Which of the following functions has a graph in which the vertex and axis of symmetry are to the left of the vertex and axis of symmetry of the graph of f(x) = (x – 1)2 + 1? Select all that apply.
A. g(x) = 2(x − 1)2 − 1
B. g(x) = −(x + 1)2 − 2
C. g(x) = 2(x − 1)2 + 2
D. g(x) = −(x − 2)2 + 1
E. g(x) = −(x + 2)2 + 2
F. g(x) = 2(x + 1)2 + 2

Answers

Answer 1

Answer:

B, E and F.

Step-by-step explanation:

The transformation f(x) ------> f(x + a) moves f(x) a units to the left.

So when there is an increase in the number added to x in the parentheses the graph moves to the left.

So B is one because  of the (x  - 1)2 ---> (x + 1)2

The others are E and F.

Answer 2

The functions which has a graph in which the vertex and axis of symmetry are left of the vertex and axis of symmetry of the provided graph of f(x) are,

[tex]g(x) = -(x + 1)^2 - 2\\g(x) = -(x + 2)^2 + 2\\g(x) = 2(x + 1)^2 + 2[/tex]

What is transformation of a function?

Transformation of a function is shifting the function from its original place in the graph.

Types of transformation-

Horizontal shift-Let the parent function is [tex]f(x)[/tex]. Thus, by replacing parent function with [tex]f(x-b)[/tex] Shifts the graph b units right, and by replacing parent function with [tex]f(x+b)[/tex] shifts the graph b units left.Vertical shift-Let the parent function is [tex]f(x)[/tex]. Thus, by replacing parent function with [tex]f(x)+c[/tex] shifts the graph c units down and by replacing parent function with [tex]f(x)-c[/tex] Shifts the graph b units up.

The function of the graph is,

[tex]f(x) = (x -1)^2 + 1[/tex]

The function to be left of the vertex of the above function, b units must be added in the parent function such that,

[tex]f(x+b)[/tex].

The option B, E and F looks like this function.

Thus, the functions which has a graph in which the vertex and axis of symmetry are left of the vertex and axis of symmetry of the provided graph of f(x) are,

[tex]g(x) = -(x + 1)^2 - 2\\g(x) = -(x + 2)^2 + 2\\g(x) = 2(x + 1)^2 + 2[/tex]

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Related Questions

Select the equations that have the solution m = 17 Mark all that apply

A. 3 + m = 21

B. m - 2 = 15

C. 14 = m - 3

D. 2 = m - 15

Answers

The answer is
B, C, and D

Write a positive or negative integer that represents the situation.

The temperature is 13 degrees above zero.

An integer that represents the situation is
PLs Answer this is my finals and I will mark you Brainiest

Answers

Answer:

+13 or just 13

On a multiple-choice test, each question has 4 possible answers. A student does not know the answers to three questions, so the student guesses. What is the probability that the student gets all three questions wrong? The probability that the student gets all three questions wrong is . What is the probability that the student gets all three questions right? The probability that the student gets all three questions right is .

Answers

Answer:

P(making 3 wrong guesses) = 27/64

P(making 3 right guesses) = 1/64

Step-by-step explanation:

Number of possible answers per question = 4

Number of right answer per question = 1

Number of wrong answers per question = (4 - 1) = 3

Probability = (Number of required outcomes / Number of Total possible outcomes)

A.) probability of guess 3 questions wrong :

Probability of making a wrong guess = (number of wrong options / total number of options

P(making a wrong guess) = 3/4

Therefore,

P(making 3 wrong guesses) = 3/4 × 3/4 × 3/4 = (27/64)

B.) probability of making 3 right guesses:

P(making a right guess) = (number of right options per question / total number of options per question)

P(making a right guess) = 1/4

P(making 3 right guesses) =(1/4 × 1/4 × 1/4) = 1/64

Monica deposited $760 into an ordinary annuity after each quarter for 2 years at 4% interest compounded quarterly. Determine the (a) future value of each account and (b) the total interest amount earned.

Answers

Answer:

FV=$823.004

Total interest earned=$63.004

Step-by-step explanation:

FV=PV×(1+i/n)^nt

PV=$760

I=4%

t=2 years

n=4

FV=760+(1+0.04/4)^4*2

=760+(1+0.01)^8

=760+(1.01)^8

=760+(1.0829)

=823.004

FV=$823.004

Total interest amount earned

=FV-PV

=$823.004-760

=$63.004

What is 3 over 14 to the power of 2

Answers

Your answer would be 9 :$

This is the second time I've posted it: I need help on a math problem and it's due in a few hours. Could someone please help me out? I will mark them I Brainlest!

Answers

Answer:

Step-by-step explanation:

inland city has the coldest winter and warmest summer.

inland city, since it has a higher median of around 14.5 Celsius while coastal city has around 14 degrees Celsius

I would prefer to live in coastal city, since it has a smaller range of temperatures. Also, it has nice and mild weather: it has warmer winters than inland city, and cooler summers than inland city.

Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!!!

Answers

Answer:

-1 not in domain

0 in the domain

2 in the domain

Step-by-step explanation:

g(x) = sqrt(8x)

g(-1) = sqrt(-8)   the answer is not real so not in the domain of real number

g(0) = sqrt(0) = 0  in the domain

g(2) = sqrt(8*2) = 16 = 4  in the domain

PLEASE PLEASE HELP ME I NEED HELP IM CONFUSED!!!!
( show the work MANDATORY)
WRITE EACH FRACTION AS A DECIMAL. USE A BAR TO SHOW REPEATING DECIMAL.
1.) 7/10
2.) 1/4
3.)-3/10
4.)1/8
5.) 7/30
6.) 7/11
7.)-3/5

Answers

Answer:

1. 0.7

2. 0.25

3. -0.3

4. 0.125

5. 0.23

6. 0.64

7. -0.6

Step-by-step explanation:

First divided those fractions, then you got those repeating decimals.

Answer:

1.) 0.7

2.) 0.25

3.) -0.3

4.)0.125

5.)0.233 (bar on top of threes)

6.)0.63 (bar on top of 6 and 3)

7.)-0.6

Step-by-step explanation:

1.) 7 divided by 10

2.)1 divided by 4

3.) -3 divided by 10

4.)1 divided by 8

5.)7 divided by 30

6.)7 divided by 11

7.)-3 divided by 5

Melissa and Jane are planting trees. Melissa plants 10 trees in 1 hour. Jane plants 17 tree in 2 hours.
Enter an equation that can be used to find the number of hours t, takes Melissa and jane to plant 111 trees together

Answers

Answer:

6 hours

Step-by-step explanation:

Let both of them plan for  t hours to plant 111 trees n t hours

Melissa  can plants 10 trees in 1 hour

in t hours she can plant 10 t trees

Jane plants 17 tree in 2 hours

in one hour Jane can plant 17/2 trees

in t hours she can plant (17/2)t  trees.

Total trees planted by both of them in t hours in terms of t will be

10t + (17/2)t

= (10t*2 + 17t)/2

= (20t + 17t)/2

= 37t/2

but it is given that they planted 111 trees together

so 37t/2 should be equal to 111

37t/2 = 111

=> 37t = 111*2 = 222

=> t = 222/37 = 6.

Thus, it takes 6 hours for both of them to plant 111 trees together.

b) the diagram shows a triangle ABC use the tool to matk angle CAB

Answers

Answer:

This triangle is right angle triangle

Step-by-step explanation:

Help pleaseee look at the photo above... What’s the answer for y?

Answers

y = 25x

the x represents gallons

Dan invests £1000 into his bank account. He receives 10% per year simple interest. How much will Dan have after 2 years? Give your answer to the nearest penny where appropriate.

Answers

Answer:

1200

Step-by-step explanation:

i=prt is the interest equation however we must find the total because it says After 2 years

first lets do 1000*.1*2=200

1000+200=

1200

A Car is moving on a straight road with velocity 30m/s and is speeding up at constant rate and reaches a velocity of 90m/s. What is the average velocity of the journey? PLZZZ ANSWER

Answers

Answer:

60m/s

Step-by-step explanation:

velocity of the while moving is 30 m/s and it becomes 90 m/s after speeding up at constant rate. so the average velocity of the journey is

[90+30] /2

=60 m/s

QUESTION 5 of 10: You are considering selling your home. You consult with an agent who gives you the asking prices of five homes (comps)
in your area: $165,000, $188,000, $175,000, $150,000 and $400,000. The $400,000 is an outlier so you will not include it in your evaluation. In
determining a reasonable asking price, what is the mean of the four remaining comps?
a) $188,000
b) $215,000
Oc) $169,500
d) $175,000

Answers

Answer: $169,500

Step-by-step explanation:

The mean simply means the average price of a set of a numbers that are given. For one t calculate the mean, one has to add the numbers that are given and then divide them by the amount of numbers.

I'm the case above, the numbers given are $165,000, $188,000, $175,000, and $150,000.

Mean = ($165,000 ,+ $188,000 +$175,000 + $150,000) ÷ 4

= $678,000/4

= $169,500

Answer:

c) $169,500

Step-by-step explanation:

I just took the quiz.

plz help!
solve for p

Answers

Answer:

[tex] \boxed{p = 4} [/tex]

Step-by-step explanation:

[tex] = > {p}^{2} = 16 \\ \\ = > {p}^{ \cancel{2}} = {4}^{ \cancel{2}} \\ \\ = > p = 4 \\ \\ \\ OR \\ \\ \\ = > {p}^{2} = 16 \\ \\ = > {p}^{2} = {4}^{2} \\ \\ = > p = \sqrt{ {4}^{2} } \\ \\ = > p = {4}^{ \cancel{2} \times \frac{1}{ \cancel{2}} } \\ \\ = > p = 4 [/tex]

Using the given equation, we know that the square root of p = 16.

Because of this, we also know that the square root of 16 will equal p.

[tex]\sqrt{16} = 4[/tex]

Therefore, p is equal to 4, or p = [tex]\sqrt{16}[/tex].

Hope this helped! :)

Please answer correctly !!!!!!!!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer:

lower price = 3

higher price =11

Step-by-step explanation:

p(x) = -2(x-3) (x-11)

Setting equal to zero

0 =  -2(x-3) (x-11)

Using the zero product property

x-3 = 0   x-11 =0

x=3          x = 11

what is the x and y intercept of y= 8x-18

Answers

Answer:

The x-intercept is (2.25,0).

The y-intercept is (0,18)

what number times itself to be 49

Answers

Step-by-step explanation:

x × x = 49 there are two values for x

1) 7 because 7 × 7 = 49

2) -7 because -7 × -7 = 49 the square value for negative numbers is positive.

The number 7 times itself equals the number 49.

Mrs. Jackson gives the table below to her students. In order for the function to be linear, what must a be and why? a = 22 because the rate of change is 1. a = 20 because the rate of change is 3. a = 22 because the rate of change is –1. a = 20 because the rate of change is –3.

Answers

Answer:

D

Step-by-step explanation:

a = 20 because the rate of change is –3.

What is a linear function?

A linear function has one independent variable and one based variable. The independent variable is x and the based variable is y. a is the steady time period or the y-intercept. it's far the cost of the dependent variable while x = zero.

What are the requirements for functions to be linear?

Which will be a linear feature, a graph needs to be both linear (a direct line) and a characteristic (matching each x-value to the most effective y-value). It must also pass a polygraph check, complete an obstacle path, and offer a minimum of 3 references. The qualifications are stringent.

Learn more about linear function here: brainly.com/question/14796161

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Which ordered pair represents the solution to the system of equations?
2x-7y=0
x-6y=-5
A. (7,2)
B. (2,7)
C. (1,1)
D. (-11,-1)

Answers

The correct answer is B. (7,2)

Square tiles (12 inches by 12 inches) are used to cover a rectangular countertop containing 40 square feet. How many tiles are needed to cover the countertop?

I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!! :)

Answers

Answer:

it would take 40

Step-by-step explanation:

12 inches = 1 foot

1 foot by 1 foot square tiles

And 40 square feet so

1 x 40 = 40


Find the area of the irregular polygon, pls hurry I need this quickkkkkk




A: 96 in2
B: 120 in2
C: 80 in2
D: 154 in2

Answers

Answer:

To find the area of an irregular polygon you must first separate the shape into regular polygons, or plane shapes. You then use the regular polygon area formulas to find the area of each of those polygons. The last step is to add all those areas together to get the total area of the irregular polygon

and i thank that it is b 120  in2

Simplify -(3xy^4)^-4

Answers

Answer:

[tex]\frac{-1}{81x^4y^16}[/tex]

Step-by-step explanation:

→Rewrite the expression so that the exponent is no longer negative. To do this, you write it as:

[tex]\frac{-1}{(3xy^4)^4}[/tex]

→Apply the exponent (4) to the 3, x, and [tex]y^4[/tex]:

[tex]\frac{-1}{81x^4y^16}[/tex]

Giardo is using the model below to solve the equation 3×+1 = 4×+(-4) which step could be adjusted so that Gerardo final step results in a positive x value

Answers

Answer:

The answer is B. In step one he should have added 3 negative x-tiles to both sides.

See attachment for complete question.

Answer:

The correct option is B.

In step one he should have added 3 negative x-tiles to both sides.

Step-by-step explanation:

Given the equation

3x + 1 = 4x + (-4)

Adding 3 negative x tiles, we have

3x + 1 + (-3x) = 4x + (-4) + (-3x)

1 = x - 4

x = 1 + 4 = 5

Please answer correctly !!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!

Answers

Answer:

B. No solutions

Step-by-step explanation:

Answer:

It is B

Step-by-step explanation:

They are both parallel to each other.

a+√b) (a-√b .)is equal to​

Answers

Answer:

Step-by-step explanation:

[tex]a^{2} - a\sqrt{b} + a\sqrt{b} - b^{2} \\= a^{2} - b^{2} or (a+b) . (a-b)[/tex]

Value of given multiply a² - b

Given that;

(a+√b)(a-√b)

Find:

Value of given multiply

Computation:

(a+√b)(a-√b)

Formula used;

⇒ (a + b)(a - b) = a² - b²

So,

⇒ (a+√b)(a-√b)

⇒ (a)² - (√b)²

⇒ a² - b

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Which parent function is represented by the graph?

Answers

Answer:

This is an absolute value graph

Step-by-step explanation:

Express the form 1: n

5:20

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

5 : 20

Divide both sides by 5 to get the answer

5/5 = 1

20/5 = 4

Thus, the answer is 1 : 4

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Miles has a piece of paper that is 1/4 of a large circle.He cuts the paper into five equal parts from the center point of the circle. What is the angel measure of each part?

Answers

Answer:

18°

Step-by-step explanation:

First, we find the angle of the large piece of paper that is 1/4 of a circle.

The angle in a circle is 360°. The angle in 1/4 of a circle is:

1/4 * 360 = 90°

He cuts the paper into five equal parts from the center point of the circle. That means the angle was divided into 5 parts:

1/5 * 90 = 18°

Each part has an angle of 18°,

Answer: it's 18

Step-by-step explanation: 18 is the answer hope this helps

What is the inverse of the function f(x) equals X +3

Answers

Answer: Option C

(C) h(x) = x – 3

Step-by-step explanation:

What is the inverse of the function f(x) = x +3?  

(A) h(x) = one-thirdx + 3

(B) h(x) = one-thirdx – 3

(C) h(x) = x – 3

(D) h(x) = x + 3

Answer:

c

Step-by-step explanation:

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