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Write the equation of the parabola in vertex form.

vertex (0,3), point (1, - 4)

f(x) =

(Simplify your answer.)

Answers

Answer 1

Answer:

Equation of the parabola: y = 3 - 7x^2

Step-by-step explanation:

The equation of the parabola with vertex (h,k) is y = a(x - h)^2 + k

Thus, the equation of this parabola is  y = ax^2+3

To find a, use the fact that the parabola passes through the point (1,−4):

-4 = a(1)^2 +3

Solving this equation, we get that a = −7.

Thus, the equation of the parabola is y = 3 − 7x^2.


Related Questions

Selesaikan persamaan linear serentak berikut.
2x + y = -5
3x - 4y = 9

Answers

Answer:

(-1;-3)

Step-by-step explanation:

[tex]\left \{ {{4(2x+y)=4*(-5)} \atop {3x-4y=9}} \right. \ => \ \left \{ {{8x+4y=-20} \atop {3x-4y=9}} \right. \ => \ \left \{ {{11x=-11} \atop {2x+y=-5}} \right. \ => \ \left \{ {{x=-1} \atop {y=-3}} \right.[/tex]

simplify (3 ^-2)^4
This would help so much, i have to finish this 200 point exam by tonight. THANK YOU IF YOU HELP

Answers

Answer:

Simplify the expression.

Exact Form:

1/6561

Decimal Form:

0.00015241

Step-by-step explanation:

1/6561

Answer:

1/6561

Step-by-step explanation:

(3^-2)^4

multiply the exponents:-8

3^-8

then make the 3 a fraction to remove the negative 1/3^8 then multiply 1/3, 8times so the answer is 1/6561

What is the smallest number greater than 1 that leaves a remainder 1 when divided by each of 2, 3, and 4?
PLS SHOW WORK

Answers

Answer:

YOOOO I LOVE YOUR PROFILE PICTURE. SILENT VOICE IS SO SAD BUT SO GOOD <3 :D

Which of the following is equivalent to –(4 + (–7))?
–4 + 7

–4 + (–7)

4 + (–7)

–4 – (–7)

Answers

Answer:

-4+7, -4 - (-7)

Step-by-step explanation:

The given expression can be simplified:

-(4+(-7)) = -(4-7) = -(-3) = 3

The equivalent choices will all equal 3. Testing each choice:

-4+7 = 3

-4+(-7) = -4-7 = -11

4+(-7) = 4 - 7 = -3

-4 - (-7) = -4 + 7 = 3

Only the first and last choice are equivalent to the original expression.

41/10 ÷ 7/10 please ​

Answers

The answer is

[tex]5\frac{6}{7}[/tex]

Answer:

5.857

or

5 6/7

Step-by-step explanation: both are the same just one in decimal and the other is in fraction form

Please help, i’m very confused. Thanks

Answers

Answer:

can't help sorry try chrome plz I hope it help you good

Find the measure of the angles(S)

Please help

Answers

Answer:

10°

Step-by-step explanation:

the sum of interior angles of triangle is 180°

so. 8x+x+90°=180°

9x=90°

x=10°

An athlete of mass 60 kg running at a velocity of 10 m/s

Answers

Answer:600kgms-1

Step-by-step explanation:

mass *velocity

60*10 =600

which of these numbers has both 2 and 5 as factors? A. 205 B. 502 C. 250 D. 202​

Answers

Answer:

10=20. divisible by 2 (2,5 = 10) both of the factor are prime

Step-by-step explanation:

BIG BRAIN

What is this answer?

Answers

Answer:

multiply

Step-by-step explanation:

just multiply all of them and then u will get your answer I hope this helped ❤

Please help I will make you Brainliest (show working)​

Answers

Answer:

id kkkkkkkkk

Step-by-step explanation:

Skate World offers birthday parties for a fee of $130 plus $3 per person. If you can spend no more than $190 on your party, what is the maximum number of people who can attend?
A) 20
B) 12
C) 14
D) 15

Answers

Answer:

a is the answer

Step-by-step explanation:

here

The answer is A.) 20

5
3
Which of the following has the same value as 7 - - 2-
6 6

Answers

Answer:

MY ANSWER IS 5 THANK YOU FOR QUESTION

Quadrilateral A’B’ C’ D ‘ is the result of reflecting quadrilateral ABCD across line l

Answers

Answer:

C

Step-by-step explanation:

Which of these is a healthy coping strategy for stress?

A
Writing your thoughts in a journal

B
Not sharing your emotions with anyone

C
Stopping your exercise routine

D
Working very hard without breaks

Answers

Answer:

A

writing your thoughts in journal

Factor the expression

Answers

Answer:

(2x+1)(x−2)(2x−5)

Step-by-step explanation:

(3x−6)(4x2−1)−(2x−4)(4x2+4x+1)

4x3−16x2+11x+10

=(2x+1)(x−2)(2x−5)

Make life easier and answer this please

Answers

Answer:

She has 8 grandchildren

Each grandchild gets 50 cents

Step-by-step explanation:

She has $8, split between 4 sons is $2 each.

Each son splits $2 between their 4 children

2 divided by 4 is 0.50

how to do estimate 81=25+8x​

Answers

Answer:

None

Step-by-step explanation:

It would be easier to ask your teacher instead of getting wrong answers from random people. Ever think of that :0

submarine titan descended 93 meters into the ocean to look for fish. Submarine Odyssey descended 3 times as deep. What is Odyssey's depth below sea level in meters?

Answers

Answer:

279 meters

Step-by-step explanation:

This is just some simple multiplication. 93*3=279

Submarine Odyssey's depth below sea level is 279 meters.

Given that two submarines titan and odyssey, titan descended 93 meters and odyssey descended 3 times as deep.

We need to find the depth of the submarine odyssey.

To find Odyssey's depth below sea level, we can start by determining the depth that Submarine Titan descended.

According to the given information, Submarine Titan descended 93 meters into the ocean to look for fish.

Now, we need to find the depth that Submarine Odyssey descended, which is three times as deep as Submarine Titan.

We can calculate this by multiplying the depth of Submarine Titan (93 meters) by 3:

Depth of Submarine Odyssey = 93 meters x 3 = 279 meters

Therefore, Submarine Odyssey's depth below sea level is 279 meters.

Learn more about multiplication click;

https://brainly.com/question/16334081

#SPJ2

The temperature dropped 4°C every hour for 6 hours. What was the total number of degrees the temperature changed in the 6 hours?

Answers

Answer:

-24 degrees Celsius

Step-by-step explanation:

6 x -4 = -24

Answer:

24 degrees.

Step-by-step explanation:

6 * 4 = 24.

please help I dont understand ​

Answers

Answer:

Step-by-step explanation:

Find the slope between (9 , 75) and (13 , 95)

First person to answer will be marked brainliest

Answers

Answer:

b is the answer ........

Match the vocabulary word with the correct definition.
1. rectangular solid
A:A segment whose endpoints are vertices not in the same face.
2. faces
B:A solid figure whose faces are all rectangles.
3. diagonal of a rectangular solid
C:The sides of a solid figure.

Answers

1-C 2B 3A correct response

Answer:1-C 2B 3A

Step-by-step explanation:

What is one-half of one-third of three-quarters of 720?

Answers

Answer:

90

Step-by-step explanation:

3/4 of 720 is 540. 1/3 of 540 is 180. 1/2 of 180 is 90.

Answer:

90

Step-by-step explanation:

Three quarters of 720 is 540

One third of 540 is 180 and

One half of 180 is 90

So the answer is 90

which fact helps you prove the isosceles triangle theorem, which states that the base angles of any isosceles triangle have equal measure?

Answers

It’s d there you go and your welcome (^_^)v

Answer:

If one angle of a triangle is larger then another angle, then the side opposite then the larger angle is longer then the side oposite to the smaller angle

Step-by-step explanation:

Simplify the expression to a + bi form:
(4 – 3i) - (9 - 71)

Answers

Answer:

66-3i

Step-by-step explanation:

(4-3i)-(9-71)

(4-3i)-(-62)

(4-3i)-62

66-3i

Edward has a hot dog stand. Last week he spent $13 for hot dogs and
supplies. He earned $25. What was his profit? answer:

Answers

his profit is $12
25-13=12

Which expression is equivalent to -p+2 -2p+ 8?

Answers

Answer:

- 3p + 10

Step-by-step explanation:

- p + 2 - 2p + 8 ← collect like terms

= (- p - 2p) + (2 + 8)

= - 3p + 10

twenty four less than two times a number x.. pls help.

Answers

Answer:

24-2x

Step-by-step explanation:

Answer:

The equation is written as follows:

2x-24    

что 900 умножить на 1000000

Answers

Answer:

900,000,000

Step-by-step explanation:

900×1,000,000

=900,000,000

Надеюсь, это помогло тебе, хорошего дня)

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