how do I write the equation of the parabola in intercept form​

How Do I Write The Equation Of The Parabola In Intercept Form

Answers

Answer 1

Answer:

The equation of the parabola in intercept form is [tex]y = -\frac{3}{4}\cdot x\cdot (x-4)[/tex].

Step-by-step explanation:

The equation of the parabola in intercept form is defined by following formula:

[tex]y = a\cdot (x-r_{1})\cdot (x-r_{2})[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]a[/tex] - Vertex constant.

[tex]r_{1}, r_{2}[/tex] - Intercepts of the parabola.

According to the graph, we find that intercepts are 0 and 4, respectively, and a point in the parabola is [tex](x,y) = (3, 2.25)[/tex]. If we know that [tex]r_{1} = 0[/tex], [tex]r_{2} = 4[/tex] and [tex](x,y) = (3, 2.25)[/tex], then the vertex constant is:

[tex]a = \frac{y}{(x-r_{1})\cdot (x-r_{2})}[/tex]

[tex]a = -\frac{3}{4}[/tex]

The equation of the parabola in intercept form is [tex]y = -\frac{3}{4}\cdot x\cdot (x-4)[/tex].


Related Questions

the three steps shown below were used to find an expression equivalent

Answers

Answer:

You forgot to fully write the question

Step-by-step explanation:

(灬 º‿º 灬) ♡

The total number of hours tea that Trent has practiced his guitar after D days is modeled by the equation shown t=3d

Answers

Answer:

The complete table is

d               t

1               3

3              9

5              15

Step-by-step explanation:

Here is the correct and complete question:

The total number of hours, t, that Trent has practiced his guitar after d days is modeled by the equation t = 3d.

Complete the table below.

d               t

1

3

               15

Step-by-step explanation:

For the first space, we are to determine the value of t when d is 1

From the given equation, t = 3d, put d = 1 and determine t

t = 3d

∴ t = 3(1) = 3×1

t = 3

For the second space , we are to determine the value of t when d is 3

Put d = 3 in the equation to determine t

t = 3d

∴ t= 3(3) = 3×3

t = 9

For the third space, we are to determine the value of d when t is 15.

Put t = 15 in the equation and then find d

t = 3d

∴ 15 = 3d

Divide both sides by 3

15/3 = 3d/3

5 = d

∴ d = 5  

Alternate exterior angles are congruent.
Which angle forms a pair of alternate
exterior angles with angle 1?

Answers

Answer:

angle 8

Step-by-step explanation:

because they both are alternate exterior angles

homies can one of yalls do this im confused

Answers

Answer:

ΔWUV⁓ΔSRT

Step-by-step explanation:

∠W⁓∠S

∠U⁓∠R

*WILL GIVE BRAINLY PLS HELP."

write the equation of the linear relationship in slope-intercept form, using decimals as needed.​

Answers

Answer:

y = 0.55x + 1.5

Step-by-step explanation:

Slope is 0.55 and y-intercept is 1.5

Multiply -90/11 by -55/72 with explanation...

Pls fast...Will mark Brainliest for the best one...

Answers

Answer:

25/4

Step-by-step explanation:

Multiplying numerators gives 4950 and multiplying denominators gives 792. 4950/792. simplify to get simplest form as 25/4

Answer:-6.25

Step-by-step explanation:

help please im so bad at these

Answers

Answer:

i'm not sure if this is right, but this is what i got from a calculator. steps are shown in the pictures.

Step-by-step explanation:

Omar is planning to buy some new baseball shoes. He has already saved $22.50 The shoes cost at least $38 dollars. He writes an inequality to determine how much more he will need to save

Answers

Answer:

At least $15.50

Step-by-step explanation:

Omar is planning to buy some new baseball shoes. He has already saved $22.50

The shoes cost at least 38 dollars.

At least means, greater than or equal to which is represented by the sign

The inequality is given as

22.50 + x ≥ 38

x ≥ 38 - 22.50

x ≥ 15.5

Therefore, he would need to save at least $15.50

Can somebody help me with this. Will Mark brainliest.

Answers

Answer:

X=reference angle, 8=opposite side, and 11 is the hypoteneuse

Carlos purchased a bouquet of 20 flowers. In the bouquet, 25% are roses, 40% are daisies, and the rest are carnations. How many carnations are in the bouquet Carlos purchased? PLEASE HURRY

Answers

Answer: 7

Step-by-step explanation: 35% of 20 = 7

I hope you do good on your test :)

Answer:

7

Step-by-step explanation:

addd lol

Rasheed has an account balance of
-$125.56. Does Rasheed owe the bank more or less than $125?

Answers

Answer:

Yes, He Owes More

Step-by-step explanation:

he or she owes the bank more money because he is in the negative range, so that means whenever you're in the negative range have to pay someone something (which basically means debt)

____________________________________________________________

Hope this helps!

Please give brainlist!

Answer:

yes rasheed owes more the banck than 125

Step-by-step explanation:

raseed owe the bank 125.56. wich is .56 more than 125

solve for x in the equation below, show all work

Answers

Step-by-step explanation:

(3x-1)(x+1)=3(3x-4+x²)

open the brackets

=3x²+3x-x-1=9x-12+3x²

=3x²+2x-1=9x-12+3x²

collecting like terms

=3x²-3x²+2x-9x=-12+1

=-7x=-11

=x=11/7

question number four pls help I will mark brainiest​

Answers

I am not really sure but I think the answer is B

Marcus mows lawns for his summer job. He earns $15 per lawn. If he earned $75 dollars during the week, how many lawns did he mow?

Answers

Marcus mowed 5 lawns

Explanation: 75 divided by 15 = 5

I NEED ANSWERS ASAP!!! PLEASE

Answers

Answer:

10 in by 48 in

Step-by-step explanation:

The volume (V) of a rectangular solid is calculated as

V = Ah ( A is the area of the base and h the height )

Here h = 3 and V = 1440 , then

3A = 1440 ( divide both sides by 3 )

A = 480 in²

The area of a rectangle = length × breadth

From the give options

10 × 48 = 480 ← is the only option

 WHO KNOWS FUNCTIONS AND ALL THAT PLZZZ HELP ME ASAP I REALLY NEED IT PLZZ

Answers

the last set because a function can’t have the same two x values

Karla has spent $39 on food. She bought milk, cheese, and meat. The milk cost half as much as the cheese and the meat cost four times as much as the cheese. Which equation would help you find the cost of the cheese?

Let c = the amount spent on cheese

Click on the correct answer:

1)C+ 4c/5c=39

2)C+2c + 4c = 39

3)C+.5c + 4c = 39

4)C(.5c+ 4c) = 39

This is part of "Using Linear Equations to Solve Problems:Application" on Edmentum.​

Answers

Answer:

i think the answer is 3)C+.5c + 4c = 39

Step-by-step explanation:

n-10+9n-3 step by step​

Answers

Answer:

10n−13

Step-by-step explanation:

Let's simplify step-by-step.

n−10+9n−3

=n+−10+9n+−3

Combine Like Terms:

=n+−10+9n+−3

=(n+9n)+(−10+−3)

=10n+−13

What is the volume of the rectangular prism below? Use the formula V = lwh. 4 ft 4 ft 8 ft​

Answers

Answer:

V=128

Step-by-step explanation:

Answer:

V =128ft^3

Step-by-step explanation:

V=lwh=4*4*8=128

Draw the graph of the equation
g(x) = -3x +2.
You can refer to the section "Drawing Graphs in Mobius" in the unit "Introduction to
Mobius" for
practice in drawing graphs of lines in Mobius.
Part a: Find one point on the line. Often it's smart to start with the value x = 0 because multiplying by
and adding 0 are easy. In other words, find the y-intercept.
The point (0, Number ) is on the line g(x) = -3x + 2.
Part b: Find a second point on the line. Often it's easier to continue with the value x = 1 as multiplying
by and adding 1 are pretty easy.
The point (1, Number ) is on the line g(x) = -3x +2.

Answers

Use DESMOS to graph any function online.

The picture shows the graph of g(x) = -3x + 2.

juan drove 126 miles in 3 hours. If he continued at the same rate, how long would it take to travel 336 miles? ​

Answers

Answer:

8 hours

Step-by-step explanation:

First you divide 126 by 3 to get the Miles Per Hour, you should get 42 Miles Per Hour, then, just divide 336 by 42 to get the numbers of hours he will have to drive, (which is 8)

Answer:

8 hours

Step-by-step explanation:

126 miles - 3 hours

336 miles - x hours

Cross multiply

126x = 336 x 3

126x = 1008

Divide both sides by 126

x = 1008/126

x = 8

A river guide buys protein bars and bottles of water for participants on a rafting trip. Including taxes, the river guide pays $ 2.50 for each protein bar and $ 1.25 for each bottle of water, spending a total of exactly $ 22.50 . Which combinations of protein bars and bottles of water are possible for the given amounts? Select ALL that apply.

Answers

Answer:

Step-by-step explanation:

2.50   for water

1.25     for protein bar   interesting that is exactly half of the water

22.50   exactly was spent

I couldn't come up a slick equation, so I just applied some logic and used brute forced (trail and error) to solve the problem.

2.5Water + 1.25Protein =   22.5  

      8W     +           2P    =   22.5

      6W     +           6P    =   22.5

      4W     +          10P    =   22.5

      2W     +          14P    =   22.5

There are the possible combinations of both protein bars AND water, since he bought both.  He could have also bought 10 water or 18 protein bars, but that is not part of the combination.

what is 3/12 as a precent

Answers

Answer: 25%

Step-by-step explanation:

Answer:

25% As a decimal its 0.25

Step-by-step explanation:

A local frame shop charges $5 per foot for the wood to make a frame. You want to have an 8 inch by 10 inch picture frame. How much will it cost?

Answers

Answer:15$

Step-by-step explanation:

Plz show your work.

Answers

A ....................

!!please help me questions is at the bottom!!!

Answers

The cylinder is 11 cubic meters greater than the volume of the cone.

The probability Bob guesses the winner of a certain baseball game is 4/5. The probability Joe independently guesses the winner of another game is 1/3. What is the probability that exactly one of them selects the winner? (Fraction answer)

Answers

SANA ALL SMART HAHAHAHHAAHHAHAAHA

Subtract 11/14-2/7?Make sure your answer is fully reduced.​

Answers

Answer:

1/2

Step-by-step explanation:

turn 2/7 into 4/14 then subtract that from 11/14 and you get 7/14 and the also can go as 1/2

help me pls theheheh

Answers

Answer:

108 schools

Step-by-step explanation:


1,000 cm = 0.01 km
Correct or incorrect

Answers

Answer:

Correct

Step-by-step explanation:

Answer:

Correct

Step-by-step explanation:

Hope this helps

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