Three functions are given below: f(x), g(x), and h(x). Explain how to find the axis of symmetry for each function, and rank the functions based on their axis of symmetry (from smallest to largest).

Three Functions Are Given Below: F(x), G(x), And H(x). Explain How To Find The Axis Of Symmetry For Each

Answers

Answer 1

9514 1404 393

Answer:

  f, h, g

Step-by-step explanation:

The axis of symmetry for a vertically-opening parabola is the line ...

  x = constant

where the constant is the x-coordinate of the vertex.

__

h(x)

The equation of f(x) is given in vertex form ...

  f(x) = a(x -h)² +k . . . . . vertex: (h, k)

where (h, k) = (-4, 1).

The axis of symmetry of f(x) is x = -4.

__

g(x)

The equation of g(x) is given in standard form ...

  g(x) = ax² +bx +c

The line of symmetry for this parabola is ...

  x = -b/(2a) = -(-16)/(2(2)) = 16/4 = 4

The axis of symmetry of g(x) is x = 4.

__

h(x)

The x-coordinate of the vertex can be read from the graph:

  x = 1

The axis of symmetry of h(x) is x = 1.

__

From smallest to largest, the rank is f(x), h(x), g(x).


Related Questions

5= s over 25
(this is division by the way)

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Answer:

5

Step-by-step explanation:

tell me what is your favorite color

give brainliest and 15 points

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Hmm anxjkssksdmsmsm black

Answer:

purple because when its really dark it looks sick

Step-by-step explanation:

HELP what are two expressions that are equivalent to -42x+84

Answers

Answer:

-42(x - 2) and -6(7x - 14)

Step-by-step explanation:

can someone help me on this im confused..
-3x-10=32

Answers

Answer:

x = -14

Step-by-step explanation:

First, you will add 10 to both sides, to get -3x=42,  so basicallly you are just simplifying it. Then, you will divide both sides by -3, so you can get x by itself, which you would then be left with x=-14. A little extra information, when you divide a positive number by a negative number it will result in a negative number, hence how I got -14. I hope this helps :)

Mis. Jackson wants to rent a van for a week it will cost a weekly fee plus 0.20 per mile driven let m equal the number of miles Ms. Jackson drives during the week write an algebraic expression that shows a month rent Jackson will pay for the van for the week

Answers

Complete Question

Mis. Jackson wants to rent a van for a week it will cost a weekly fee plus 0.20 per mile driven let m equal the number of miles Ms. Jackson drives during the week write an algebraic expression that shows a week rent Jackson will pay for the van for the week

Answer:

A = w + 0.20m

Step-by-step explanation:

Step 1

We find the equation for the total amount spent in a week

The total amount to rent the van in a week = A

Weekly fee = w

Number of miles = m

Therefore, thw algebraic expression that shows a week rent Jackson will pay for the van for the week is

A = w + 0.20m

What are all the missing angles?

Answers

E is 49 because they are opposite angles. F is 180 - 49 = 131

Answer:

d = 90 degrees

e = 49 degrees

f = 131 degrees

Step-by-step explanation:

angle d is 90 degrees because adjacent angles add to 180 degrees, if the adjacent angle is right it is equal to 90 degrees, 180 - 90 is 90.

angle e is 49 degrees because opposite angles are equivalent.

angle f is 131 because adjacent angles add to 180 degrees, if the adjacent angle is 49, 180 - 49 is 131.

To make a batch of salad dressing, combine 8 tablespoons of oil with 16 tablespoons of vinegar. How many tablespoons of vinegar are needed for every tablespoon of oil?

Answers

Answer:

2 TB of oil every TB of vinegar

Step-by-step explanation:

8/16=0.5

0.5 is equal to 1/2

therefore, since you need a 1/2 TB of vinegar, it would take two 1/2 TB to make 1 TB of vinegar, meaning you would need 2 TB of oil per tablespoon of vinegar.

greatly appriecated if you give me brainliest!

The answer would simply be 2 since you need 2 tb of vinegar for oil so the simple solution would be to just do 16 divided by 2

Find the equation of the line shown

Answers

Answer:

y = x+6

Step-by-step explanation:

Since we know it rises 1 and goes over 1 each time, we can assume the slope is 1. Then, we know the y intercept is 6 since at x=0, y=6.

Eighth grade
What is the surface area?
1 m
1 m
1 m
square meters

Answers

Answer:

If those are the dimensions the surface area is 6 meters

Step-by-step explanation:

cubes have six sides and each side is one unit

please tell me answers I am given you brainliest ​

Answers

What the question? Am I suppose to find an angle or what?

Answer:

what is the question or whatever

Identify the correct equation for the graph below.

Answers

The answer is C. The y-intercept is at -3 and the slope is positive which means it has to be y = 1/2x - 3

Camille has a stamp collection she is very proud of. She buys a frame to display her favorite stamps. The frame is 6 inches wide, and a row of 7 stamps fits perfectly across it. How wide is each stamp?

Answers

Answer:

6 ÷ 7 inches

Step-by-step explanation:

The computation of the width of each stamp is shown below;

Given that

The frame is 6 inches wide

And, the row is 7 stamp fits perfectly across it

So, the width of each stamp is

= 6 ÷ 7 inches

Round to 1 SF
0.0805672

Answers

0.0805672
Sig Figs
6
0.0805672
Decimals
7
0.0805672
Scientific Notation
8.05672 × 10-2
E-Notation
8.05672e-2
Words
zero point zero eight zero five six seven two

Answer:

Step-by-step explanation:

100709/1250000

100709

1250000

Last week Dan had 41 dollars and Keith had 23 dollars. Dan washed cars over the weekend and now has 78 dollars. How much money did Dan make washing cars? Which equation best fits this situation?

Answers

Answer:

Dan made $37 washing cars

equation: 41 + n = 78

Step-by-step explanation:

41 + n = 78

to solve, subtract 41 on both sides of the equation:

41 - 41 + n = 78 - 41

n = 37

Jenna bought enough lattes for all her friends. Each latte was $3.50
and she gave the barista a $20 bill, who then gave her back $2.50
in change. Write an equation modeling this, with x as the cost per late
How many lattes did she buy?

Answers

Answer: 5 lattes

Step-by-step explanation: Our equation is 20 − 3.5x = 2.5, which means x = 5 lattes.

Answer:

Step-by-step explanation:

y=3.5x (cost function where y is cost and x is the number of lattes)

20-2.5=3.5x

17.5=3.5x

5=x

So she bought 5 lattes.

Please help...



Write 324 as a product of its prime factors​

Answers

Answer:

324=

[tex]2 \times 2 \times 3 \times 3 \times 3 \times 3[/tex]

[tex] = 2 {}^{2} \times 3 {}^{4} [/tex]

can someone help me w 3/5 of y is 33?

Answers

3/5 of 19 4/5 is 33

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Answers

I would be led to believe it was c if you still need help

PLEASE PLEASE PLEASE HELO ILL GIVE BRAINEST​

Answers

Answer:

1. g = 4

2. g = 19

3. g = 39

4. g = 59

Step-by-step explanation:

Answer:

4,19,39,59

Step-by-step explanation:

it’s actually pretty simple.

for the first one you take 1 and plug it into n which looks like:

g=5(1)-1

then find yourself answer:

5(1)= 5

5-1=4

answer is 4

then you plug your four into n:

5(4)-1= 19

answer is 19

then you plug your 8 into n:

5(8)-1=39

answer is 39

then you plug your 12 into n

5(12)-1= 59

answer 59

I HOPE I HELPED!!!!!!!!

g(x)=-(x+1)(r-1)(-4)
In standard form?? Please help!

Answers

Answer:

g(x) = 4rx + 4r - 4x - 4

Step-by-step explanation:

g(x)= -(x+1)(r-1)(-4)

In triangle 4JKL, we have JK = 9 and KL = 15. If JL is an integer, what are the largest and smallest possible values for JL?

Answers

Answer:

The largest possible value is 23

The smallest is 7

Step-by-step explanation:

To get the length of JL, we use the triangle inequality theorem

The theorem is that the sum of the measure of any two sides of a triangle must be greater than the measure of the third side of the triangle for the triangle to exist

With respect to this, 9 + 15 must be greater than JL

since JL is an integer ( integers are whole numbers); we have the following

9 + 15 = 24

JL is less than 24; so the nearest integer closest to 24 is 23

Now, let us get the smallest possible value

For the smallest possible value;

Let us call that x

9 + x > 15

15 + x > 9

From the first inequality;

x > 15-9

x > 6

The smallest integer greater than is 7

So the smallest possible value for JL is 7 and the largest is 23

A circle has a mass of 3 grams and a square has a
mass of 2 grams.
What is the mass of a triangle?
an
grams
A.
B. 3 grams
C. 3 grams
D. 11 grams

Answers

3 grams is the answer hope it’s help

Solve for C.
3c-2c-1=13
PLS HELLLP​

Answers

c-1=13 — Combine like terms.
13+1=14 — Cancel the one out.
c=14 — Answer.

Step-by-step explanation:

1c-1=13

1c=13+1

1c=14

c=14

Find the volume of the following solid. Round to the nearest hundredth.

Answers

I think the answer is 50. Hope this helps!

Roberto farms a tract of land that typically yields 69.6 kilograms of peas. A fertilizer manufacturer claims that its fertilizer will produce a 60% increase in the yield. What total amount of peas should Roberto expect from this tract of land if he applies the fertilizer? If necessary, round your answer to the nearest hundredth.

A.111.36 kilograms
B.27.84 kilograms
C.41.76 kilograms
D.4,245.6 kilograms

Answers

Answer:

C

Step-by-step explanation:

When using percentages to multiply 100% is equivalent to a factor of 1, 150% to 1.5, 15% to .15, etc.

first one:

a 60% increase indicates the future yield will be 60% + 100% or 160% of the regular yield.  All you have to do is multiply the current yield by 160% or 1.6

3. same idea: the Akashi bridge is 153% of or 1.53 times the length of the Verrazano-Narrows bridge.

4. Take the difference between the two jobs  ($880.00-$790.00=$90.00) then find what $90.00 is 12% of.

.12 x WN = $90  yields   WN= $90/.12  = amount that he will have to sell.   You can check your answer by multiplying it by .12 to get $90.

If you good at math help please!

Answers

Answer:

3 because your domain should not repeat

Find a 12% tip on a check for $40.

Answers

Answer:

Step-by-step explanation:

40(12/100)

480/100

$4.80

Answer: $4.80

Step-by-step explanation:

%10 = $4.00

%12 = $4.80

%14 = $5.60

Classify △ABC
Choose 2 answers:

(Choice A)
A
Equilateral triangle

(Choice B)
B
Isosceles triangle

(Choice C)
C
Right triangle

(Choice D, Checked)
D
Acute triangle

(Choice E)
E
Scalene triangle

(Choice F)
F
Obtuse triangle

Answers

Answer:

b and d

Step-by-step explanation:

5x + 3y = -15 + y= 2/3x + 9

Answers

-(189/19, 330/19) let me know if you would like an explanation! if i’m wrong please let me know!

Please no more cap answers, actually need help

Answers

Answer:

[tex]\sqrt{8x^{2} }[/tex]+5-3 = 8.12

8.12 rounded to nears whole number is 8

therefore 8.12 rounded down to three decimal places is 8.1

Therefore your answer would be 8.1

If it wont let you add a decimal your answer would also be 8

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