Write the equation of the parabola in vertex form.
vertex (4.1), point (3,-4)

Answers

Answer 1

Answer:

              [tex]\boxed{\bold{y=-5(x-4)^2+1}}[/tex]

Step-by-step explanation:

[tex]y=a(x-h)^2+k[/tex]    - vertex form of equation of a parabola where vertex is (h,k)

[tex]y=a(x-4)^2+1[/tex]  - vertex form of equation of a parabola where vertex is (4,1)

The parabola goes through point (3, -4) so if x=3 then y=-4

[tex]-4=a(3-4)^2+1\\\\-4-1=a(-1)^2+1-1\\\\-5=a\cdot1\\\\{}\ \ a=-5[/tex]

Therefore the equation of the parabola in vertex form with vertex (4,1), going through point (3,-4):

[tex]y=-5(x-4)^2+1[/tex]


Related Questions

Write in simplest form. 12/15 Divided by 4/9

Answers

Answer:

9/5

Step-by-step explanation:

12/15 / 4/9

12/15 * 9/4

108/60

54/30

27/15

9/5

David made an error when determining the product of (–2.5)(–8.3). Step 1: (–2.5)(–8.3) = (–8.3)(–2.5) Step 2: = (–8.3)(–2) + (–8.3)(–0.5) Step 3: = (–16.6) + (–4.15) Step 4: = –20.75 In which step did David make his first error? Step 1 Step 2 Step 3 Step 4

Answers

Answer:

Step 3.

Step-by-step explanation:

We need to tell the incorrect step in the given problem for the product of        (–2.5)(–8.3)

Step 1. (–2.5)(–8.3) = (–8.3)(–2.5)

Step 2:

We can write -2.5 = -(2+0.5)

(–8.3)(-(2+0.5)) = (–8.3)(-2)+(-8.3)(-0.5)

= 16.6 + 4.15

Step 3.

= 20.75

He has done an error in step 3. It should be 16.6 + 4.15 instead of (–16.6) + (–4.15). As a result, he get incorrect answer.

Answer:

it is step 3

Step-by-step explanation: i just took the test mark me brainliest lol :>

Kalon has $175 and needs to save at least $700 for a new computer. If he can save $35 per week, what is the minimum number of weeks Kalon will need to save to reach his goal?

Answers

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

good luck on your assignment

C. How can you tell by just looking at the coefficients of -2x2 and 2x2 that the terms will add to zero?

Answers

Answer:

-2x^2 + 2x^2 is equal to zero,  -2+2=0 the negative 2 cancels the positive 2

Step-by-step explanation:

Solve for v.
42 =3v- 15
Simplify your answer as much as possible.

Answers

Step-by-step explanation:

42=3v-15

We move all terms to the left:

42-(3v-15)=0

We get rid of parentheses

-3v+15+42=0

We add all the numbers together, and all the variables

-3v+57=0

We move all terms containing v to the left, all other terms to the right

-3v=-57

v=-57/-3

v=+19

Answer:

v= +19

Step-by-step explanation:

Which expression is NOT equivalent to 4 x 3/8

Answers

Answer:

yea

Step-by-step explanation:

Noah Beck starred as Dixie D'Amelio's love interest in her "Be Happy" music video.
Since then, the pair has revealed that they are dating.
Apparently, though, Noah wasn't even originally going to be cast in the video.
Imagine if Noah Beck and Dixie D'Amelio never kissed in the "Be Happy" music video? Where would we be now? Would the pair still be secretly dating?? Well,

YES U CAN TAKE THE POINTS

Answers

Answer:

yes my answer is yes kind sir

Answer:

They are so cute, i ship Doah so muchhh

Step-by-step explanation:

Divide. Write the quotient in lowest terms.
2 3/4 divided by 3

Answers

0.91666666666 hope this helps

(x - 9) (x + 1)
Use F.O.I.L to expand

Answers

ok f.o.i.l

Farting.On.Iggy.Lucky

Answer:

x²-8x-9 i think?

Step-by-step explanation:

Preform the following operations with fractions.
-11/5+4/6

Answers

(-11/5)(6/6) + (4/6) (5/5)
-66/30 + 20/30
-46/30
23/15

2x+y=10 Find one non solution and solution. EXPAIN plz help i have a timed test ill make brainliest.

Answers

Answer:

x=20-y

y=20-x

Step-by-step explanation:

divide by 2 on both sides: x+y=20

to find x, subtract y:

x=20-y

to find y, subtract x:

y=20-x

nothing else can be done unless you know either y or x.

Which set of expressions are not equivalent? (4 1/2a + 2) + 3 and 5 + 4 1/2 a

Answers

Answer:

not equivalent

Step-by-step explanation:

2a+11

5+9/2a

is 0.523 a rational number?​

Answers

Answer:

no

Step-by-step explanation:

Answer:

yes, it doesn't go on infinitely it stops at thousandths

what is the domain?​

Answers

Answer:

[-5,5]

Step-by-step explanation:

Find X
9yd
12yd
x= yd

Answers

Answer:

x= 108

Step-by-step explanation:

9 multiplied by 12 is 108

Hope this helps!!

If the height of a mountain erodes away by a total of
1 cm in 5 years and it decreased by the same
amount each year, then what is that change in
height every year?

Answers

The change in height every year is 0.2cm aka 2 millimeters.

1cm/5years = 0.2cm/1yr

Help me Plzzzzz!! ASAP!

Answers

All I can really say it it would be a linear function and the y axis is -3 but I can’t really help if I don’t know what the question is to the problem

True or false: The domain and range always have the same number of unique values.

Pls help! I only have 3 min left!

Answers

I believed it’s True

A standard paper clip is 1
inches long. If you laid 75 paper
clips end to end, how long would
the line of paper clips be?

Answers

Answer

75 inches

Explonation

To find the answer, you should multiply 1 by 75

A movie theater has two rooms. Room A has 7 rows of seats with 21 seats in each row. Room B has four times as many seats as Room A. How many seats are there in both rooms?

Answers

Answer:

588

Step-by-step explanation:

Because 7x21=147 then you take 147x4 and that equals 588 seats

answer both please :))))

Answers

Answer:

Y-intercept (0,4)

X-intercept (0,2)

Step-by-step explanation:

It the point where the line crosses the y or x intercept

Angle Pairs Relationships HW
Accessibility Mode

Pictures above

Find the value of each variable

1. A= ?
B= ?
C=?

2. A=?

3. A=?
B=?
C=?

Answers

Answer:

Step-by-step explanation:

1. A = 68

B = 112

c = 68

2. A = 127

3. A = 70

B = 55

C = 25

If you borrow $800 for 8 years at an annual rate of 11% how much will you pay altogether?

Answers

Answer:

$1,843.63

Step-by-step explanation:

[tex](1+0.11)^{8}[/tex] · 800 = $1,843.63

This is the answer 1,843.63

the equation for the graph

Answers

Y=mx+b

Hope this helps, brainliest pls!

the area of a square garage is 121 square feet. will it fit a car that measures 13 feet long? explain​

Answers

Answer:

It won't because the area is length times height. So 11 x 11. So some of the car will be hanging out of the garage.

Step-by-step explanation:

Help!!!!!!!!! Quick!!!!!

Answers

Right
Acute
Obtuse
Obtuse

Answer:

<A obtuse

<B acute

<C obtuse

<D right

Step-by-step explanation:

y = 5x + 2 and y = 5x – 1 parallel, perpendicular, or neither

Answers

Answer:

Parallel

Step-by-step explanation:

Parallel lines have the same slope, in this equation it is a slope of 5.

The given lines are parallel in nature.

What is slope?

Numerical measure of a line's inclination relative to the horizontal.

Equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation.

Given:

y = 5x + 2 and y = 5x – 1

The slope for line 1 is 5.

and, the slope for line 2 is 5.

For, perpendicular line the slope of both lines are negative inverse relation.

But here the slope of both line are same which have parallel nature.

Hence, both lines are parallel in nature.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ2

The measure of angle 1 is (3x + 10)° In the measure of angle 4 is (4x - 15)°
What is the measure of angle 7?​

Answers

∠1 = ∠4 ( vertically opposite angles )

Then :-

[tex]3x + 10 = 4x - 15[/tex]

[tex]10 = 4x - 15 - 3x[/tex]

[tex]10 = 1x - 15[/tex]

[tex]1x - 15 = 10[/tex]

[tex]1x = 10 + 15[/tex]

[tex]1x = 25[/tex]

Which means :-

∠1 =

= 3x + 10

= 3 × 25 + 10

= 75 + 10

= 85°

∠4 =

= 4x - 15

= 4 × 25 - 15

= 100 - 15

= 85°

Then :-

∠7 = ∠6

∠6 + ∠4 = 180° ( interior angles on the same side of transversal )

∠6 + 85 = 180°

∠6 = 180 - 85

∠6 = 95°

As ;

∠6 = ∠7

∠7 = 95°

Therefore , angle 7 = 95° .

Answer:

95

Step-by-step explanation:

The other answer on the red box is 7.

Answers

Answer:

8

Step-by-step explanation:

that is an isosceles triangle. they have 2 sides that are the same

8*4 is 32+7 is 39

9*8 is 72-33 is 39

Dewey rides his bicycle 5 miles in 3/4 of an hour. At this rate, how many miles can he ride his bicycle in 6 hours?

Answers

Answer:

18/16

Step-by-step explanation:

Answer: ez, 40 miles.

Step-by-step explanation:

Other Questions
Bob gets paid 64 hour heard that is 2/3 Melissa makes how much is Alicia paid per hour At about what time did the Texans attack the Mexican army at San Jacinto?a.3:30 a.m.b.3:30 p.m.c.12:00 a.md.12:00 p.m. Which mathematical statement shows the relationship between gravity and mass? Nikolas and Jayson recorded the numberof miles each ran over two years.Miles RanYear Nikolas JaysonLast Year 1,362 1.948This Year 1,982 1.013A. Write and solve equations to findhow many more total miles Nikolasand Jayson ran last year thanthis year.B. Estimate how many more mileswere run last year than this year byrounding each number in the tableto the nearest hundred and solvingthe problem. Use the estimate to 1check your answer to Part Alsreason Given that a=4,b=2 and c=-1, find the value of a-b+c Suppose a carpenter's ruler was marked in thirty-seconds. What would be the fraction and its decimal equivalent for the mark on the ruler between 29/32 and 30/32? Please help ASAP!!Islam quickly gained followers because it: A. did not have any written rules for people to follow. B. let people worship as many gods as they wanted. C. accepted people from all different backgrounds. D. focused on helping poor people become rich. Find two consecutive integers whose product is 12 more than the square of the smallernumber. A customer buys 1 XYZ Dec 30 call at 7 and sells 1 XYZ Dec 40 call at 1. Two months later, if the customer closes the positions when the spread is trading at 9 points, the customer has un avin aterriza en la superficie de un portaaviones a 50 m/s y se detiene por completo en 120 metros, cul es la aceleracin necesaria para detenerlo? Descriptions1.2.A. EarthquakeEpicenter1.B. Active2.Volcano1.C. Mountain2.Range the slope of the line................... when did the population double Shauna has collected a variety of sources for her research about Charlie Chaplin's impact on American cinema, in performingher preliminary evaluation of each source, Shauna shouldthoroughly review and examine the contentperform a quick search to determine the author's reliability,check whether the author agrees with experts on the subjectdecide whether it will be useful in her final essaySave and Exit Let's take a look at Jenny's situation.Jenny has a big exam coming up tomorrow. She doesn't think she has studied enough to get a good grade. What's the best way that Jenny can bring down her stress level before taking the test? What name is given to a type of story that involves real people and events from history but focuses on made-up characters? Help please: Find the quotient What is the maximum speed with which a 1200-kg car can round a turn of radius 92.0 m on a flat road if the coefficient of static friction between tires and road is 0.65 any kpop fans lol.. who do u stan? Help me please find x to this answer I'm very desperate.