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

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

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:

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

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

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:

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

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:

Find X
9yd
12yd
x= yd

Answers

Answer:

x= 108

Step-by-step explanation:

9 multiplied by 12 is 108

Hope this helps!!

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

Which expression is NOT equivalent to 4 x 3/8

Answers

Answer:

yea

Step-by-step explanation:

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

the equation for the graph

Answers

Y=mx+b

Hope this helps, brainliest pls!

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

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

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:

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

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

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

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:

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 :>

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

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

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

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.

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:

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

what is the domain?​

Answers

Answer:

[-5,5]

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:

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

Answers

Right
Acute
Obtuse
Obtuse

Answer:

<A obtuse

<B acute

<C obtuse

<D right

Step-by-step explanation:

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