How does the graph of f(x) = (x − 1)2 relate to the basic function f(x) = x2?

Answers

Answer 1

Answer:

Shift 1 unit to the right

Step-by-step explanation:

Note: Both functions can not be represented by f(x) and square is missing in basic function.

The given basic function is

The given function is  

So, the given function can be written in the form of basic form as

    ...(1)

The translation is defined as

    .... (2)

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

Therefore, graph of f(x) shift 1 unit to the right to get graph of g(x).

Answer 2

Answer: b.)  shift 1 unit to the right

Step-by-step explanation: on edg 2020


Related Questions

2 1/2 * 7 7/3 *- 5 3/7

Answers

Answer:

-126.66

Step-by-step explanation:

£££££££££££££₩₩₩¥₩₩

3k^2+12k-7kn-28n square meters and a length of 3k-7n meters.

What expression represents the width of the rectangle?

Answers

Step-by-step explanation:

here ! I used the formula area = length × width

and just some algrbric expressions solving

please help!!! asap!!!
show all the steps that you use to solve this problem in the space provided
Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale.

Answers

Answer:

x = 11 cos 22 = 11 * .927 = 10.2

x^2-y^2=16
y^2=-x+4

I need help to solve the system of equations

Answers

You first need to rearrange your equation to make it equal one variable. So I isolated x which gives me x=-1(y^2-4). You then put the X equation into the first equation. Which gives (-y^2+4)^2-y^2=16. The answer when you solve for y is 0. You then substitute y in the second equation. Which gives 0=-x+4 then solve for x. The answer being x=4 and y=0
Please brainlist

Answer the questions below based on the two quadratic functions.

Answers

Answer:

The vertex of Function 2 is at (2,7)

The function that has the smaller minimum value is Function 1

The smaller minimum value is 3

Step-by-step explanation:

hope this helps :)

True or False: You can use the Pythagorean Theorem to determine if a triangle is a right triangle or not.

Answers

Answer:

True

Step-by-step explanation:

Definitely true.  If the shorter legs of the given triangle are a and b and the longest side is c, then if a^2 + b^2 = c^2, the triangle is a right triangle.  Otherwise it is not a right triangle.

im stuck please help

Answers

Answer:

it's 720

Step-by-step explanation:

6x10=60x12=720

The endpoints of CD are (-2,-4) and D(6,2). What are the coordinates of the midpoints of CD

Answers

Answer:

(2,-1)

Step-by-step explanation:

[tex]midpoint = ( \frac{ - 2 + 6}{2} , \frac{ - 4 + 2}{2} ) \\ [/tex]

[tex]midpoint = ( \frac{4}{2} , \frac{ - 2}{2} ) \\ [/tex]

[tex]midpoint = (2, - 1)[/tex]


Which table contains input-output values of the function y = 2x - 7?

Answers

Answer:

The input-ouput is B.

Step-by-step explanation:

By plugging in 3, -4, and 5 into the x-values of the equation [tex]f(x)=2x-7[/tex] you provided you get

[tex]f(3) = 1 , f(-4) = -15 , f(5) = 3[/tex]

Complete the following statement.

The money used in Jordan is called the dinar. The exchange rate is US $3 to 2 Jordanian dinars. To receive 22 dinars, you need to exchange
U.S. dollars.

Answers

I think 33 since you would multiple 11 in both sides which would give you $33 and 22 dinars

Answer:

$33

Step-by-step explanation:

$3 = 2 Dinars

$x = 22 Dinars

3/2 = x/22

multiply 3 by 22 and divide by 2

multiply 2 by x and divide 2

which will give answer to $33.

Don't know if it makes sense

Please answer number 11 thank you

Answers

I think it’s comic a because if you divide the initial price by the current price you’d get a percentage of .83% and if you divide comic b’s prices you’d get .81% which comes to a conclusion of comic a having a greater increase in value

A square prism has a height of 12 inches and a base with an area of 30 square inches. A cylinder is inscribed inside the prism. Which statement about the volume of the cylinder, V, is true?

Answers

The volume of the cylinder (282.74 in.³) is less than the volume of the square prism (360 in.³). Then the correct option is C.

What is a rectangular prism?

A rectangular prism is a closed solid that has two parallel rectangular bases connected by a rectangle surface.

What is a cylinder?

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

A square prism has a height of 12 inches and a base with an area of 30 square inches.

A cylinder is inscribed inside the prism.

The volume of the square prism will be

[tex]V_{square} =Base[/tex] [tex]area*Height[/tex]

[tex]V_{square}=30*12[/tex]

[tex]V_{square} =360[/tex] [tex]in^3[/tex]

The volume of the cylinder will be

[tex]V_{cylinder}=\pi r^2h[/tex]

The radius of the base circle of the cylinder will be

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

[tex]r=2.7386[/tex]

Then volume will be

[tex]V_{cylinder}=\pi *(2.7368)^2*12[/tex]

[tex]V_{cylinder}=282.74[/tex] [tex]in^3[/tex]

The volume of the cylinder (282.74 in.³) is less than the volume of the square prism (360 in.³). Then the correct option is C.

More about the rectangular prism link is given below.

https://brainly.com/question/21308574

Pls hurry and help me pls.

Answers

Confused on the question.

30. Tina went to batting cages with $20. She rented a bat for $3. 25 and

paid $3 for each round. What was the greatest number of rounds Tina

could have played?

Answers

Answer:

5

Step-by-step explanation:

Tina started with $20, but had to spend $3.25 on the bat.

$20-$3.25 = $16.75, which is all she has left for rounds.

Each round costs $3.00

$16.75 divided by $3.00 comes out to 5.58 rounds, but since she can't play 1/2 a round, that means she could only play 5 rounds

5 rounds X $3.00 per round comes to $15.00

Find The Mode Of The Data 2, 4, 5, 6, 7, 2, 3, 4.​

Answers

Answer:

2 and 4 is repeated mode of the data

Answer:

2 and 4

Step-by-step explanation:

The mode is the value of highest frequency in the data set2 and 4 each repeat twice whereas all other numbers only appear once2 and 4 are the mode

What’s the answer????

Answers

Answer:

5

Step-by-step explanation:

A 17-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 10 feet from the base of the building. How high up the wall does the ladder reach?

Answers

Answer:

13.747... meters

Step-by-step explanation:

Refer to image attached~

Let AC represent the length of the ladder.Let BC represent the distance from the base of the ladder from the base of the building.Let AB (x) represent the height of the building.

In this case, the longest side of the triangle formed is AC. Thus, our hypotenuse is AC (17 m).

To determine the height of the building, we need to use pythogoras theorem.

Pythogoras theorem: (Hypotenuse)² = (Side)² + (Side)²

⇒ (17)² = (10)² + (x)²⇒ 289 = 100 + (x)²⇒ 289 - 100 = (x)²⇒ 189 = (x)²

Take square root both sides:

⇒ √189 = √(x)²⇒ x = √189 ≈ 13.747... meters

Answer:

13.75 ft (nearest hundredth)

Step-by-step explanation:

The ladder creates a right triangle with the wall and ground, where:

leg (base) = groundleg (height) = wallhypotenuse = ladder

Pythagoras' Theorem: a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

a = 10 ftc = 17 ft

Substitute the given values into the formula and solve for b:

⇒ 10² + b² = 17²

⇒ b² = 17² - 10²

⇒ b² = 289 - 100

⇒ b² = 189

⇒ b = ±√(189)

As distance is positive, b = √(189) ft only

Therefore, the ladder reaches 13.75 ft (nearest hundredth) up the wall.

In ms Perron's class,75% of the students are boys.There are 18 boys in the class.What us the total number of students in ms. Perrons class

To solve this you first have to find your missing percentage 25%
something you can do is find the pattern that there is 75% is 3/4 of 100 so you could find what 25 %is worth out of 18 so 18/3=6.Now that you have found your 25% all you have to do is add the amount of boys to girls so 18+6=24 and you have your answer.

Answers

There are 24 students in the class in which 75% of the students are boys (18 boys)

What is an equation?

An equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the total amount of students in the class.

75% of the students are boys.There are 18 boys in the class, hence:

0.75x = 18

x = 24

There are 24 students in the class in which 75% of the students are boys (18 boys)

Find out more on equation at: https://brainly.com/question/2972832

Which will result in a difference of squares? (negative 7 x 4)(negative 7 x 4) (negative 7 x 4)(4 minus 7 x) (negative 7 x 4)(negative 7 x minus 4) (negative 7 x 4)(7 x minus 4)

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The expression that will result in the difference in the squares is (7x+4)(7x-4).

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The difference between the squares can be written as,

[tex]a^2-b^2=(a+b)(a-b)[/tex]

The expression that will result in the difference in the squares will be

[tex](7x+4)(7x-4)=(7x)^2-(4)^2[/tex]

Thus, the expression that will result in the difference in the squares is (7x+4)(7x-4).

Learn more about Expression:

https://brainly.com/question/13947055


Find the value of z.

Answers

Answer:

6√2=z

Step-by-step explanation:

As we are given a right angle we simply can apply the formula a²+b²=c².
A = 3
B = z

C =  8+1 which we add to get 9
Now, we plug this into the equation

9²=z²+3²

81=z²+9

72=z²

√72=z

√2x2x2x3x3 (expanding 72)

6√2=z

On the last day of vacation, the Hernandez family drove 252 miles from a state park to their home. That drive covered 35% of the total distance the family traveled during their vacation. What is the total distance the Hernandez family traveled during their vacation

Answers

Answer:

  720 miles

Step-by-step explanation:

We are given a distance and a fraction of the total that it represents. This lets us write the relation ...

  252 = 0.35D . . . . . . where D is the total distance traveled

  252/0.35 = D = 720 . . . . divide by the coefficient of D

The Hernandez family traveled 720 miles during their vacation.

Fish weighs 135 pds the scale has error of up to 5%. What is the answer

Answers

It’s 128.15 and 141.75

Transversal Problems with Equations (Level 1)
Delta Math

Answers

Answer:

  x = 15

Step-by-step explanation:

Where a transversal crosses parallel lines, alternate exterior angles are congruent. This lets you write an equation relating the measures of the marked angles.

__

  (6x +8)° = (7x -7)° . . . . the angles have the same measure

  15 = x . . . . . . . . . . . . divide by °, add 7-6x

Gavin has 300 pencils
15% of the pencils need to be sharpened

Work out how many pencils need to be sharpened

Answers

Answer:

45 pencils

Step-by-step explanation:

15%/100% ×300

15% ×3

=45 pencils that needed to be sharpened and it is at easy as that

15% of 300 =

10%= 30

5%= 15

30+15 = 45

45 pencils need to be sharpened

Which is more, 6 quarts or 26 cups?​

Answers

Answer:

26 cups

Step-by-step explanation:

24 cups is 6 quarts, 25 cups is 6.25 quarts, and 26 cups is 6.5 quarts.

Therefore, 26 cups = 6.5

6.5>6

26 cups is larger than 6 quarts.

If you borrow $100 for 3 years at an
annual interest rate of 9%, how
much will you pay altogether?

Answers

Answer:

$127

Step-by-step explanation:

[tex]i = \sf \frac{prt}{100} [/tex]

=> 100 × 3 × 9/100

=> 3×9 = 27

Total amount= 27 + 100

=> 127

Answer :-- $127

nicole sells breaded necklaces .each large necklace sells for $5.30 and each necklace sells for $3.80 . how much will she earn from selling 4 large necklaces and 6 small necklaces

Answers

Answer:

$41.60

Step-by-step explanation:

5.30 *4= 21.20

6*3.80=20.40

20.40+21.20=41.60

In ΔPQR, ∠P and ∠Q are complementary angles.

.

Answers

Answer:

P + Q = 90

P = 90 - Q

Cos (p) = cos (90-Q) = sinQ = 4/5 (given)

You can find CosQ from the triangle of Q

CosQ = sqrt (5^2 - 4^2) / 5 = 3/5

Required = CosP + CosQ = 4/5 + 3/5 = 7/5

Step-by-step explanation:

hope this helps if not please let me now

Answer:

P + Q = 90

P = 90 - Q

Cos (p) = cos (90-Q) = sinQ = 4/5 (given)

You can find CosQ from the triangle of Q

CosQ = sqrt (5^2 - 4^2) / 5 = 3/5

Required = CosP + CosQ = 4/5 + 3/5 = 7/5

Step-by-step explanation:

The line segment reflects across the x-axis. What are the new coordinates for the endpoints? How does the transformation affect the length of the line segment?A) (−4, −8) and (4, 1); The length of the segment does not change.B) (−4, −8) and (−4, −1); The length of the segment does not change.EliminateC) (4, −8) and (−4, 1); The transformed segment is longer.D) (4, 8) and (4, 1); The transformed segment is shorter.

Answers

Answer:

The length does not change

Step-by-step explanation:

Only dilations will change the size of something, the line is just changing locations. because it is across the x axis, apply the rule

x,-y

-4, -8

4, 1

PLEASE HELP!! I NEED HELP ON MY MATH

Answers

Answer:

750 and 3.125

Step-by-step explanation:

a = 750

b= 3.125

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