Write the equation of the parabola graphed below given the y-intercept is (0, 1)

Brainliest gets 45 points so please help ASAP

Write The Equation Of The Parabola Graphed Below Given The Y-intercept Is (0, 1)Brainliest Gets 45 Points

Answers

Answer 1

Answer:

y = -3/8(x - 4)² + 7 or y = -3/8x² + 6x + 1

Step-by-step explanation:

We can see on the graph that the vertex is (4, 7) and the leading coefficient is negative as parabola opens down.

The vertex form is:

y = a(x - h)² + k, substitute coordinates to get,y = a(x - 4)² + 7

Considering the y-intercept is (0, 1), substitute values to find the value of a:

1 = a(0 - 4)² + 7a(4²) = 1 - 716a = -6a = -6/16a = -8/3

The function is:

y = -3/8(x - 4)² + 7

In standard form:

y = -3/8(x² - 16x + 16) + 7 = -3/8x² + 6x - 6 + 7 = -3/8x² + 6x + 1

Related Questions

One-third of a number decreased by six equals eight. What is the number?
6

Answers

Answer:

The number is 42.

Need help as fast as possible please
I will mark BRAINLIST only for correct answers :)
Thank you!

Answers

Answer:

Correct Answer

Step-by-step explanation:

Mark as brainliest now NOW!

A trampoline has a jumping surface that is 15.7 ft. long and 12 ft. wide. What is the area of the jumping surface?

Answers

Answer:

188.4

Step-by-step explanation:

because if you multiply 15.7 and 12 you get 188.4 and that is the area of the jumping space.

Answer:

area = length×wide=15.7×12=188.4ft²

What are the two ways that we discussed in class that can be used to determine if two expressions are equivalent?

Answers

A debate I’m assuming?

need help please somebody

Answers

Answer:

Sorry I’m in a hurry but all you need to do is multiply all the numbers together.

Step-by-step explanation:

I did a problem like that i think

LMNP is rotated 180° clockwise around the origin.

Answers

Answer:

The correct answer is B

Step-by-step explanation:

-3,-4

Coordinates of M are (-3, -4) as LMNP rotates 180° clockwise.

What is clockwise rotation?

" Clockwise rotation means when any object is moving in the direction of hands of clock."

According to the question,

As per the diagram ,

Coordinates of M are ( 3, 4)

Rotation of a point through 180° about the origin when a point M( x, y) is rotated about the origin through 180° in anticlockwise or clockwise direction, it takes the new coordinates ( -x ,-y).

Therefore , coordinates of M are ( -3, -4).

Hence, coordinates of M are (-3, -4) as LMNP rotates 180° clockwise.

Learn more about clockwise rotation here

https://brainly.com/question/14701550

#SPJ2

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Complete the following proof.

Given: Two concentric circles with AB tangent to smaller circle at R



Prove: AR = RB

Answers

Step-by-step explanation:

The statements are

1.Draw Oa,Ob

2.OR is perpendicular to AB

3.OR is congruent to OR

4.OA is congruent to OB

5.Triangle AOR is congruent to BOR.

6.AR is congruent to AB.

The reasons are

1.Auxalaritly lines

2 Radius are perpendicular to tangent

3.Reflexitive

4.Radii of same circle are equal

5.HL theorem, (since we know hypotenuse and a leg)

6.CPCTC

How many terms are in the expression below?

3x3+4x+7

Answers

Answer:

3

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Whenever you are multiplying any numbers or dividing you count them as terms. Since you are multiplying two numbers there will be 2 terms you don't count them if you add.

Tell me if I'm wrong and please explain.

A car dealership buys a car for $12,500. They sell the car for $15,750. What is the percent markup?

Answers

Answer: 26%

Step-by-step explanation:

The formula to calculate the percentage markup is given as:

= Selling price - Cost / Cost price × 100

where selling price = $15750

Cost price = $12500

Percentage markup = ($15750 - $12500) / $12500 × 100

= $3250/$12500 × 100

= 26%

Answer: 26

Step-by-step explanation:

12,500 - 15,750= 3250

is -5(x+8) equal to -5x-40 pleaseeee i need helppp

Answers

Yes.
You get this by using the distributive property.

Answer:

yes

Step-by-step explanation:

The distributive property of multiplication over additions is:

a(b + c) = ab + ac

You multiply the number outside the parentheses, the a, by each of the numbers inside the parentheses, the b and the c. Then you add the products.

Now we can do it with your example.

-5(x + 8)

We multiply -5 by x and multiply -5 by 8. Then we add the products and simplify.

-5(x + 8) = -5 * x + (-5) * 8 = -5x + (-40) = -5x - 40

Answer: yes

an Olympic driver drives off a diving board that is 12 meters off the ground during his dive he touches the bottom of the pool which is 15 feet deep what is the distance from the diving board to the bottom of the pool

Answers

I’m assuming the distance is 27 feet

Please and thanks!!!

Answers

i can’t really see it

Find the slope of the line y=-6x-4. Type your answer as an integer.

Answers

Answer:

The slope is -6

Step-by-step explanation:

In the slope intercept form, it is y=mx+b, where m is the slope and b is the y-intercept

Therefore, -6 is slope and -4 is y-intercept

Henry decided he was going to give away his Pokemon cards. He divided them equally into 4 piles. Each person got 37 cards. How many cards did Henry have in the beginning?

pls help i need the answer and the equation

Answers

Answer:

37 x 4 = 148

148 cards

Step-by-step explanation:

Would really appreciate it if you could give me brainliest. Have a good day! :)

Answer:

37×4 = 148

Step-by-step explanation:

so your answer is 148

1) Evaluate 3+ (a + 4)(8 – b) when a
5 and b = 6

Answers

Answer:

21

Step-by-step explanation:

3+(5+4)(8-6)

3+(9)(2)

3+18=21

Answer:

The answer is 21

Step-by-step explanation:

3+(a+4)(8-b)

3+(5+4)(8-6)

3+9x2

3+18

21

Hope this helps

whatt does 5x + 9y =8 equals.

Answers

Answer:

x=8/5−9y/5

Y=8/9−5x/9

Step-by-step explanation:

Answer:

If ur solving for x, then x equals 8/5 - 9y/5

Step-by-step explanation:

Joanne bought 5 candy bars for $3.50. How much is each candy bar? pls help !!

Answers

Answer:

70 cents

Step-by-step explanation:

all you have to do is divide $3.50 and 5 :)

$0.70 or 70 cents
Explanation:
All you have to do is take $3.50 divided by 5. You’ll get 0.7.

When Mei solved the system of equations below, she got the
solution x = 4, y = 2. Without solving the system, yourself, can you
tell her whether this solution is correct?
4x + 3y = 22
x - 2y = 0
No
yes
Both

Answers

Answer:

yes

yes is answer of this equation

Answer:

answer is yes

Step-by-step explanation:

Peter scored 27 out of 50 in a test. What percent was that? *
-13.5%
-27%
-50%
-54%

Answers

Answer:

54% for sure please give me brainliest

Answer:

54%

Step-by-step explanation:

27/50 = 54/100 (multiply the full score untill it is at 100, the use the same number it took for that and multiply the points)

Determine the value of m∠DCB.

Answers

Answer:

Angle DCB is Equal to 78

Step-by-step explanation:

4x+2 + 3x+3 =180

7x +5=180

7x=175

x=25.

Then put the x in the 3x+3

3(25) +3 = 78

so  DCB = 78

the answer to this equation would be 78

PLS HELP!! GIVING BRAINLIST

Answers

Answer:

x=2

y=0

Step-by-step explanation:

8x - 4y = 16

solve for x

8x = 4y + 16

divide 8 by all terms

x = 2 + [tex]\frac{y}{2}[/tex]

Insert x in second equation

8(2+y/2)+4y=16

solve

y=0

x=2

I NEED HELP PLSSS

Given QUAD is a quadrilateral,
find the value of x.
If the answer is 14, move to J
If the answer is 30, move to L
If the answer is 23, move to K
If the answer is 21.4, move to M

Answers

Answer:

=>(4x+14)+(5x-1)+(4x-5)+(2x+7) = 360°

=>4x + 14 + 5x - 1 + 4x - 5 + 2x +7 = 360°

=>15x + 15° = 360°

=>15x = 360°- 15°

=>x = 345/15

=>x = 23

So move to K

y= x + 3

y= -1/2x - 3

plot 2 lines on the graph​

Answers

Answer:

y = x + 3 is the Green Line

y = -1/2x -3  is the Blue Line

Plz help me out xx tysm

Answers

Answer:

see explanation

Step-by-step explanation:

let the number be x , then

[tex]\frac{1}{2}[/tex] x = 44.3 ← is the equation

Answer:

x / 2 = 44.3

Hope that helps!

Step-by-step explanation:

HELPPPPP ME PLEASE!!!!!!!!

Answers

Answer: Median 38 / Mean 24.5

Step-by-step explanation:

The median is 38

and

The mean is 24.5

To find the median just find the number in the middle of an odd set

but if it happens to be an even number add the 2 middle numbers together and divide them by 2

To find the Mean add all of the numbers and divide them by the number of sets ( in this instance its 4 )

Help Asap if i can i will give brainliest

Answers

Answer:

10x+2y

8c+2

0

Step-by-step explanation:

Please help me it says What kind of triangle makes the Pythagorean theorem true?what angle does it need to have?

Answers

Answer:

right triangle

Step-by-step explanation:

The sides of a right triangle in a simple way, so that if the lengths of any two sides are known the length of the third side can be found.

hope it helps.

Consider the system of equations below.
4x – 8y = 12
11x + 7y = 33

Answers

Answer:

x = 3

y = 0

Step-by-step explanation:

x=3 and y=0 is your answer have a great rest of your day

The radius of a circle measures 12 centimeters.
What is the circumference of the circle?

Answers

Answer:

C=24π

Step-by-step explanation:

C=2πr

C=2π12

C=24π

≈75.39

Help I will be marking brainliest!!!!

A. 241 feet
B. 358 feet
C. 258 feet
D. 341 feet

Answers

Answer: A. 241 feet

Step-by-step explanation:

The figure shows two rectangular triangles.

These triangles are similar since they have two identical angles:

the first angle is 90 degrees;

the second angle is equal because the law of reflection states that the angle of incidence is equal to the angle of reflection.

The law of reflection states that the angle of incidence is equal to the angle of REFLECTION.

Let's make the proportion:

[tex]\dfrac{4}{273} =\dfrac{5}{x} \\\\x=\dfrac{273 \cdot 5}{4} =341.25 \: (feet)\\[/tex]

It takes a minimum of 100 feet for a parachute to open and safely land without injury, so:

341.25 - 100 = 241.25 (feet)

241.25 ≈ 241 (feet)

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