Select the graph that correctly represents ƒ(x) = –2(x + 4)2 – 1.Find the equation of the parabola with its focus at (3,4) and its directrix y = 0.

Answers

Answer 1

Answer:

Equation of parabola:  8*(y - 2) = (x - 3)^2

or

y = (1/8)*(x - 3)^2 + 2

Step-by-step explanation:

focus at (3,4) and its directrix y = 0.

Focus equation:  (h, k + c) = (3, 4)

Directrix equation  y =  k - c = 0

so  h = 3,   k + c = 4,   k - c = 0

Solve  the system :  k + c = 4 and k - c = 0

add the equations together:     k + c + k - c = 4 + 0

2k = 4

k = 2

so   k + c = 4,    2 + c = 4,   c = 2

4c (y - k) = (x -  h)^2

4*2 *(y - 2) = (x - 3)^2

8*(y - 2) = (x - 3)^2


Related Questions

Help help help help

Answers

The answer is 4. 2x plus 7 is equal to 15. First you subtract 7 from both sides then divide by 2 to get the answer 4. Hope this helps!

The radius of a circleIs 3 inches what is the circles area

Answers

Answer:

28.27

Step-by-step explanation:

area of circle: πr^2

π(3)^2

=9π = 28.27

Two different formulations of an oxygenated motor fuel are being tested to study their road octanenumbers. The variance of road octane number for formulation 1 is ı2 = 1.5, and for formulation, 2it is ı2 = 1.2. Two random samples of size n1 = 15 and n2 = 20 are tested, and the mean roadoctane numbers observed are x1 = 89.6 and x2 = 92 5. Assume normality. Find the 95%confidence interval for the difference in the mean octane number.

Answers

Answer:chomai

Step-by-step explanation:chomai

True or False.

The expressions 3+y and 13(6+y) are equivalent?



True

False

Answers

Answer:

False

Step-by-step explanation:

Brainliest please?

Juliette ate 1/3 of a cake, and Brad ate 3/8 of the same cake. What fraction of the cake was eaten?

Answers

Answer:

17/24

Step-by-step explanation:

Find common denominators...

1/3 = 8/24

3/8 = 9/24

Now add...

17/24 of the cake was eaten

Hope this helps :)

The new TCL LED TV at Best Buy is regularly $299.



a) You have a 25% coupon. What is the sale price after the discount? $




b) What is the total purchase price if sales tax is 8.5%? $

Answers

a) $224.25
b) $243.31

Answer:

1) 224.25

2) 243.31

Step-by-step explanation:

Maria wanted a sewing needle that had the smallest diameter. Which needle diameter is the smallest?

0.101 in
0.011 in
0.11 in
0.001 in

Answers

0.001 hope this helps


Of the 60 books on a bookshelf,24 are non-fiction.what percent of the books are non fiction.
fiction?

Answers

40% of the books are non-fiction
(24/60)(100%)= 40%

Solve For X (I could use some help because I'm confused on this)​

Answers

Answer:

X=10

Step-by-step explanation:

The arc is twice the angle, so 130.

12x+10=130

12x=130-10

12x=120

x=10

The dimensions of a rectangular pool table are: (x + 4)(x + 10), What is the area of the table?

Answers

Answer:

D. x^2 +14x + 40

Step-by-step explanation:

(x+4)(x+10)

x^2+10x+4x+40

x^2+14x+40

Answer:

d) x^2+14x+40

Step-by-step explanation:

You gotta multiply (x + 4)(x + 10)

PLEASE HELP. I NEED TO GET THIS RIGHT

Answers

Ciro is right

Gerard is wrong

Gunther is also wrong

Equal expression:

1 - 2(40x - 12)

Can someone help me please

Answers

9514 1404 393

Answer:

  {Segments, Geometric mean}

  {PS and QS, RS}

  {PS and PQ, PR}

  {PQ and QS, QR}

Step-by-step explanation:

The three geometric mean relationships are derived from the similarity of the triangles the similarity proportions can be written 3 ways, each giving rise to one of the geometric mean relations.

  short leg : long leg = SP/RS = RS/SQ   ⇒   RS² = SP·SQ

  short leg : hypotenuse = RP/PQ = PS/RP   ⇒   RP² = PS·PQ

  long leg : hypotenuse = RQ/QP = QS/RQ   ⇒   RQ² = QS·QP

I find it easier to remember when I think of it as the segment from R is equal to the geometric mean of the two segments the other end is connected to.

__

  segments PS and QS, gm RS

  segments PS and PQ, gm PR

  segments PQ and QS, gm QR

You are visiting the rainforest, but unfortunately your insect repellent ran out. As a result, at each minute, with probability 0.5, one mosquito lands on your neck, and with probability 0.5, no mosquito lands. If a mosquito lands, it will bite you immediately with probability 0.2, or leave immediately with probability 0.8. a) What is the expected time between successive bites

Answers

Answer:

we will assume a variable X for time which is time between two successive bites and time until next bite.

X = (time between successive mosquito bites) = (time until the next mosquito bite).

According to the Bernoulli process, the bites occur parameter y = (0.5)(0.2) = 0.1.

X is a geometric random variable, so

E[X] = 1/p = 10

and

var(X) = (1 − p)/p^2 = (1 - 0.1)/0.1^2 = 0.9 / 0.01 = 90

) Jess has saved dimes ($ 0.10) and quarters ($ 0.25) in their piggy bank. Define the variables and write a
system of equations to determine the number of dimes and quarters if they have 25 coins worth $4.00
in total. Then solve the system using the best method for the situation.

Answers

Answer:

Quarters = 10

Dimes = 15

Step-by-step explanation:

d = number of dimes, q = number of quarters

d + q = 25 is the equation for number of coins

0.1d + 0.25q = 4 is the equation for value of coins

First, solve for d in terms of q:

d + q = 25

d = 25 - q

Then substitute that into the other equation:

0.1(25 - q) + 0.25q = 4

2.5 - 0.1q + 0.25q = 4

0.15q = 1.5

q = 10

And back to d = 25 - q, d = 25 - 10 = 15

Check the math:

0.1(15) + 10(0.25) = 1.5 + 2.5 = 4

LMK if you have questions

Which relation is a function?

A. {(0, 1), (0, 2), (1, 2), (1, 3)}
B. {(8, 1), (4, 1), (0, 1), (–15, 1)}
C. {(–2, –12), (–2, 0), (–2, 4), (–2, 11)}
D. {(–4, –6), (–3, –2), (1, –2), (1, 0)}

Answers

a is a function
expiation:

The quadrant that contains the point (-7,-16) is quadrant PLSS ANWAR NOW NEED HELP NOW

Answers

Answer:

hi how may i help

Step-by-step explanation:

how can i help u

The Lcm of 4,9 what is that

Answers

Answer:

36

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

A number more than nine is more than twenty.

write as an inequality

Answers

Answer:

I think it is 20 < x > 9. But I am not completely sure.

What is the answer I need to know

Answers

Answer:

Arrange your numbers in numerical order.

Count how many numbers you have.

If you have an odd number, divide by 2 and round up to get the position of the median number.

If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.

Q. A mechanic has a radiator hose that
measures 32 feet long. It needs to be cut into
pieces equaling 5 feet 3 inches. How many
whole pieces can it be cut into?
A. 4 pieces
B. 6 pieces
C. 7 pieces
D. 8 pieces

Answers

B 6 whole peices

explanation

I need help please!!

Answers

Answer:

Sorry I could only find the answer to the second part.

y=56x

Find the diameter of a circle with circumference 44 cm​

Answers

Let the diameter be d cm
As we know that
Circumference of circle with diameter d is πd
Given Circumference of a circle is 44 cm
⟹πd=44

7
22

×d=44
⟹d=
22
44×7

=14
So the diameter is 14 cm

Answer:

14cm

Step-by-step explanation:

just so u know all u gotta ddo to findd the diameter is divide it by 3.14 i think

ayuda plis es para hoy.​

Answers

Answer:

8.29

Step-by-step explanation:

Cada linea representa ,1

y como es la ultima linea de las 9 antes del 8,3 la respuesta es 8.29


There are 1,000 meters in 1 kilometer. How many kilometers are in 3,600 meters?


HELP

Answers

Answer:

A. 3.6 kilometers

Step-by-step explanation:

1000 meters = 1 km

3600 meters = x km

Set as a ratio:

1000 : 1 = 3600 : x

Then divide:

[tex]\frac{3600}{1000} = \frac{x}{1} = x[/tex]

so 3600/1000 = 3.6 = x

3.6 km

hey guys i need some help on this division problem i have

Answers

Answer:

3. 25/28

4. 1 1/7

Step-by-step explanation:

when you divide fractions just flip one of them and then multiply across

so instead of 5/7 ÷ 4/5 its

5/7 • 5/4

please mark me brainliest to help me get ace rank

Dunkin Donuts sold 1,600 drinks in one day. Of those drinks, 87.5% of them were coffee . How many of the drinks were coffee?

Answers

Answer: 1400 is coffee.

Step-by-step explanation:

How do you find the fraction between 9/5 and 10/5?

Answers

Answer:

Step-by-step explanation:

to do something like this, you could just multiply both sides by 2. So now, you have 18/10, and 20/10. The one in between that would be 19/10

3 Convert 6,23 kg to grams​

Answers

Answer:

6230 grams xD

Step-by-step explanation:

6230 grams..

( it says i have to write 20 letters so i just did this)

8 1/3 33/4 8.287 8.29 order from least to greatest

Answers

Answer:

33/4 - 8.287 - 8.29 - 8 1/3

----------------------------------------------------------------------------------------------------------------

pls can i get brainliest it took soo long to figure out

Help fast please....

Answers

Answer:

46 yd²

Step-by-step explanation:

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