What do you need if you have to write the equation of a parabola?

Answers

Answer 1

This straight line outside the parabola is called the directrix. For parabolas that open either up or down, the standard form equation is (x - h)^2 = 4p(y - k). For parabolas that open sideways, the standard form equation is (y - k)^2 = 4p(x - h). The vertex or tip of our parabola is given by the point (h, k).


Related Questions

If the area of a rectangle is 6m², then the dimensions must be 2 meters by 3 meters. True or False?

Answers

Answer:

true

Step-by-step explanation:

Answer: true. Explanation: to find area, you have to multiply length times width. Plug the numbers provided into the area formula: 2m * 3m = 6m^2 , which runs true with the statement.

A box has a length of 6 centimeters, a width of 4 centimeters, and a height of 5 centimeters. Jen filled the bottom layer with 24 cubes. What is the volume of the box?

Answers

Answer:

120 centimeters cubed

Step-by-step explanation:

you dont even need to know the last part. multiply length x width x height=volume (6x4x5) to get 120. the volume is 120 centimeters cubed :)

Answer:

120

Step-by-step explanation:

I know this question is old but why not

HELP please ASAP Hw for math class

Answers

2b-15c/5
I’m pretty sure

PLZ HELP ME ASAP!!!

Which of the following is equivalent to the ratio of 14 minutes to 62 minutes?

1. 1 : 3
2. 7 : 31
3. 1 : 9
4. 7 : 40

Answers

Answer:

2. 7 : 31

Step-by-step explanation:

7 * 2 = 14

31 * 2 = 62

7 : 31

14 : 62

PLEASE HELP THANK YOU

Answers

1st one length preserved 2nd length preserved 3rd length preserved and 4th length not preserved.

Hope this helps. :D

Given: W (-4, 2) and Z (7, 5).
What is the slope of the line parallel to WZ?

Answers

Answer:

[tex]\frac{3}{11}[/tex]

Step-by-step explanation:

[tex]\frac{5-2}{7- (-4)}[/tex]  =   [tex]\frac{3}{11}[/tex]

Find the distance between the two points rounding to the nearest tenth (if necessary).
(-2,8) and (3, 4)

Answers

Answer:

6.40

Step-by-step explanation:

Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries. He plans to achieve this goal by visiting 5 new countries per year (y) for the next several years. Which inequality and solution shows the amount of years that it will take for Abraham to meet his goal?

Answers

Given :

Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries.

He plans to achieve this goal by visiting 5 new countries per year (y) for the next several years.

To Find :

Which inequality and solution shows the amount of years that it will take for Abraham to meet his goal.

Solution :

Let, after x years Abraham visited y countries.

It is mathematically given as :

[tex]10 + 5x=y[/tex]

Now, it is given that his goal is minimum of 50 countries.

So,

[tex]10+5x \ge 50\\\\5x\ge 40\\\\x \ge 8[/tex]

Therefore, minimum years required to meet his goals are 8.

Hence, this is the required solution.

Answer:

Im pretty sure the answer is C

Step-by-step explanation:

Good Luck!!!

Complete the square to put () in vertex form. () = 3
2 + 30 − 12. What is the vertex?

Answers

Answer:

A and A

the equation of a parabola in vertex form is

y = a(x - h)² + k

where ( h, k ) are the coordinates of the vertex and a is a multiplier

y = - 2(x + 3)² + 2  is in this form

with vertex = ( - 3, 2)

To find the y-intercept let x = 0

y = - 2(3)² + 2 = - 18 + 2 = - 16

Similarly

y = - 2(x + 2)² + 2 is in vertex form

vertex = ( - 2 , 2)

x = 0 : y = - 2(2)² + 2 = - 8 + 2 = - 6 ← y- intercept

hope this helped

Which relation represents a function?
A. (0, 0), (2, 3), (2, 5), (6, 6)
B. (3, 5), (8, 4), (10, 11), (10, 6)
C. (negative 2, 2), (0, 2), (7, 2), (11, 2)
D.(13, 2), (13, 3), (13, 4), (13, 5)

Answers

Answer: Choice C

For choices A, B and D, the x values repeat in some way.

Choice A has x = 2 repeated

Choice B has x = 10 repeated

Choice D has x = 13 repeated

A function cannot have repeated x values. Put another way, a function is only possible if any given x input goes to exactly one y output.

Choice C shows each x value listed once only. If you were to graph these points, then the relation will pass the vertical line test.


Write an algebraic expression that represents the sum of 3 and one sixth of X

Answers

Answer: 3 + 1/6x

Step-by-step explanation:

From the question, we are informed to write an algebraic expression that represents the sum of 3 and one sixth of.

In mathematics, sum means addition. Therefore, the algebraic expression will be gotten by adding 3 to 1/6 of x. This will be:

= 3 + (1/6 × x)

= 3 + 1/6x

Points C, D, and E are collinear. You are given CD = 18 and CE = 27. What is a possible measure of DE?
0 A 6
B. 7
C. 8
D. 9
HELP PLS

Answers

Answer:

9

Step-by-step explanation:

The measure of DE is 9 units. Therefore, option D is the correct answer.

Given that, points C, D, and E are collinear, CD = 18 and CE = 27.

What are collinear points?

Collinear points are the points that lie on the same straight line or in a single line.

Now, points C, D, and E are collinear.

CE = CD+DE

⇒ 27 = 18 + DE

⇒ DE = 27-18

⇒ DE = 9

The measure of DE is 9 units. Therefore, option D is the correct answer.

To learn more about the collinear points visit:

https://brainly.com/question/1593959.

#SPJ5

A,B,C OR D
PLS HELP..

Answers

Answer:

DDDDDDDDDDDDDd

Step-by-step explanation:

Answer:

its d

Step-by-step explanation:

its steeper than the others

If f(x) = 2x2 + 5x - 8 and f(x) = -10,
which of the following could be a
value for x?
-2

Answers

Answer:

x = -2 or x = -1/2

Step-by-step explanation:

We can just set up an equation where the quadratic is equal to -10, and then solve the equation:

[tex]2x^2+5x-8=-10\\2x^2+5x+2=0\\\\[/tex]

Now, factor:

[tex](2x+1)(x+2) = 0\\x=-2 \text{ or } x=-1/2[/tex]


What is the y-intercept of the line that passes through the points (-2, 4)
and (4, -20). Make sure to choose (X1. Yı) and (X2, Y2) carefully.

Answers

Answer:

y=-4x-4

Step-by-step explanation:

-2,4

4,-20

-20-4 is -24

4--2

6

-24/6 is -4 (slope)

4=-2*-4+b

4=8+b

-4=b (y intercept)

a) What is y=mx+b?
b) What does the m stand for?
c) What does the b stand for?
d) Where do I find the x & y?
e) If I get two coordinate points how do I find the slope? What is the formula?
f) If I get a graph, how do I find the slope?

Answers

a) y=mx+b is slope intercept form.

b) the m is the slope of the line.

c) the b is the y-intercept

d) the x-axis is horizontal, the y-axis is vertical.

e) m = rise/run = y2-y1/x2-x1

f) pick 2 points on the graph & determine their coordinates. find the difference in the y-coordinates (the rise) & the difference in the x-coordinates (the run) & divide them.

Mrs moretti is making welcome bags to give to the 18 students in his homeroom on the first day of school. He puts m mechanical pencils in each bag. He puts twice as many regular pencils in each bag. Which expressions represent the total number of pencils Mr Moretti gives to his students? CHOOSE ALL THAT APPLY: a.) m+2m b.) 18(m+2m) c.) 18+m+2m d.) 18m+18(2m) e.) 54m f.) 18+3m

Answers

Answer:

b.) 18(m+2m)

d.) 18m+18(2m)

e.) 54m

Step-by-step explanation:

Given;

total number of Mr Moretti's students = 18

number of mechanical pencils for each student = m

total number of mechanical pencils for all the students = 18m

number of regular pencils for each student = 2m

total number of regular pencils for all the students = 18(2m)

The total number of pencils given to all the 18 students by  Mr Moretti is given by;

T = Total mechanical pencils + total regular pencil

T = 18m + 18(2m)

T = 18(m + 2m)

T = 18(3m)

T = 54m

Therefore, based on the expressions above, the correct options include;

b.) 18(m+2m)

d.) 18m+18(2m)

e.) 54m

Answer:

18(m+2m)

 18m+18(2m)

54m

Step-by-step explanation:

I took the quiz.

PLEASE HURRYYYY

find three points that solve the equation x- 4y=-18

Answers

Answer:

one of the three plots is (-2,4)

Step-by-step explanation:

Which is a incorrect rounding of 53.864?
A) 54
B) 53.9
C) 53.87
D) 50

Answers

The answer to this, is A

The solution is Option C.

The incorrect rounding of the number 53.864 is 53.87

What is rounding up numbers?

There are basically two rules while rounding up numbers

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down and if the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

Non-zero digits are always significant

Zeros between non-zero digits are always significant

Leading zeros are never significant

Trailing zeros are only significant if the number contains a decimal point

Given data ,

Let the number be represented as A

Now , the value of A is

A = 53.864

Now , on rounding the number A to the nearest , we get

Step 1 :

If we round the number to the nearest integer, the number is 54

Step 2 :

If we round the number to the nearest tenth, the number is 53.9

Step 3 :

If we round the number to the nearest hundredth, the number is 53.86

So , the number 53.87 is not true

Step 4 :

If we round to the nearest tens, the number is 50

Hence , the only incorrect rounding is 53.87

To learn more about rounding up of numbers click :

https://brainly.com/question/4896544

#SPJ5

I need help if you can.

Answers

Answer:

I cant see the equation that well, but i got 5/16

Step-by-step explanation:

Hope this helps!

Answer:

I got C) 1 and 1/4

Step-by-step explanation:

-0.5 + 0.75 = 0.25

1/5 = 0.20

0.25 divided by 0.20 would be over 1 because a fraction divided by another fraction brings the number while a whole number divided by a fraction would bring the number down.

0.25 divided by 0.20 = 1.25

What the equation of the line that is perpendicular to the line y = −3x + 5 that goes through point D (9, 2)?

Answers

Answer:

y=1/3-1 ...............

the most points you will EVER GETTTTTT i would do more points but brainly doesn't let me

Answers

Answer:

Ah Thanks so much

Step-by-step explanation:

I am so bored by the way...

Answer:

daaslkfnsdlfknsdfnsdnfsdf

Step-by-step explanation:

Select each polynomial expression that could be factored by grouping.​

Answers

Answer:

The 2nd and 3rd option

Step-by-step explanation:

They can be separated into 2 pairs and factored

Kaylee and Rory have a circular swimming pool. The pool has a cover that fits snuggly over the top of it. If the radius of the pool is 12 ft, what is the surface area of the cover?

Answers

Answer:

oi

Step-by-step explanation:

Answer:

11 feet maybe

Step-by-step explanation:

Which term is the constant in 17 – 3p?
second time asking

Answers

17

Hope this helps!!!

Mrs. Trout can bake 5 dozen
cookies in 70 minutes. How
many dozen can she bake in
112 minutes?

Answers

Answer:

She can bake 8 dozen cookies in 112 minutes.

Step-by-step explanation:

70/5 =14

112/14= 8

pls help ASAP i got only 5 minuts left

Answers

d if i’m not mistaken

Ron remembers that the second factor was a decimal. Based on the placement of the decimals in the first factor and the product, which must be true of the second factor? The decimal could be one-tenth. The decimal could be two-tenths. The decimal could be five-tenths. The decimal could be seven-tenths.

Answers

Answer: The decimal could be two-tenths.

Step-by-step explanation:

Two tenth as a product of decimals, 2/10 = 0.2. What this means is that a tenth is on of equal parts of something. e.g i received two tenth of the 30 bananas, what this implies is that he received 6 pieces of the bananas and this can be gotten by 2/10*30 = 6.

Answer:

b

Step-by-step explanation:

Translate the algebraic expression below into a written expression.

Answers

Answer:

b is the anwer of youre question

Answer:

B

Step-by-step explanation:

the plus sign means sum so that leaves you with the first two choices already

c has an exponent of two so that would be called squared, and that leaves you with the second one

whats 4*4
hrry answer it

Answers

Answer: 16

Steps: 4 × 4 = 16

PLz mark brainliest:)

Answer:

16

Step-by-step explanation:

4*2 is 8 and 8+8 is 16.

Other Questions
Calculate the vertices (x+3, y + 1) what is the relationship between the radius and diameter of a circle? find the number of point p that is 1/4 of the way from a to b. A__________________B-15 33 Patty needs a total of $80 to buy a bicycle. She has already saved $35. If she saves $10 a week from her earnings, what is the least number of weeks she must work to have enough money to buy the bicycle? challenges we will face terraforming Mars 1. The first step to solving a 2-Step Equation, like in the problem below, isto: *2 points-3x + 5 = 12Division: Divide both sides by -3 to isolate the variable.Addition: Add 3 to both sides to isolate the variable.Subtraction: Subtract 5 from both sides to isolate the variable term.Multiplication: Multiply by the common denominator 60. Do you think every school has equal opportunities and one'ssuccess simply depends on how much they put into it? Or doyou think some schools offer more opportunities for successthan others? Justify your answer using at least two real-worldexamples find the frequency factor at 273 k for the decomposition of nitrogen dioxide, which has the reaction: 2no2(g) 2no(g) + o2(g) the activation energy of the reaction is 111 kj/mol and the rate constant is 1.0 x 10-22 s-1. round to two decimal places. why induced EMF is known as back EMF Which further observation led Mendeleev to create the periodic table Write the number 0.0049 in scientific notation. HELP ME IM BEGGING I need this for my grade final pleaseee helppppI put a picture, I need the answer !!!! zoom in on the picture to read 1. Factor the expression completely 20x^4+80x^3-5x^2-20x Why are stem cells important to multicellular organisms? How would you explain the large increase in 2019 dividends? The large increase in free cash flow from 2018 to 2019 explains the large increase in 2019 dividends. The large increase in net income from 2018 to 2019 explains the large increase in 2019 dividends. The large increase in EBIT from 2018 to 2019 explains the large increase in 2019 dividends. The large increase in sales from 2018 to 2019 explains the large increase in 2019 dividends. The large increase in retained earnings from 2018 to 2019 explains the large increase in 2019 dividends. why do organizations identify their opportunities and threats?? A survey of 500 college students moving into their dorm revealed that 425 brought a microwave, 380 brought avideo game console, and 50 brought neither a microwave nor a game console. A survey participant is randomlyselected. Let M be the event that the participant brought a microwave and let C be the event that the participantbrought a video game console. Organize these events in a two-way table. What is the probability that the participantbrought both a microwave and a console, P(M and C)?0.650.710.760.90 The price for a new car, without sales tax, is$18,900. The buyer must also pay a 5% statesales tax. What is the cost of the car includ-ing the sales tax? A taco stand sells tacos for $3.50 each. The stand's expenses for the day are$180. How many tacos do they need to sell in a day in order to make a profit?Write and solve an equation. How much energy is used by a 1000 W microwave that operates for 5minutes?