Write an equation of a parabola in standard form that has a vertex of (-3,-4) and passes through (1,4)

Answers

Answer 1

As we know vertex -

[tex]y=a(x+3)^2-4[/tex]

Passes through (1,4). Substitute x = 1 and y = 4

[tex]4=a(1+3)^2-4\\4=a(4)^2-4\\4=16a-4\\4+4=16a\\16a=8\\a=\frac{8}{16}\\a=\frac{1}{2}[/tex]

Therefore the vertex equation is [tex]y=\frac{1}{2}(x+3)^2-4[/tex]

Since you want the "standard" form then..

[tex]y=\frac{1}{2}(x^2+6x+1)\\y=\frac{1}{2}x^2+3x+\frac{1}{2}[/tex]

So the standard form is 1/2x^2 + 3x + 1/2


Related Questions

PLEASE HELP! I WILL MARK BRAINLIEST!!!

What are the essential elements of an independent clause?

a subject and a complete thought
a subject, a verb, and a complete thought
a verb and a complete thought
a complete thought

Answers

Step-by-step explanation:

A subject, a verb, and a complete thought

Answer: A subject, a verb, and a complete thought.

Step-by-step explanation:

                    Independent clauses have three components:

They have a subject - they tell the reader what the sentence is about.They have an action or predicate - they tell the reader what the subject is doing.They express a complete thought - something happened or was said.

I need some help with this problem plz help ?

Answers

The answer to the question is 8
i thinkkkkkkk it’s 8

What is happening in the graph shown below?

Answers

Answer:

A the awsers a

Step-by-step explanation:

as time goes by the obeject slows down due to fruction

Answer:

C

Step-by-step explanation:

the answer is C because this is a Distance/Time graph. The speed is not changing here, the distance is decreasing as we move, which means we're moving towards the point of origin

PLS HELP DO NOT JUST PUT A RANDOM ANSWER PLEASE 15 POINTS!!!

Answers

Answer:

Step-by-step explanation:

Where's the question?

But if the question is to represent the equation on the graph then

Just fix in any random value for x,say x=3...then insert into into your equation y=3/2x-1 y=3/2(3)-1 y will be 3.5 when x is 3 so you get a coordinate like(3,3.5) repeat that for about three more values then plot a line

HOPE THIS HELPS

Question Help
Peter is typing an essay for his history class. The essay needs to be 7.700 words long. Peter can type 30 words per minute. If Peter has 500 words typed so far, how many hours will it take for Peter to finish typing the
essay?
It will take Peter _ hours to finish typing the essay.
(Type a whole number.)


PLEASE HELP PLEASE I AM DESPERATE I WILL MARK BRAINLIEST

Answers

Answer:

5.555

Step-by-step explanation:

go follow my insta (emily.handley)
im so close to 21k!! if you want you can :) i'm following back some people <3

Answers

ummmm if i follow will u follow me back

The sum of 4 consecutive integers is 50. What is the greatest of these integers?

Answers

Answer:

The greatest of the four integers is 14.

Step-by-step explanation:

Let x be the first integer.

x + (x + 1) + (x + 2) + (x + 3) = 50

4x + 6 = 50

4x = 44

x = 11

11 + 12 + 13 + 14 = 50

A math quiz has 10 questions and is scored out of 100. Each question is worth the same. The function S(q) represents the quiz score, S, in terms of the number of correctly answered questions, q.
Determine whether each statement below is true or false. Select True or False for each statement​

Answers

Statements are;

1) S(q) represents a quantity that changes at a constant rate per unit interval.

2) S(q) represents a quantity that changes at a constant percent rate per unit interval

3) S(q) represents a linear function

4) S(q) represents an exponential function.

Answer:

Statements 1 & 3 are true while statements 2 & 4 are false

Step-by-step explanation:

We are told that S(q) is a function that represents the quiz score, S, in terms of the number of correctly answered questions, q.

Statement 1 is true because the quiz score(S(q)) changes at a constant rate per unit questions answered since the math quiz has 10 questions and is scored out of 100

Statement 2 is false because S(q) is not expressed as a percentage rate.

Statement 3 is correct because S(q) function is a straight linear functional relationship where it directly depends on the number of correctly answered questions(q)

Statement 4 is false because the relationship is not expressed in exponential form but as a direct linear relationship.

The function S(q) is an illustration of a linear function.

The true statements are:

a) S(q) represents a quantity that changes at a constant rate per unit interval. c) S(q) represents a linear function

The false statements are:

b) S(q) represents a quantity that changes at a constant percent rate per unit interval d) S(q) represents an exponential function.

From the question, we understand that:

S(q) represents the quiz score in terms of the number of correct answers

This means that:

As the correct answers increases or decreases, the value of s(q) changes at a constant interval

Functions that have such behavior are linear functions because they change at a constant rate

Hence, (a) and (c) are true, while (b) and (d) are false.

Read more about linear functions at:

https://brainly.com/question/21107621

Given the diagram below, find X. The diagram IS
40°
x - 15°
X =
degrees.

Answers

Answer:

X=65°

Step-by-step explanation:

Both angles combined is a right angle as indicated by the small square drawn on it, a right angle is always 90° therefore

(x-15°)+40°=90°

combine like terms

x+25°=90°

subtract 25° from each side

x=65°

I need help trying to find the answer to -4(x-1)=-3x+31​

Answers

Answer:

x=27

Step-by-step explanation:

-4x+4=-3x+31

4=x+31

27=x

Answer:

x=-27

-4x+4=-3x+31

-x=27

x=-27

The base of 3^8 is 3

•true
•false

Answers

Answer:

true

Step-by-step explanation:

Answer:

Step-by-step explanation:

True

3 is the base and ^8 is the power or exponent.

Which is the best estimate for the height of the candle after 1 hour?
A. 4 cm
B. 5 cm
C. 8 cm
D. 9 cm​

Answers

Answer:

about 5.5

Step-by-step explanation:

so 5cm. Just trust me i dont know how to explain but i know its right.

Answer:

C.8cm

Step-by-step explanation:

i took the test its correct

Solve 3x^2 = 6x by rewriting the equation. Show your reasoning.

Answers

Answer:

Step-by-step explanation:

3x^2=6 Bring the 6 over to the left and set equation to 0

3x^2-6=0

Using the quadratic formula the answer is

x=±√2   decimal is 1.41421356 and -1.41421356

Solution of the given equation [tex]3x^{2}=6x[/tex] is x=2 and 0

What is an equation?

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given,

[tex]3x^{2} =6x[/tex]

Rewrite the equation

[tex]3x^{2} -6x=0[/tex]

Solve the equation

[tex]3x^{2} -6x=0\\3(x^{2} -2x)=0\\x^{2} -2x=0[/tex]

Therefore the roots are

x=2 and 0

Hence, solution of the given equation [tex]3x^{2} =6x[/tex] is x= 2 and 0

Learn more about equation here

https://brainly.com/question/10413253

#SPJ2

Mr.Dotson cherry tree grew 12 inches in 3/4 of a year. At that rate, how much would it grow in 1 year?

Answers

Answer:

16 inches

Step-by-step explanation:

12 divided by 3 is 4

4 inches for 1/4 of the year

4 x 4 = 16 inches

Katie runs 5 laps arround the park in 8 minutes.how many laps her minute is that

Answers

Answer:

1.6 mins

Step-by-step explanation:

8 divided by 5 = 1.6

Answer:

8÷5=1.6 answer is 1.6

Step-by-step explanation:

running each lap at 1.6 minutes

The lateral surface area of a cylinder is 288π square centimeters. The height of the cylinder is 16 centimeters. What is the diameter of the cylinder in centimeters?

Answers

Answer:

18 cm

Step-by-step explanation:

The formula for the lateral surface area of a cylinder is

=>2πrh

In the question:

The lateral surface area of a cylinder is 288π square centimeters.

The height of the cylinder is 16 centimeters.

Hence:

288π => 2πrh

288π => 2 × π × r × 16

288π => 32πr

r => 288π/32π

r => 9 cm

The formula of Diameter is 2 × radius

= 2 × 9 cm

Diameter =>18 cm

The diameter of the cylinder in centimeters is 18 cm

write cp and sp i bought a suit rs 5750.00 and sold it at rs 5890.00?​

Answers

CP = Rs 5750.00

SP = Rs. 5890.00

[tex]\rm \blue{\: mark \: brainleist \: }[/tex]

8. Give an example of a rational number that is NOT an integer.





9. Give an example of an integer and prove how you know it is a rational number.

Answers

Answer:

2.37 its a rational number because its a decimal

8. -5/3 is an example of a rational number that is NOT an integer.

9. For example a number like -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

write an equation in slope intercept form of the line shown that passes through (6,-1) and (3,-7)

Answers

Answer:

y=2x-13

Step-by-step explanation:

:)

Help please!!! Idk the answer.. If anyone knows please help me I will mark as the BRAINLIEST.​

Answers

The height will be 50.

To calculate area, you must know the base and height.

Since it’s already given to you, you must calculate it. Well... what times 1 gives me 50?

1x50=50

If W(-10, 4), X(-3, -1), and Y(-5, 11) classify ΔWXY by its sides. Show all work to justify your answer.

Answers

Given:

The vertices of ΔWXY are W(-10, 4), X(-3, -1), and Y(-5, 11).

To find:

Which type of triangle is ΔWXY by its sides.

Solution:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using distance formula, we get

[tex]WX=\sqrt{(-3-(-10))^2+(-1-4)^2}[/tex]

[tex]WX=\sqrt{(-3+10)^2+(-5)^2}[/tex]

[tex]WX=\sqrt{(7)^2+(-5)^2}[/tex]

[tex]WX=\sqrt49+25}[/tex]

[tex]WX=\sqrt{74}[/tex]

Similarly,

[tex]XY=\sqrt{\left(-5-\left(-3\right)\right)^2+\left(11-\left(-1\right)\right)^2}=2\sqrt{37}[/tex]

[tex]WY=\sqrt{\left(-5-\left(-10\right)\right)^2+\left(11-4\right)^2}=\sqrt{74}[/tex]

Now,

[tex]WX=WY[/tex]

So, triangle is an isosceles triangles.

and,

[tex]WX^2+WY^2=(\sqrt{74})^2+(\sqrt{74})^2[/tex]

[tex]WX^2+WY^2=74+74[/tex]

[tex]WX^2+WY^2=148[/tex]

[tex]WX^2+WY^2=(2\sqrt{37})^2[/tex]

[tex]WX^2+WY^2=WY^2[/tex]

So, triangle is right angled triangle.

Therefore, the ΔWXY is an isosceles right angle triangle.

Find the missing side. Round to the nearest tenth.

A. 13.3
B. 11.3
C. 16.8
D. 27.1

Answers

Answer:

A. 13.3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Trigonometry

tan∅ = opposite over adjacent

Step-by-step explanation:

Step 1: Set up equation

tan55° = 19/x

Step 2: Solve for x

Multiply x on both sides:                    xtan55° = 19Divide tan55° on both sides:             x = 19/tan55°Evaluate:                                             x = 13.3039Round:                                                x ≈ 13.3

And we have our final answer!

Answer:

13.3

Step-by-step explanation:

This is trigonometry

So for this one, we use a basic ratio. We need to use 19 and 55 degrees for the answer. We are given that the leg adjacent to the 55-degree angle is x and the opposite leg to the 55-degree angle is 19.

So we use tangent(opposite leg/adjacent leg) for this (TOA of SOH CAH TOA)

tan(55 degrees)=19/x

  SO then solve for x and then evaluate using a scientific calculator and you should get 13.30394322

      13.3

john has 350 which is 50 more than sally has, how much does sally have?

Answers

Answer:

sally has 400.

Step-by-step explanation:

because if u add 350 and 50 it equals 400

Answer:

300

Step-by-step explanation:

john= 350

sally=350-50

=300

Please help me with this question...please

Answers

Answer:phone A

Step-by-step explanation:

phone A is the cheapest

I need help with this

Answers

Answer:

no solutions

Step-by-step explanation:

3x+ 7(x+1) = 2(6x+5) -2x

Distribute

3x+7x+7 = 12x+10-2x

Combine like terms

10x+7 = 10x+10

Subtract 10 from each side

10x+7-10x = 10x+10-10x

7 = 10

This is not a true statement so there are no solutions

Which linear inequality is represented by the graph?

Answers

Answer:

your photo is not clear

Answer:

The answer is A

To find out the answer, substitute 0 into x and find the value of y. If the value of y is same wlike in the graph, then the equation is correct.

Thank you and please rate me as brainliest as it will help me to level up

HELP please.
Pentagon QRSTU is dilated to form pentagon Q'R'S'T'U' .

If Q is located at (-2, 1) , which of the following can be used to determine the location of R?

Please look at the picture below.... the answer choices are also there.

Answers

Answer:

C

Step-by-step explanation:

Here, originally, we are told that the point Q has coordinates (-2,1)

Now, its dilated point has the coordinates (-8,4)

what we can observe here is the the shape original polygon was dilated by a factor of 4 to give the image

Now the point R’ is (0,8)

To get the point R , we simply divide each coordinate by 4

Thus, we have (0/4 , 8/4)

This is same as option C

[tex]\frac{\sqrt{5} -2}{\sqrt{5} +2}[/tex] YALLLLLLL HELP PLEASEEEEE W EXPLANATION ILL GIVE BRAINLIEST

Answers

your welcome !!!!! that’s the answer

Answer:

Step-by-step explanation:

find the volume of the cone with radius 35dm and slant height 37dm

Answers

Answer:

Volume of cone is: 47464.23 dm³

Step-by-step explanation:

We are given:

Radius of cone r = 35 dm

Slant Height of cone h = 37 dm

We need to find Volume of the cone.

The formula used to find Volume is: [tex]Volume=\pi r^2\frac{h}{3}[/tex]

Putting values and finding volume:

[tex]Volume=\pi r^2\frac{h}{3}\\Volume=3.14*(35)^2 *\frac{37}{3}\\Volume=47464.23\ dm^3[/tex]

So, volume of cone is: 47464.23 dm³

I added pics cause it’s 2 in the morning.. I’m having back pain, thigh pain, cramps EVERYWHERE.. headache and just finished babysitting my baby brother.. help a gurl out please ( yes I have been copying and pasting)

Answers

Answer:

Conner's work is correct

Step-by-step explanation:

Operations With Exponents

We need to use the rule to find the product of two or more exponential expressions:

[tex]x^m\cdot x^n\cdot x^p = x^{m+n+p}[/tex]

We need to multiply:

[tex](3^5 6^8)(3^9 6^{10})[/tex]

Base 3 is treated independently from base 6, so we have two groups of operations:

[tex](3^5 6^8)(3^9 6^{10})=3^{5+9} 6^{8+10}[/tex]

Adding the exponents:

[tex](3^5 6^8)(3^9 6^{10})=3^{14} 6^{18}[/tex]

Thus, Conner's work is correct

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