Which of the following statements are true about the graph of f(x) = 6(x + 1)2 -9?
Check all of the boxes that apply.

The vertex is (1, -9).

The graph opens upward.

The graph is obtained by shifting the graph of f(x) = 6(x + 1)2 up 9 units.

The graph is steeper than the graph of f(x) = x2.

The graph is the same as the graph of f(x) = 6x2 + 12x - 3.

Answers

Answer 1

Answer:

the graph opens upward

the graph is steeper then the graph of f(x) = x2

and the graph is the same as the graph of f(x)=6x2 + 12x -3

Step-by-step explanation:

Answer 2

The statements graph opens upwards, graph is steeper than the graph of f(x) = x² and  graph is the same as the graph of f(x) = 6x² + 12x - 3 are true about the graph  f(x) = 6(x + 1)2 -9.

What is a function?

A function can be thought of as an output for the given set of inputs.

Given f(x) = 6(x + 1)² - 9.

f(x) = 6( x² + 2x + 1) - 9.

f(x) = 6x² + 12x + 6 - 9.

f(x) = 6x² + 12x - 3.

The graph opens upward as the coefficient of x² is positive.

The graph is steeper than x² as it has a multiplication factor of 6.

The graph is the same like f(x) =  6x² + 12x - 3 as we have already found out by simplifying.

learn more about functions here :

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Related Questions

What is the value of 3/4 divided by 3/8

Answers

Answer:

2

Step by Step Explanation

Keep Change Flip

3/4x8/3=24/12=2

Answer:

2

Step-by-step explanation:

3/4 divided by 3/8

3/4 x 8/3

cross simplify to get

1/4 x 8/1

cross simplify again to get

1 x 2 = 2

f(x)=3x^2+6x-18 , find f(10)

Answers

Answer:

f(10)=342

Step-by-step explanation:

f(10)= 3(10)^2+6(10)-18

complete your exponet first and multiply 6(10)

f(10)=3(100)+60-18

multiply the 3(100)

f(10)=300+60-18

add and subtract all the numbers together

f(10)=342

what is the value of 2.5x+17+21x-25=180

Answers

Answer:

x=8

Step-by-step explanation:

2.5x+17+21x−25=180

Simplify 2.5x+17+21x−25

23.5x−8=180

Move all terms not containing x to the right side of the equation.

23.5x=188

Divide each term by 23.5 and simplify.

x=8

Hope this helps! :) Plz mark as brainliest

(Score for Question 1: ___ of 6 points)
Refer to the equation 4x+3y=24
A Complete the table of values for at least 2 points. Show your work.
B How did you find these two values? Answer in complete sentences.
C Use the table of values to graph the line.
You must complete all parts to receive full credit.



Answer:
x y



(Score for Question 2: ___ of 5 points)

Answers

I think the first is B

A system of equation is shown: 2x = -y + 6 -4x + 3y =8 what is the solution tonthis system of equations? (-1, -4) (1, 4) (4, 4) (-4, -1)

Answers

Answer:

(1 , 4)

Step-by-step explanation:

2x = -y + 6

-4x + 3y = 8

2x = -y + 6

2x - 6 = -y

-2x + 6 = y

-4x + 3y = 8

-4x + 3(-2x + 6) = 8

-4x - 6x + 18 = 8

-10x + 18 = 8

-10x = -10

x = 1

-2x + 6 = y

-2(1) + 6 = y

-2 + 6 = y

4 = y

Mai's new bedroom has a walk-in closet with a floor that measures 20 square
feet. Her closet ceiling is 9 feet from the floor.
What is the volume of her closet?

Answers

Answer:

The volume of he bedroom is about 180 feet :)

Hope is n years old. Interpret the following expression if the expression represents Hunter's age.

3n -8

A.
Hunter is 8 years younger than Hope's age.

B.
Hunter is 8 years older than 3 more than Hope's age.

C.
Hunter is 8 years younger than 3 times Hope's age.

D.
Hunter is 8 years older than 3 times Hope's age.

Answers

Answer:

its A and B

Step-by-step explanation:

Because if you do the opposite of subtracting is adding so that means you add 8 to 3 which equals to 11 years old.

so that means Hope is 11 years old

The answer is A and B

The angle represents the phase shift, determined by the initial conditions of the experiment or the position of the weight at t = 0. If the weight is at its maximum positive position (weight is above equilibrium) at t = 0, then = 0. If the weight is at its maximum negative position (spring is stretched and weight is below equilibrium) at t = 0, then . If the weight is traveling in the negative direction and passing through equilibrium at t = 0, then . In the response box, describe the initial condition of our experiment; specifically, describe the position of the weight and the direction in which it was traveling.

Answers

Answer:

the weight was approaching the equilibrium position from the positive direction. The weight was on its way down, with the spring stretching

Step-by-step explanation:

This is the word for word answer but be careful and don´t copy it exactly!! paraphrase the answer using your own words

Jane wants to buy carpet for her room measuring 400 square feet. She purchased carpet that costs $20 per square yard. How much will it cost to have her room carpeted? (1 square yard = 9 square feet) Explain how you solved it.

Answers

Answer:

About $888.88

Step-by-step explanation:

divide 400 by 9 to get the total number of how much square yards she needs

400/9 = 44.44444444

Multiply 44.44444444 with $20 to get the amount which is about 888.88

A 33 pound bag of grass seed holds 2 pounds less than 5 smaller bags of seed. Find the weight of the smaller bag of seed.

Answers

Answer:

7 pounds

Step-by-step explanation:

33+2=35....35/5=7

Answer:

The answer is 7.

Step-by-step explanation:

33 + 2 = 35

35 ÷ 5 = 7

Which term describes the relationship between L A and 2 B, if the m LA= 84º and m 2 B = 96º7
A
vertical
В.
adjacent
С
supplementary
D
complementary

Answers

Answer:

Supplementary

Step-by-step explanation:

84 plus 96 equals 180 degrees

supplementary angles are angles that add up to 180 so their relationship is supplementary

I need help with this problem (THIS IS NOT FROM A TEST)

Answers

Answer:

44.5 degrees.

Step-by-step explanation:

Since these triangles are congruent, their angles are the same.

Therefore, we can set an equation with the 2 labeled angles (which are angles C and F):

2.5x+8=3.5x-7

8=x-7

x=15

We can plug 15 back into one of the equations:

2.5(15)+8 = 45.5

This means angle F is 45.5.

To find out the measure of angle E, recall the fact that the angles in a triangle add up to 180. Since this is a right triangle, and F = 45.5, we can set up an equation and solve for x:

90 + 45.5 + x = 180

135.5 + x = 180

x = 44.5

Therefore, the angle E is 44.5 degrees.

Answer:

44.5

Step-by-step explanation:

These triangles are the same so we know that

2.5x + 8 = 3.5x - 7

Subtract 2.5 x from both sides

8 = x - 7

Add 7 to both sides

15 = x

Substitute x

37.5 +8

45.5

There is a right angle so we must add 45.5 + 90 to get 135.5

Subtract 135.5 from 180 to get

44.5

3 + 8 + 6 + 6 + 6 = 58 + 6
How do we solve this

Answers

Answer:

93

Step-by-step explanation:

Please help me if you know the correct answer, thank you

Answers

9515 1404 393

Answer:

Option 4Option 1no solution

Step-by-step explanation:

1. The system is represented by the matrix that has the coefficients in the left three columns and the constants in the rightmost column. Values and signs must match. Only Option 4 makes any sense in this context.

__

2. In the first equation, the y-term has a coefficient of 0. (There is no y-term.) The only matrix choice with a coefficient of 0 in the second column of the first row is Option 1.

__

3. Parallel lines do not intersect, so there can be no solution.

A cab company charges a $3 flat rate in addition to $1.50 per mile what will represent the x axis

Answers

The answer would be y=1.5x+3.

ASAP! I will give branilest!

1. Based on the information in the table, is the cost of the apples proportional to the weight of apples? Yes/No

pounds of apples cost of apples
2 $3.76
3 $5.64
4 $7.52
5 $9.40

2. Base on the information in the table, is the cost of the pizza proportional to the number of toppings? Yes/No



number of toppings cost of pizza
2 $11.99
3 $13.49
4 $14.99
5 $16.49
3. Write an equation for the table that represents a proportional relationship.

c =
1.50 or 1.88




3A. Use the following variables to help in your equation:
Is A the answer or T


a is for pounds of apples
t is for number of toppings

Answers

If u help me I will help u pass everything 100% but only if u help me first

Answer: 1. No  2. Yes   3. 1.88

Step-by-step explanation:

If f(x) = 3x2 + 2x - 2, find f(8) - f(-5)

Answers

Answer: 143

Step-by-step explanation:

f(8) = 3(8)^2 + 2*8 - 2 = 3*64 + 16 - 2 = 192 + 16 - 2 = 206

f(-5) = 3(-5)^2 + 2*(-5) - 2 = 3*25 + (-10) -2 = 75 - 10 - 2 = 63

f(8) - f(-5) = 206 - 63 = 143

what is the denominator of 7/2 and 1/2?​

Answers

9514 1404 393

Answer:

  the denominator of each fraction is 2

Step-by-step explanation:

The numerator of a fraction is the number above the fraction bar; the denominator is the number below the fraction bar. In the fraction ...

  [tex]\dfrac{7}{2}[/tex]

the numerator is 7, and the denominator is 2.

__

Similarly, the number 2 is below the fraction bar and is the denominator in the fraction ...

  [tex]\dfrac{1}{2}[/tex]

The numerator is 1, and the denominator is 2.

_____

The denominators of both of these fractions are 2. Since they are both the same, that value (2) can be used as the common denominator of the sum or difference of these fractions:

  [tex]\dfrac{7}{2}+\dfrac{1}{2}=\dfrac{7+1}{2}\qquad\text{or}\qquad\dfrac{7}{2}-\dfrac{1}{2}=\dfrac{7-1}{2}[/tex]

guys help me 3(x−4)≥−2x+3

Answers

Answer:

sensya na bobo den ako e✌

what is the answer to this question?

Answers

Answer:

1st box

3rd box

5th Box

Step-by-step explanation:

For the first equation, you have to move the decimal place 11 places to the right.

For the second equation, you have to move the decimal 13 places to the right.

-tell me if I'm wrong

Which inequality has -25 in its solution set?
y + 11 > -9
y - 17 Less-than-or-equal-to -46
30 Less-than-or-equal-to y + 5
y + 20 > -30

Answers

Answer: the first option is correct

Y+ 11> -9 this answer is most likely right.

Step-by-step explanation: -25 + 11 = 14 so that makes it bigger that -9 and that it has -25 in the solution set. Let me know if this is for Edmonton.

Answer:

It was D

Step-by-step explanation:

1/2 mi = 880 yd
True
O False

Answers

Answer:

True.

Step-by-step explanation:

If you multiply the length value, you'd get 880 yd. Which basically answers it, the answer is true.

Answer:

True

Step-by-step explanation:

I did this before it kind of complicated but trust me  it true

What is the opposite of 4:3?

Answers

Answer:

3:4???

Step-by-step explanation:

Answer:

3:4

3/4

Step-by-step explanation:

reciprocal

5(r-10)=51 what is r equal to?

Answers

Answer:

r=20.2

Step-by-step explanation:

Please help me with this question? ​

Answers

Answer:

Step-by-step explanation:

The answer is A

If it's not then i'm sorry

Answer:

None of the above

Step-by-step explanation:

A. b ≠ 0

B. Solve for b:

-7/(2 b) = (2 b)/7

Cross multiply:

-49 = 4 b^2

-49 = 4 b^2 is equivalent to 4 b^2 = -49:

4 b^2 = -49

Divide both sides by 4:

b^2 = -49/4

Take the square root of both sides:

Answer: b = (7 i)/2 or b = -(7 i)/2

A researcher predicts that listening to music while solving math problems willmake a particular brain area more active. To test this, a research participant hasher brain scanned while listening to music and solving math problems, and thebrain area of interest has a percentage signal change of 58. From many previousstudies with this same math problems procedure (but not listening to music), it isknown that the signal change in this brain area is normally distributed with amean of 35 and a standard deviation of 10.
(a) Using the .01 level, what shouldthe researcher conclude? Solve this problem explicitly using all five steps of hypothesistesting, and illustrate your answer with a sketch showing the comparisondistribution, the cutoff (or cutoffs), and the score of the sample on this distribution.(b) Then explain your answer to someone who has never had a course in statistics(but who is familiar with mean, standard deviation, and Z scores).

Answers

Answer:

one equal to 5

Step-by-step explanation:

5x x 66

Suppose that two balanced dice are tossed repeatedly and the sum of the two uppermost faces is determined on each toss. a) What is the probability that we obtain a sum of 3 before we obtain a sum of 7? Hint: Let A denote the event of a sum of 3. Let B denote the event of no sum of 3 or 7. Now, begin to list the out the sample space in terms of A and B - it should be recognizable in the lecture notes. Hint: A useful infinite series result when |z| < 1: 1 + z + z 2 + z 3 + z 4 + . . . = 1 1 − z

Answers

رتلمفخيحاحتحثحقنغنفهصنفوامكغمبخصخا

A diagram of a swimming pool is shown.
3.5 m
What is the approximate circumference of the swimming pool? Use 3.14 as an estimate for t.
Ο Α. 7 m
Ο Β. 11 m
Ο Ο Ο Ο
Ο C. 22 η
O D. 28 m

Answers

B
Because 11 m it’s the answer to that give me the same thing

Answer:

B. 11

Step-by-step explanation:

Im good with a Scientific calculator.

Help plz asap I really need help with this

Answers

Answer:

the only solution is -7

Step-by-step explanation:

i am 95% sure that im right

Answer:

3rd

C

The only solution is -7

Step-by-step explanation:

Having trouble with finding the rise over run and simplifying the fraction

Answers

Answer:
The slope is 2/3.

Explanation:
The slope of the line is equal to the rise over run, or in other words, the distance the line travels up over the distance the line travels right.

When we look at the two points, the second point is 3 to the right and 2 above the first. Therefore, the slope, or rise/run of the line is 2/3.

I hope this helps! Please comment if you have any questions :)
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