The graphs below have the same shape. What is the equation of the blue graph?​

The Graphs Below Have The Same Shape. What Is The Equation Of The Blue Graph?

Answers

Answer 1
Answer: Choice C.  g(x) = (x-4)^2

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

Explanation:

If we were to keep the red curve completely fixed, but we moved the xy axis four units to the left, then this would give the illusion the red curve is moving four units to the right to arrive at the blue curve's location.

Shifting the xy axis four units to the left is the same as subtracting 4 from each initial input x value. So we go from x to x-4.

The parent function f(x) = x^2 then becomes g(x) = (x-4)^2 which is choice C.

As one way to check, plug in x = 4 and you should find that g(4) = 0. This is the x intercept of the blue curve. Something like g(x) = (x+4)^2 does not work because plugging x = 4 into this leads to g(x) = 64, so that rules out choice A. You can eliminate choices B and D for similar reasoning as well.

Answer 2

Answer:

C.) G(x) = ( x-4 )^2

Step-by-step explanation:

Took the test


Related Questions

(X^2 - 8x + 12) / x- 6

Answers

Answer:

X2x−14+12x

Step-by-step explanation:

I WILL GIVE BRAINLIEST PLEASE HELP FULLY (pt 2)

2. Mauricio plans on retiring in 20 years, and he wants to double his money by that time. He has contacted various banks, looking for a CD that compounds interest monthly, and to calculate what annual interest rate he needs, he is using the rule of 72. (3 points: Part I – 1 point; Part II – 1 point; Part III – 1 point)
Part I: What is the rule of 72? To represent the annual interest rate, use r.
Part II: What equation can Mauricio set up to solve for the annual interest rate he needs to double his money by the time he retires?

Part III: What annual interest rate does Mauricio need to double his money by the time he retires?

Answers

Answer: What expression can Melanie write to figure out how much her ... Mauricio plans on retiring in 20 years, and he wants to double his money by that time. He has contacted various banks, looking for a CD that compounds interest monthly, and to calculate what annual interest rate he needs, he is using the rule of 72.

Step-by-step explanation: I did what I could man

What is the value of 4/15 divided by 2/3

Answers

Answer:

2/5 or 0.4

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

4/15 *3/2

12/30

6/15

2/5

What is the highest degree of the graph shown above?
a 5
b 60 degrees
c 4
d Not enough information to answer the question

Answers

D. Not enough information to answer

Explain: because the sticky note it’s covering it and there’s no numbers.

what in the world does +1 represent??? thank you!

Answers

Answer:

the y intercept

so up 1 from (0,0)

In the 8-sided figure below, adjacent sides meet at right angles and the lengths are given are in meters. What is the perimeter of the figure, in meters?




40
40

80
80

120
120

160
160

400
400

Answers

Answer:

80

Step-by-step explanation:

Look at the figure below. The perimeter is the same as if the corners were moved out to form a square. Then you have 4 congruent sides of length 20.

P = 4 * 20 = 80

The perimeter of a shape is the summation of the sides of the shape. The perimeter of the shape is 80 units.

From the attached figure, we have the following observations

All sides of the shape are either vertical or horizontal lineNone of the side lengths overlaps

This means that if the shape is drawn (see attachment) to have 4 sides, opposite sides of the shape will be congruent.

The first side length is:

[tex]Length = 20[/tex]

While the adjacent side length is:

[tex]Width = 12 + 8 =20[/tex]

The perimeter (P) of the shape is then calculated as follows:

[tex]P = 2 \times (Length + Width)[/tex]

[tex]P = 2 \times (20 + 20)[/tex]

[tex]P = 2 \times 40[/tex]

[tex]P = 80[/tex]

Hence, the perimeter of the shape is 80 units.

Read more about perimeters at:

https://brainly.com/question/6465134

What is the square root of 49/900

Answers

0.00777777777 I think

The square root of 49/900 is 7/30 according to the given question, it can be done through simplification process.

To find the square root of 49/900, we can simplify the fraction first:

The square root of a number is a mathematical operation that determines a value which, when multiplied by itself, yields the original number. In simpler terms, the square root of a number "x" is the value "y" such that y multiplied by y equals x. The square root is denoted by the radical symbol (√).

49/900 = [tex](7^2)/(30^2)[/tex]

Taking the square root of the numerator and denominator separately, we get:

√ [tex](7^2) /[/tex]√([tex]30^2[/tex])

Simplifying further, we have:

7/30

Therefore, the square root of 49/900 is 7/30.

To know more about  square root here

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What is the gravitational potential energy of a 2.5 kg object that is 300 m above the surface of the earth

Answers

Answer:

7350 J

Step-by-step explanation:

The gravitational potential energy of a body can be found by using the formula

GPE = mgh

where

m is the mass

h is the height

g is the acceleration due to gravity which is 9.8 m/s²

We have

GPE = 2.5 × 9.8 × 300

We have the final answer as

7350 J

Hope this helps you

A 26 foot ladder is set against the side of a house so that it reaches up 24 feet. If Mila
grabs the ladder at its base and pulls it 12 feet farther from the house, how far up the side of the house will the ladder reach now?

Answers

Answer:

13.9

Step-by-step explanation:

13.85 feet far up the side of the house will the ladder reach now.

Given that, a 26 feet ladder is set against the side of a house so that it reaches up 24 feet.

What is heights and distances in trigonometry?

In mathematics, you can calculate the height of an object using the distance and angles. Here distance is the horizontal distance between the object and the angle is the angle above the horizontal of the top of the object, which gives the height of the object.

Let the distance between base of house to foot of the ladder be x.

Using Pythagoras theorem 26²=24²+x²

⇒ 676 = 576 + x²

⇒ x² = 100

⇒ x =10 feet

Mila grabs the ladder at its base and pulls it 12 feet farther from the house.

Now, the distance between base of house to foot of the ladder = x+12

= 10+12 = 22 feet.

So, up the side of the house the ladder reach = 24-h

Then, 26² = (24-h)²+22²

⇒ 676 = (24-h)²+484

⇒ (24-h)² = 192

⇒ (24-h) = √192

⇒ (24-h) = 13.85

⇒ h = 24-13.85

⇒ h = 10.15 feet

Therefore, 13.85 feet far up the side of the house will the ladder reach now.

To learn more about the heights and distance in trigonometry visit:

https://brainly.com/question/27917190.

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Sawyer used $10.25 to buy a new journal. He has $39.75 left in his savings account. How much money did Sawyer have before he bought the journal

Answers

He had $50 before the purchase

Answer:

Sawyer had $50 in his account before his purchase.

Step-by-step explanation:

$10.25 + $39.75 = $50

So he had $50 before he bought the journal

                   Hope this helps! good luck :)

–6x − 8y = –14
y = –2

Answers

Answer:

x = 5

Step-by-step explanation:

If you input the y-value into the equation you get x = 5.

-6x-8(-2) = -14

-6x+16 = -14

-6x+16-16 = -14-16

-6x = -30

(-6x)/-6 = (-30)/-6

x = 5

equation of the line through (5,-6) and a slope of -1​

Answers

Answer:

y=x-11 or in point slope form y+6=1(x-5)

To make a jug of plant fertilizer, Malaika uses 6 cups of water and 3 scoops of fertilizer. Bart uses 8 cups of water and 5 scoops of fertilizer. Will Malaika's and Bart's plant fertilizer have the same strength? Explain.

Answers

Answer:

No they will no have the same strength. So what I did was find a common number between them so between 8 and 6 they both can be multiplied to 24. So 6 goes into 24 4 times so I multiplied 3 times 6 and then 8 goes into 24 3 times so I multiplied 3 and 5 and so the final answer is that bart has more strong fertilizer

Step-by-step explanation:

6*4=24 4*3=12

8*3=24  5*3=15

3
3. Your boss has you on the schedule working 35 hours per week. If you make $9.50 per hour, what is your
gross income every two weeks?
A) $332.50
B) $665
C) $191.58
D) $334.50

Answers

Answer: B

Step-by-step explanation:

35 x 2 = 70 (since there are 2 weeks)

70 x 9.50 = 665

i agree with the person above me

someone help please :(

Answers

Answer:

D

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

Then

g(x + 3)² is the graph of f(x) translated 3 units left

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Then

g(x) = g(x + 3)² - 7 is the graph of f(x)

Translated 3 units left and 7 units down

Please help!!!

If data set A has a larger standard deviation than data set B, data set B is
more spread out thar data set A.
O A. True
O B. False

Answers

Answer:

the answer is B.FALSE

Step-by-step explanation:

hope it helps

Select all the expressions that are equivalent to 3x – 1.
7x + 2x – 6x – 1
2(2x – 1) – x + 1
3(x – 1) + 1
12(6x – 2)
6x – 12(4x + 2)

Answers

Answer:

first

2nd

_______________

At a grocery store,39 out of 60 customers use a shopping cart. What percent of the customers use a shopping cart?​

Answers

Answer:

39 is 65% of 60

65% use a shopping cart.

daniella made a table and a graph for the equation y=3x did daniella make these items correct select true statement

Answers

Answer:

B

Step-by-step explanation:

if you can see in the graph, the graph axes calculation is not the same with the one given.

Given that x = 9.5 m and θ = 20°, work out AC rounded to 3 SF​

Answers

Answer:

AC ≈ 10.1 m

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos20° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{9.5}{AC}[/tex] ( multiply both sides by 9.5 )

AC × cos20° = 9.5 ( divide both sides by cos20° )

AC = [tex]\frac{9.5}{cos20}[/tex] ≈ 10.1 m ( to 3 sf )

A spinner is 1/6 red, 1/12 blue, 1/2 yellow and 1/4 green, what is the probability of spinning red or yellow?

Answers

Answer:

2/24

Step-by-step explanation:

This is because there are chance of getting the other colors.

Suppose that when your friend was born, your friends parents deposited $2000 in an account paying 5.9% interest. What will the account balance be after 15 years?

Answers

Answer:

FV= $4,725.74

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $2,000

Number of periods (n)= 15 years

Interest rate (i)= 5.9% = 0.059

To calculate the Future Value, we need to use the following formula:

FV= PV*(1 + i)^n

FV= 2,000*(1.059^15)

FV= $4,725.74

Anything help plz
Mr. McGill is solving the following problem: 42x=163. Mr. McGill set 2x=3 and got x=32 as his answer. Tell the mistake Mr. McGill made and tell the correct answer.

Answers

Answer:

3.88

Step-by-step explanation:

Given that

42x = 163

It set 2x = 3

and x = 32

We need to tell the mistake and mentioned the correct answer

if we solve the above equation i.e.

42x = 163

x = 3.88

Hence, in this way it should be calculated

The same would be considered and relevant

Hence, the correct answer is 3.88

I have a 3 yellow m&m's, 5 blue m&m's, and 4 red m&m's. What is the probability if I choose a red and do not not put it back and then choose a yellow?

Answers

Answer:

8.3% probability

Step-by-step explanation:

(3) YELLOW  ⇒   [tex]\frac{3}{12}[/tex]   ⇒  25%

(5) BLUE       ⇒   [tex]\frac{5}{12}[/tex]   ⇒  41.6%

(4) RED         ⇒   [tex]\frac{4}{12}[/tex]   ⇒  33.3%

║(12) IN TOTAL

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

[tex]\frac{1}{12}[/tex] = 8.3%

PROBABILITY OF (1) RED, AND (1) YELLOW  ⇒ 8.3% probability

Por la comra de un televisor en 130 000 se ha pagado 1/4 al contado y el resto en 6 cuotas en igual valor cada una.

Answers

Answer:

Por la compra de un televisor en $ 130000 se ha pagado →1/4 del total al contado → el restante en 6 cuotas de igual valor .

el valor de cada cuota =?

Step-by-step explanation:

Para resolver el ejercicio se procede a realizar la operación indicada de calcular el valor de cada una de las 6 cuotas de igual valor, de la siguiente manera :

1/4 * $130000 = $ 32500

$ 130000 - $ 32500 = 97500 $ 97500 /6 = $ 16250

El valor de cada una de las 6 cuotas restantes es de $ 16250 .

Which graph best represents the
solution to the following pair of
equations?
y = -X - 5
y = 2x + 4

Answers

Answer: The first graph

Step-by-step explanation: I used a graphing calculator

What is the solution for x In the inequality -3x+4<16

Answers

Answer:

x > -4

Step-by-step explanation:

-3x + 4 < 16

-3x < 16 - 4

-3x < 12

-x < 4

x > -4

Answer:

x > -4

Step-by-step explanation:

-3x+4<16

Subtract 4 from each side

-3x+4-4<16-4

-3x < 12

Divide each side by -3, remembering to flip the inequality since we are dividing by a negative.

-3x/-3 > 12/-3

x > -4

Graph
plz step by step

Answers

Answer:

Step-by-step explanation:

The equation shown in the question can be seen graphed in the image attached below. As you can see with the graphed equation the variable x can be any real number except for -1. This is because a -1 would cause the denominator of the fraction to be equal to 0, and a fraction with a denominator as 0 is a null value and does not exist.

Kayla is financing $168,125 to purchase a house. She obtained a 25/8 balloon mortgage at 3.85%. What will her balloon payment be

Answers

Answer:

$130,626.56

Step-by-step explanation:

Kayla is financing $168,125 to purchase a house. She obtained a 25/8 balloon mortgage at 3.85%. What will her balloon payment be?

We are told that: She obtained a 25/8 balloon mortgage at 3.85%

This means the loan is amortized for 25 years and she would be monthly payment for 8 years before making the balloon payment.

Step 1

We find Monthly payments

Pmt = (A * i * (1 + i)ⁿ) / ((1 + i)ⁿ - 1)

Where:

Pmt - monthly payment;

A - Loan amount = $168,125

i - periodic interest rate = 3.85% = 0.0385

and

n - number of periods =

1 year = 12 months

8 years = x

x = 8 × 12 months = 96 months

n = 96 months

Pmt = (168,125 × 0.0385 * (1 + 0.0385)⁹⁶) / ((1 + 0.0385)⁹⁶- 1)

Pmt = $873.56

Step 2

When we find the monthly payment, we can compute the balance due after the term of a balloon loan.

B = (A * (1 + i)ⁿᵇ) - Pmt / i * ((1 + i)ⁿᵇ - 1)

Where:

B - Balloon payment

nb - Number of balloon loan periods =

Pmt - Monthly payment = $873.56

B = (168,125 × (1 + 0.0385)⁹⁶) - 873.56 / 0.0385 × ((1 + 0.0385)⁹⁶- 1)

B = $130,626.56

Steffie makes a scale drawing for a crate with a scale factor of 1 to 3 the dimensions of her scale drawing are 15 inches long by 12 inches wide. The builder creates a scale drawing of the crate with a scale factor of 1 to 9

Answers

Answer:

The length is 5 inches and the width is 4 inches

Step-by-step explanation:

Steffie makes a scale drawing for a crate with a scale factor of 1:3. The dimensions of her scale drawing are 15 inches long by 12 inches wide. The builder creates a scale drawing of the crate with a scale factor of 1:9. What are the dimensions of the builder's scale drawing? A. The length is 4 inches and the width is 5 inches B. The length is 45 inches and the width is 36 inches. C. The length is 5 inches and the width is 4 inches. D. The length is 36 inches and the width is 45 inches

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

dimensions of the image steffie scaled = (15 x 3) by (12 x 3) = 45 by 36

Builders scaled image = (45 / 9) by (36 /9) = 5 by 4

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