m. In perpendicular it'll be opposite, so the answer is D.

6) With the above knowledge about slope, the slope will be the same so it'll be C.

7) They are in the same position by different lines and will be corresponding aka B

8) These are adjacent angles because they are next to each other aka D

9) 180 - 71 = 109

10) They are correspodning so 83°

(slightly rushing so I hope this helped, have a nice day!)

Asymptote (horizontal) of f(x)=2(3)^-x

Answers

The Value of the horizontal asymptote is 0

What is horizontal asymptote?

The horizontal asymptote of a function y = f(x) is a line y = k and to calculate the horizontal asymptote please substitute \(x=\)±∞. We can also find the vertical asymptote.

now we are given a function

\(f(x)=2(3)^{-x}\)

Now substitute x=±∞ in the equation, as the x in denominator we get

f(x)= 0

This is the value of the horizontal asymptote

Hence the value of horizontal asymptote comes out to be 0

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1. Latoya earns $1.75 an hour for each child she baby-sits. How much does she earn if she baby- sits 3 children for 4 hours?

2. James works at a department store and receives a 25% discount on his purchases. He purchases some new clothes at the store and his total before the discount is $145.20. What is James's total after the discount?

3. Kegan borrows $78 from his sister. He will pay her back over a 4-week period. If he pays the same amount each week, how much will he have paid back after the third week?

4. Ashley stops by the grocery to pick up a few items. She buys a loaf of bread for $1.09, a pound of turkey for $4.59, 2 cans of soup for $0.79 each, and 4 oranges for $0.27 each. How much money does Ashley spend at the grocery?

5. Jackie buys a one-way ticket to Nevada and a one-way ticket back home. Each way costs $118. Joe buys a round-trip ticket to Nevada for $227. Whose ticket is less? By how much?​

Answers

Cost price is also known as CP. cost price is the original price of an item. The cost is the total outlay required to produce a product or carry out a service. Cost price is used in establishing profitability in the following ways: Selling price (excluding tax) less cost results in the profit in money terms.

A "selling price" is the price that the seller gives. something that he/she wants or is offering to sell. The item has not been sold. yet. A "sale price" could be the price that was actually paid by a buyer

1.

she earns if she babysits 3 children for 4 hours= $63.

solution :

Given :

Latoya earns $1.75 an hour for each child she babysits

Total Number of babysitting hours for 3 child= 3x12=36 hours

let,

Total amount earned by Latoya: S

S= 36x1.75

S= $63

she earns if she babysits 3 children for 4 hours= $63.

2.

James's total after the discount = $108.75

Given :

his total before the discount is $145.20

receives a 25% discount on his purchases

Solution :

Buy price = MRP X DISCOUNT /100

Let the Buying price is c

c = 145x25/100

c = 145/4

c= $ 36.25

= MRP - DISCOUNT

Let James's total after the discount =  p

p= 145-36.25

p= $108.75

3.

paid back after the third week= 19.5

Given :

Kegan borrows $78 from his sister.

Time = 4 week

each week Payment = 78/4=19.5

paid back after the third week= 19.5

4.

Ashley spends at the grocery= $8.34

Solution :

a loaf of bread = $1.09,

a pound of turkey = $4.59,

2 cans of soup =2x$0.79 each=$ 1.58

4 oranges = $0.27 x4= $1.08

Ashley spend at the grocery= 1.09 + $4.59, +$ 1.58+ $1.08 =$ 8.34

Ashley spends at the grocery= $8.34

5.

joe ticket is less Jackie's by 236-227=  $9

Solution :

Jackie buys a one-way ticket to Nevada=$118

a one-way ticket back home=$118

Total = $118x2 =$236

But

Joe buys a round-trip ticket to Nevada for $227

joe ticket is less Jackie's by 236-227=  $9

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