What is the vertex of f(x) = 3(x+2)^2 -1

Answers

Answer 1

Answer:

[tex]The~vertex~of~parabola~f(x) = a(x-h)^2+k~is~(h,k).\\Given~equation~of~parabola~is:\\f(x) = 3(x+2)^2-1\\So,~ h =-2 ~and~k=-1\\Therefore,~(-2,-1)~is~the~vertex~of~parabola.[/tex]


Related Questions

What is the slope????

Answers

Answer:

-6

Step-by-step explanation:

is that quizzes join lol

My cousin is scared to talk to the boys at our party cus she thinks even though they are related they are mean. Should she go back there and talk to them, or should me or cousin 2 go with her.

Answers

Answer:

Don't force her let her ease into maybe getting comfortable enough to talk to the boys. Give some encouraging words for moral support but don't push it and don't go on your own without her. There will be plenty of more times to talk to different boys. Hope you have a great party.

Slope 7; (4,-30 equation

Answers

Answer: y=7x-68

Step-by-step explanation: Ok so you would use point slope to slope so plug the points in.  y+30=7(x-4)  then if you need to convert it further into slope intercept form just simplify and distribute. So y+30=7x-28, subract 30 from both sides to get y=7x-68

Hence, the slope of line is [tex]y=7x-58[/tex].

What is the slope of line?

The slope of a line gives the measure of its steepness and direction. The slope of a straight line between two points says [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] can be easily determined by finding the difference between the coordinates of the points.

The slope is usually represented by the letter ‘m’.

Here given that,

Slope is [tex]7[/tex] and the coordinates of [tex](x,y)=(4,-30)[/tex].

As we know slope of line is

[tex]y=mx+c[/tex]

where [tex]m[/tex] is the slope.

So,

[tex]y+30=7(x-4)[/tex]

Now convert it further into slope intercept form

[tex]y+30=7x-28\\\\y=7x-28-30\\\\y=7x-58[/tex]

Hence, the slope of line is [tex]y=7x-58[/tex].

To know more about the slope of line

https://brainly.com/question/12203383

#SPJ2

Write an equation in point-slope form of a line that has a slope of -2 and
passes through the point (2, 3).

Answers

Answer:

y=-2x+7

Step-by-step explanation:

Please gimme brainliest!!

Answer:

y-3=-2(x-2)

Step-by-step explanation:

y-y1=m(x-x1)

y-3=-2(x-2)

When 0.5(20x – 50y + 36) – 0.25(–100x + 40y – 12) is simplified, what is the resulting expression?
A) 10x - 25y + 18 - 25x + 10y - 3
B) -15x - 15y + 15
C) -10x + 25y + 18 + 25x - 10y + 3
B) 35x - 35y + 21

Answers

Distribute -

(Multiplying by 0.5 is same as divide by 2)
10x-25x+18 - 25x -10y + 3
The answer is C

Answer:

D. 35x-35y+21

Step-by-step explanation:

Pleaseeee helpp answer correctly !!!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!

Answers

Answer:

26 cm

Step-by-step explanation:

Answer:

26 cm!

If A extends to O which is half of the rectangle, and we need BD... We times AO by two to get BD. :)

v=u + at
u= 2
a = -5
t = 1/2
Work out the value of v.

Answers

Answer: -1/2

Step-by-step explanation:

V=2+(-5)*1/2

Answer:

V=u+at

=2+(-5)/0.5

= - 3/0.5

V=-6

A rental car agency charges $160.00 per week plus $0.25 per mile to rent a car. How many miles can you travel in one week for $340.00?

Answers

Answer:

720 miles

Step-by-step explanation:

let 'm' = # miles you can travel for $340

340 = 160 + .25m

180 = .25m

m = 180/.25

m = 720

One jar of spaghetti sauce is made with 2/3 of a cup of tomatoes. How many full jars of spaghetti sauce can be made with 3 cups of tomatoes?

Answers

Answer:

4

Step-by-step explanation:

2/3 for 1 jar | meaning that: 1 jar: 1 cup (1/3 left) | 1 jar: 1 cup (1/3 left) | 1 jar: 1 cup (1/3 left) | 3/3 are left, and that makes another one (the 4th one).

x take away 5 is less than 8

Answers

What are you asking?

on the grid below draw a line that is perpendicular to the line AB

Answers

Here’s the answer, hope it helps :)

Emma receives a large box in the mail.The box is 10cm longer than it wide,and the height is 6 cm more than the width

Answers

Answer:

y³+16y²+60y

Step-by-step explanation:

Complete question

Emma receives a large box in the mail. The box is 10cm longer than it wide, and the height is 6 cm more than the width. Find the polynomial function for volume of the box

Let the length be x

Let the width be y

let the height be z

If the box is 10cm longer than it wide, then x = y + 10

Also if the height is 6 cm more than the width,

z = y + 6

Volume of the box = xyz

Substitute

Volume of the box = (y+10)(y)(y+6)

Volume of the box = (y+10)(y²+6y)

Volume of the box = y³+6y²+10y²+60y

Volume of the box =  y³+16y²+60y

Hence the required polynomial function is y³+16y²+60y

Note that the question asked was assumed

Without using technology, describe the end behavior of f(x) = 3x32 + 8x2 − 22x + 43. (2 points)​

Answers

Answer:

This function is an even-degree polynomial, so the ends go off in the same directions, just like every quadratic I've ever graphed. Since the leading coefficient of this even-degree polynomial is positive, the ends came in and left out the top of the picture, just like every positive quadratic you've ever graphed. All even-degree polynomials behave, on their ends, like quadratics.

Step-by-step explanation:

Please helpppppppppppppppppp


The graph shows the progress of a train travelling between cities.


a) How far does the train travel in the 4 hour journey?


b) Write down a unit rate which compares the distance travelled with the time taken.

Answers

Answer:

a) 240 km

b) 60 km in 1 hour

Answer:

A) It will take 4 hours to get to a distance of 240.

B) If we find the unit rate of 240 by 4, divide 240 by 4, which is 60.

Step-by-step explanation:

A) Look at the graph, you see the dot is left by 240 and down by 4. So it would take 4 hours to get to a distance of 240.

B) Like I said, we divide 240 by 4. Make sure to put 1 as the denominator, and divide the top and bottom by 4.

PLEASE HURRY I NEED THIS ANSWERED Which expressions are equivalent?

Answers

Answer:B

Step-by-step explanation:

B because 3 is still x answers are just flipped

Please HELP will give Brainliest!!
Graph the following functions on the same set of axes for -20 < x < 21.
y= sinx
y= sin(x - 2)
y= sinx+ sin(x - 2)

Answers

Step-by-step explanation:

blue=sin x

red= sin(x-2)

green= sin x+sin(x-2)

what is the area of triangle DEF

Answers

Answer: 588 centimeters

Answer:

C: 588 square centimeters

Step-by-step explanation:

A= 1/2(b)(h)

base: 42

height: 28

A = 1/2(42)(28)

A = 1/2(1176)

A = 588

Given the diagram below, find the value of x:



a
27.5
b
62
c
8.5
d
31

Answers

Answer:

x = 31

Step-by-step explanation:

The 3 angles in a triangle sum to 180°

Sum the 3 given angles and equate to 180

2x - 7 + 2x + 63 = 180, that is

4x + 56 = 180 ( subtract 56 from both sides )

4x = 124 ( divide both sides by 4 )

x = 31

Use the x-intercept method to find all real solutions of the equation.
x? - 7x2 + 4x + 12 = 0

Answers

Correct equation is;

x³ - 7x² + 4x + 12 = 0

Answer:

All the real solutions are -1, 2 and 6

Step-by-step explanation:

The x-intercept of x³ - 7x² + 4x + 12 = 0 will occur where y is zero. This is where the curve crosses the x-axis on the graph of this function.

Now, I have plotted a graph of this function and attached it.

From the attached image, the curve crosses the x - axis at the points, x = -1, x = 2, x = 6.

Therefore all the real solutions are -1, 2 and 6

sum of the first nth term of a series is given by Sn = n (3n-4). Show that the terms of the series are in arithmetic progression​

Answers

Answer:

see explanation

Step-by-step explanation:

Using the sum to n terms formula, then

S₁ = 1(3 - 4) = 1(- 1) = - 1 ⇒ a₁ = - 1

S₂ = 2(6 - 4) = 2(2) = 4, then

a₂ = S₂ - S₁ = 4 - (- 1) = 4 + 1 = 5

S₃ = 3(9 - 4) = 3(5) = 15, then

a₃ = S₃ - S₂ = 15 - 4 = 11

S₄ = 4(12 - 4) = 4(8) = 32 , then

a₄ = S₄ - S₃ = 32 - 15 = 17

S₅ = 5(15 - 4) = 5(11) = 55 , then

a₅ = S₅ - S₄ = 55 - 32 = 23

The first 5 terns of the series are

- 1, 5, 11, 17, 23

There is a common difference (d) between consecutive terms

d = 5 - (- 1) = 11 - 5 = 17 - 11 = 23 - 17 = 6

Thus the series is in arithmetic progression

7x+3(-4x-2)=-6 how do i solve

Answers

Answer:

Step-by-step explanation:

7x+3  (-4x-2)=-6

remove the parenthesis

7x-12x-6=-6

-5x=0

x=0

How to solve your question- 7

What is the surface area, in square inches, of a prism with a length of 10 inches, a width of 7 inches, and a height of 3 inches?​

Answers

Answer:

measurement square meter

Step-by-step explanation:

thats good answer

sana po makatulong po sa inyo

po....................

ANSWER PLSSSSSS A delivery truck traveled 133 miles in 3.5 hours. What was the average speed of the delivery truck in miles per hour?

Answers

Answer:

38 Miles Per Hour

Step-by-step explanation:

133 / 3.5 = 38

Answer:

He went 38 miles on one hour.

Step-by-step explanation:

You would do the equation 133/3.5

133/3.5 = 38

Describe and correct the error in solving the following rational equation , plz help!!!!!

Answers

First of all, x cannot ever equal -1 because if it does then in the original equation you'd be dividing by 0, which is not possible. anything divided by 0 is undefined.

I think the error was in the second step: x(x+1) = 2(x+1) because they didn't need to go from the first step to there. I'm assuming they multiplied both sides of the equation with (x+1) to get rid of the fraction, but since both sides have (x+1) as the denominator the (x+1) would've cancelled out instead of multiplying with the numerator.

Correction:

[tex]\frac{x}{x+1} = \frac{2}{x+1}\\(\frac{x+1}{1}) (\frac{x}{x+1}) = (\frac{2}{x+1})(\frac{x+1}{1}) \\x = 2[/tex]

as u can see, in the second step of this correction, the (x+1)s on both sides cancel out so only the numerators remain.

Hope this helps!

How do I write a polynomial with nine roots? Do I just have to make sure I have x^9 or is that wrong?

Answers

Step-by-step explanation:

Yes, the degree of the of the polynomial will tell how much roots it has.

A linear equation with degree has one root so it only has 1 possible answer.

A quadratic equation with the degree of 2 has two possible roots.

So write a polynomial equationcwith the highest degree of 9.

Uh, what's 2+2 plus 8 plus 9 plus 10take away 100

Answers

Answer:

21

Step-by-step explanation:

Answer: -69

Step-by-step explanation:

help me out with this pls (multiple choice)

Answers

Answer:

45 45 90 special triangle

7√2 = √98

x² + y² = 98

x = y

x² + x² = 98

2x² = 98

x² = 49

x = 7

y = 7

ANSWER: c

Max is selling iPhone cases online. He offers two colors red and green. The red
cases (x) cost $10 each and the green cases (y) cost $20 each. He is trying to sell at
least $500 worth of cases each week. Create an inequality and graph it below.
Please state a combination of cases that meets his goal.
(Scale suggestion 1 box = $5)

Answers

Answer:

See below

Step-by-step explanation:

Red cases  x = $10 eachGreen cases y = $20 eachMinimum target is $500

Required inequality:

10x + 20y ≥ 500

The graph is attached

Some combinations:

50 red or 25 green or 18 of each color etc.Any combination of positive numbers in the shaded region.

Howdy;)

Step 1 - Write Script. Learn exactly how to use Powtoon to craft your story, and turn it into an exciting, powerful video that engages your audience like never before! ...

Step 2 - Record Voiceover. Once you've drafted your script, it's time to turn it into a voiceover. ...

Step 3 - Add Visuals.

Write the equation of the line in slope intercept form. Given the slope is 5 and the y-intercept is -8 (3pts)

Answers

Answer:

y=5x-8

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept.

Help me plz, i'll mark brainiest

Answers

Answer:

1. y=ax^2+bx+c, where a,b, and c are real numbers and a doesn't equal zero

2. Parabola

3. Opens upward

4. Opens downward

5. Vertex

6. Axis of Symmetry

7. Zeros, roots, or x-intercepts

8. You are already given the function so

Step 1: FInd Axis of Symmetry

Equation for Axis of Symmetry: x= - b/2a

Step 2: Find Vertex

- The vertex will be on the Axis of Symmetry, so plug in x then find y.

Equation for Vertex: Ex. The vertex is (-5) which is x now we find y by plugging in -5 whenever we see an X. f(x) = -(-5)^2 - 10(-5)-25=0 our vertex would be (-5,0)

Step 3: Draw your coordinates plane and "dash in" the axis of symmetry. Then plot your vertex

Step 4: Plot your y-intercept and the point symmetrical to it. The y-intercept is "c"

Step 5: Find at least other point on the parabola and draw the curve.

Other Questions
Convert CH4 to C2H6?Dehydration of alcohol by conc. H2SO4.....? 1.What do you think?you don't have to like someone to respect him or her. Do you agree? Why or why not?2. Describe one person you respect in your life. What does thisperson do to earn your respect?3. How important is respect in our lives? Why?4. Do you consider yourself to be a respectful person? Why orwhy not? In what ways do you show respect to others?5. How do you think respect affects your community, theworld? The amount of kinetic energy an object has depends on its mass and its speed. a. Trueb. False a. El gato est encima del acuario. *pls help*i need some guidance with these three questions, you dont have to answer them completely anything is helpful! 1.204 x 10^24 molecules of CH3COOH is how many grams? President Hoover was harshly criticized by many for his lack of response to the stock market and the coming economic depression. Many Americans lost their jobs, lost their farms, survived on handouts, lived in Hoovervilles, etc. Question: If you had been an advisor to President Hoover, what actions would you have recommended he take to provide support and assistance to struggling Americans? 3(x-4)= 2(x + 5) Find the number Select the correct answer. How was Christianity spread during the Middle Ages? 3 + = - 24how do i convert to slope intercept form Gabriela 30 in of ribbon to make bows each bow uses 5 in of ribbon how many ribbons dose Gabriela make A student is preparing to take a bath when she realizes the hot water tap in the bathroom is not working the student go to the kitchen and prepares 10 of 100C water to mix with 10 L of 10C water Tres ninos menores de tres anos en esa familia ahorahubo habiahay haya I'LL GIVE BRAINLIEST IF YOU EXPLAIN THE ANSWER AND IF IT IS RIGHT: Which word uses the Greek root for "chief" or "ruler" list things about MIT math work pls help :) This is urgent I needed help.When 3 times a number is increased by 4,the answer is the same as when 12isdecreased by the number. Find the number. Traditional economies are prone to because they cannot tolerate anyone who breaks long standing rules of economic behavior