Write an equation (any form) for the quadratic graphed below:

Write An Equation (any Form) For The Quadratic Graphed Below:

Answers

Answer 1

Vertex is (2,3), so that gives us:

    y=a(x-2)^2+3

Now the graph goes through (0,1), so plug that in to find a:

    1 = a(0-2)^2+3

  -2 = a(-2)^2

  -2 = a•4

 -1/2 = a

So, y = -1/2 (x-2)^2 + 3

   

Answer 2

Answer:

y = - ½(x - 2)² + 3

Step-by-step explanation:

Given the vetex, (2, 3), as the maximum point on the graph, along with the y-intercept, (0, 1):

We can substitute these values into the given vertex form of the quadratic equation:

y = a(x - h)² + k

where:

a = determines whether the graph opens up or down, and makes the parent function wider or narrower. If a is positive, the graph opens up; if a is negative, the graph opens down. If 0 < a < 1, the graph is wider than the parent function. If a > 1, the graph is narrower than the parent function.(h, k ) = vertexh = determines how far left or right the parent function is translated.k = determines how far up or down the parent function is translated.

Use vertex = (2, 3) and y-intercept (0, 1) to solve for "a":

y = a(x - h)² + k

1 = a(0 - 2)² + 3

1 = a(-2)² + 3

1 = a(4) + 3

Subtract 3 from both sides:

1 - 3 = a(4) + 3 - 3

-2 = 4a

Divide both sides by 4 to solve for a:

-2/4 = 4a/4

- ½ = a

Therefore, the value of a = - ½. This means that the graph opens downward, and that the parabola is wider than the parent function.

The quadratic equation in vertex form given a = - ½, and vertex (2, 3) is:  

y = - ½(x - 2)² + 3

Please mark my answers as the Brainliest if you find this explanation helpful :)


Related Questions

One number exceeds another by 6 and their sum is 16. Find the two numbers.

Answers

Answer:

answer is 11 or 5

Step-by-step explanation:

x+y=16 ------ 1

x-y= 6 ------ 2

______

2x = 22

x =22/2 =11

put the value of x on equation 1

x+y =16

11+y =16

y =16-11 =5

I NEED A 100% ACCURATE ANSWER FOR THIS QUESTION ASAP NO LINKS !!!

Answers

Answer:

infinitely many solution

Step-by-step explanation:

Answer:

Any value of x makes the equation true.

All real number

Interval Notation:

(−∞,∞) So it's Infinitely many solutions.

- 3 7/9 - 1 2/9
What is this answer

Answers

Answer:

-5

Step-by-step explanation:

(-3 7/9) - 1 2/9 = -5

Hope this helps :)

Pls make brainliest :3

And have an amazing day <3

Answer:

-5

Step-by-step explanation:

Since the signs are alike, we add and then take the sign

-(3  7/9 + 1 2/9)

-(4 9/9)

-(5)

PLEASE SOME ANSWER QUICKLY!!!!

Answers

×2 multiple with 2

D

enjoy me hard work

The answer is D multiple 2

An aquarium is creating a display of a shark that has 100 teeth in each row. The aquarium can buy shark teeth for $10 each. How much will the aquarium spend on shark teeth to create the model?

Answers

Answer:10,000

Step-by-step explanation:10x100=1000

I am kindly a lost help

Answers

Answer:

First of all this is a negetive slope so it goes down and its y-intersect is -4

and it is a slope of -8/6 or -1 2/3

So the slope is

-8/6-4

Hope This Helps!!!

There’s the answer thank me later!!

Find the distance between the points.
(-1, 1), (3, -2)

Answers

Answer:

Distance = 5

Step-by-step explanation:

√[(x₂ - x₁)² + (y₂ - y₁)²]

√[(3 - (-1))² + (-2 - 1)²]

√[4² + -3²]

√[16 + 9]

√25

5

Eduardo had some
bubble tape. He gave 5
⅙ feet to his friends and
now he has 2 ¼ feet left.
How much bubble tape
did Eduardo start with?

first correct answer gets brainlist

Answers

Answer:

7 5/12 feet of tape

Step-by-step explanation:

Find the LCM and add the fractions in this case is 12

4n > with the line under it 20. Plot on number line

Answers

Answer:

5

Step-by-step explanation:

divide 4 by both numbers

(b) If you have budgeted $20 for a cab ride to tour the downtown area, how far can you go? Set up and solve an equation.
Round your answer to two decimal places.
If you have budgeted $20 for a cab ride to tour the downtown area, you can go miles.

Answers

Answer:

15 miles

Step-by-step explanation:

River Fun Boats rents paddle boats. The euqation C = 0.10t + 4 gives the charge in dollars, C, for renting a paddle boat for t minutes. A customer paid $9.00 for their rental. How lond did the customer use a paddle boat?

Answers

Answer:

Step-by-step explanation:

9 = 0.10t + 4

5 = 0.10t

t = 50 minutes

Divide the difference between 1,000 and 200 by 4

Answers

Answer:

200

Step-by-step explanation:

1,000-200=800

800/4=200

Answer:3200

Step-by-step explanation:

1000 subtracted by 200 =800

multiply 800 by 4 =3200

Kennedy is making dessert for Thanksgiving.
She decides to make thirteen pumpkin pies. To
make each of the 13 pies she is baking she will
need 12 cups of pumpkin, 4 cups of sugar, and
1 cup of milk. How many cups of pumpkin will
Kennedy need to make all her pies?

Answers

Answer:

156 cups

Step-by-step explanation:

The most important info in this problem are for every 1 pie, she needs 12 cups of pumpkin. So do 13 pies x 12 cups = 156 cups of pumpkin.

what is z in -5/2 = 3/4z + 1/2? please also explain the steps i’m really confused

Answers

-5/2= 3/4z + 1/2
Subtract 1/2 to both sides of the equal sign
-6/2=3/4z
Now to get Z By itself we will do inverse property and multiply both sides of the equal sign by 4/3
Z=-4

If the graph of equation 2x+ky=10k, intersect x-axis at point (5,0).Find the value of K

Answers

Answer:

K= 1

Step-by-step explanation:

The line of AOB intersects the graph at the x-axis at point (5,0)

(5,0)=(x,y)| (x=5, y=0)

Soooo...

2x+ky=10k2(5)+k*0=10k10=10kk=10/10k=1

Hey can anyone help with this problem pls and ty !

Answers

Step-by-step explanation:

(x + 20)º and (4x - 5)º are supplementary angles, meaning the sum of their angles = 180º.

(x + 20) + (4x - 5) = 180

5x + 20 - 5 = 180

5x + 15 = 180

5x = 165

165/5 = 33

Answer: x = 33

Please help me do it

Answers

Step-by-step Explanation:

We are going to solve this problem using integration by parts. We can write the integrand as

[tex]\dfrac{4x}{x^2+4x+3} = \dfrac{4x}{(x+3)(x+1)}[/tex]

[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:= \dfrac{A}{x+3} + \dfrac{B}{x+1}[/tex]

[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:= \dfrac{Ax + A + Bx + 3B}{x^2+4x+3}[/tex]

[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:=\dfrac{(A+B)x + (A+3B)}{x^2+4x+3}[/tex]

Comparing the above term to the left hand side, we can see that

(A + B)x = 4x

A + 3B = 0

Solving for A and B, we find that A = 6 and B = -2 so our integrand becomes

[tex]\dfrac{4x}{x^2+4x+3} = \dfrac{6}{x+3} - \dfrac{2}{x+1}[/tex]

We can now easily integrate this expression as follows:

[tex]\displaystyle \int{\dfrac{4x}{x^2+4x+3}}dx = 6\int{\dfrac{dx}{x+3}} - 2\int{\dfrac{dx}{x+1}}[/tex]

[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:= 6\ln|x+3| - 2\ln|x+1| + C[/tex]

Can someone help me solve this

Answers

Answer:

Constant of proportionality = 1/3

y = 1/3a

Step-by-step explanation:

Constant of proportionality: k = y/x

k = 1/3

k = 4/12 = 1/3

Help me with this lol

Answers

Answer:

13

Step-by-step explanation:

5+3+5=13

Find the unit price of the pens and round to the nearest tenth if necessary

Answers

Answer:

The answer is .21

Step-by-step explanation:

$3.15÷15=.22

What is the x value such that y =15 - 3x and y = 0?

Answers

Substitute y = 0
0 = 15 - 3x

Subtract 15 from both sides
0 - 15 = -3x

Simplify
-15 = -3x

The negatives cancel out:
15 = 3x

Divide by 3 on both sides
5 = x

Anyone help me please?

Answers

For the first one false false and the second on is true true

Each rhombus has four right angles-False

Each square has four right angles-True

50×54+23-44+66 Simplification no spam steps must​

Answers

Answer:

=2745

Step-by-step explanation:

=2700+23−44+66

=2723−44+66

=2679+66

=2745

Ariadne jogs at an average speed of 8 km/h. How far does she travel in 1½ hours?

Answers

Answer:

12km

Step-by-step explanation:

1 hour = 8 half hour = 4

8+4=12

3. What is the hypothesis of the following conditional statement?
Conditional Statement: If two angles form a right angle,
then they are complementary.

Two angles form a right angle.

They are complementary.

If two angles are complementary, then they form a right angle.

The angles are adjacent.

Answers

Answer:

A: Two angles form a right angle.

Step-by-step explanation:

took the test

Answer:

Two angles form a right angle.

Step-by-step explanation:

The first part of the statement, the condition that must be met, is the hypothesis.

Find the distance between the two numbers on the number line, -4 7/12 and -3 1/6.

Answers

Answer:

1 1/2

Step-by-step explanation:

I need helpp plz I will mark brainliest and i will follow but plz help me​

Answers

Answer:

up 5 and 1.5 and -6 and 6 (if im not mistaking)

Step-by-step explanation

PLS HELP REAL ANSWERS ONLY

Answers

Answer:

(0;2), maximum

Step-by-step explanation:

Factor the expression using the common factor −4 .

−12x+2.4y−48

Drag a value or operation/sign to the boxes to correctly factor the linear expression.

Answers

Answer:

-4( 3x - 0.6y + 12)

Step-by-step explanation:

The expression - 12x + 2.4y - 48 taken a common factor of - 4 we have

- 4(3x - 2y + 12).

What is a factor of a polynomial?

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

The common factor on the other hand is the highest possible value that we can divide each of the given terms.

Given, - 12x + 2.4y - 48.

- 12x + 8y - 48.

Taking - 4 as the common factor we'll have

- 4(3x - 2y + 12).

learn more about common factors here :

https://brainly.com/question/11221202

#SPJ2

I dont know.. Please anwser this

Answers

If k and l are parralel, that means if you move them to each other, or shift k, you will get the same angle as ABC. Thus, it's still going to be 19 degrees.

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