Mathematics College

The vertex of a parabola is (6,2), and the equation of its directrix is x = 8. What is the equation of this parabola in standard form?

a. (y−2)2=8(x−6)

b. (y−2)2=−8(x−6)

c. (x−6)2=−8(y−2)

d. (x−6)2=8(y−2)

Answers

Answer 1

Answer:

The equation of this parabola in standard form is (y - 2)² = -8(x - 6) ⇒ B

Step-by-step explanation:

Let us revise the standard form of the equation of a parabola

The standard form of the equation is (y - k)² = 4p(x - h), where

(h, k)  is the turning point (h + p, k)  are the coordinates of the focus x = h - p  is the equation of the directrix

∵ The vertex of a parabola is (6, 2)

→ From the fact above

∴ h = 6 and k = 2

∵ The equation of its directrix is x = 8

→ From the fact above

∴ h - p = 8

→ Substitute the value of h to find p

∵ 6 - p = 8

→ Subtract 6 from both sides

∴ - p = 2

→ Multiply both sides by -1

∴ p = -2

→ Substitute the values of h, k, and p in the form above

∴ (y - 2)² = 4(-2)(x - 6)

∴ (y - 2)² = -8(x - 6)

∴ The equation of this parabola in standard form is (y - 2)² = -8(x - 6)

Related Questions

an orchard sells 6lb of apples for $13.50 there is a proportional relationship between the cost and number of apples.

Answers

Answer:

Yes, there is a proportional relationship. For every 6 pounds of apple sold, they make $13.50.

Help please dhskksbsjsjsbsis

Answers

Answer: Here is the pic and so its 8.9 so it would be 9 because your rounding and I hope this helps :D

I need help please and thanks ​

Answers

Answer:

1.) 3  

2.) 11

3.)17

Step-by-step explanation:

you would want to add them up then multiply

Answer:

M<1=55

M<2=55

M<3= 70

Step-by-step explanation:

Angle 1 and 2 are equal

math picture help me

Answers

Answer:

D

Step-by-step explanation:

Can someone pls help me right quick hurry pls

Answers

Answer:

b

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

4 in hundreds (400)

3 in ones (3)

2 in tenths (.2)

9 in hundredths (.09)

What is the equation of this line in Slope intercept Form?​

Answers

Answer:

y = x - 5

Step-by-step explanation:

12 1/2 gal= qt
can you help me plsssssss

Answers

Answer:

50 qrts

Step-by-step explanation:

12.5 gal = 4x qrts

12.5 * 4 = 50

in 1/2 a gal. there is 2qt.

so that makes a gal = 4qt.

12 x 4 =48qt plus 2qt equals 50 qt

What is 350,000 as a whole number and a power of ten

Answers

Answer:

350,000 add ten more zeros

Step-by-step explanation:

350,000¹⁰ 350,000 000,0000

what is the value of x in the equation below?
-3-(-8)-(-2)=x​

Answers

Answer: The X =7

Step-by-step explanation:

So by simplifying both sides of the equation, then isolating the variable you get the answer and find the value of x Hope this Helps

40 is 60% of what number? **ROUND TO THE NEAREST TENTH** *

Answers

Answer:

66.7

Step-by-step explanation:

hope this helps

Answer:

40 is 60% of 66.7

Step-by-step explanation:

By using the bowtie method, you can check as 40 multiplied by 100 equals 4,000. Then divide 4,000 by 60 to get 66.66666. Since you round to the nearest tenth, it'll be 66.7

hope this helps! =)


Math plz help
Geometry

Answers

?????????? What are you asking cause I’m confused
????

Answer:

Okay

Step-by-step explanation:

Since it's a parallelogram, the adjacent angles on the same side is complimentary. Meaning they add up to get 180°.

So,

12x° + 8x° = 180°

20x°= 180°

x°= 180/20

x°= 9°

Hope you understand. Thank you

I'm answering any 5th grade and below questions​

Answers

Answer:

In at least one hundred words, describe how what Markandaya reveals about Kenny helps to shape his character, and which themes in Nectar in a Sieve are developed with this information.

Step-by-step explanation:

3x+13 what is x I need help please Need a quick response

Answers

Answer:

X cannot be solved for

Step-by-step explanation:

This isn't an equation because there's no equal sign and it cannot be simplified further. X values cannot be combined with non-x values.

Evaluate x=2
F(x)=2x+4

Answers

X=2
F(x)=2(2)+4
f(x)=8

HELP PLEASE!! NUMBER ONE OR TWO PLEASE!

JUST SHOW ME HOW TO DO IT! THANK YOU BUNCHES!xoxo

Answers

Answer:

Step-by-step explanation:

1. 6, ?, ?, ?,102

a0 =6

a1=?

a2=?

a3=?

a4=102

an= a0+n*d

a4= 6+ 4*d=102 so 4d= 102-6=96, so d=96/4=24

d=24

a1 = 6+24=30

a2 =30+24=54

a3 =54+24=78

If Big Bun won 5 out of 25 matches, what percent did he win?

Answers

Answer:

5/25*100=

1/5*100=100+5=20

What is the percent of increase from 900,000 to 1,000,000?
Round your answer to the nearest tenth of a percent and include a percent sign (%),

Answers

Answer:

1000000/900000= 10/9= 1.1111111111*100=11.11%

In the most recent NBA Finals series, Lebron James took 175 shots and made 80.
In his last NBA Finals series, Michael Jordan took 190 shots and made 85. Who had a better percentage?

Answers

Answer:

Michael Jordan

Step-by-step explanation:

190-85 =105

175-80=95

Answer:

Michael Jordan

Step-by-step explanation:

Rachel finished
3
_
4
of the race in 6 hours. How long was the entire race?

Answers

Answer:

8 hours

Step-by-step explanation:

Answer:

bjhmiukjgjhkuijkl

Step-by-step explanation:

If 300 cones were sold, how many were chocolate?

Answers

Answer:

90

Step-by-step explanation:

A triangle has two sides of length 5 and 11. What is the smallest possible whole-number
length for the third side?

Answers

The smallest possible whole number length for the third side is 7

Data obtained from the question1st length = 52nd length = 113rd length =?

How to determine the smallest possible length of the 3rd side

Case 1

1st + 2nd > 3rd

5 + 11 > 3rd

16 > 3rd

3rd length < 16

Case 2

1st + 3rd > 2nd

5 + 3rd > 11

3rd > 11 - 5

3rd > 6

Thus, we have

6 < 3rd length < 16

Since the 3rd length is greater than 6, then the smallest possible length for the 3rd side is 7

Learn more about sides of triangles:

https://brainly.com/question/17113064

#SPJ1

If a, b are real numbers and 7a + i(3a - b) = 14 - 6i , then find the values of a and b.

Answers

If a, b are real numbers and 7a + i(3a - b) = 14 - 6i, then find the values of a and b. Therefore, the value of a = 2 and the value of b = 12. 3.

The value of the variables 'a' and 'b' of the complex equation will be 2 and 12, respectively.

What is a complex number?

The complex number is the combination of the real part and the imaginary part. Then the complex number is given as a+bi where the value of i is √(-1) and the value of i² is -1.

The equation is given below.

7a + (3a - b)i = 14 - 6i

Compare the real part of the equation, then we have

7a = 14

a = 14 / 7

a = 2

Compare the imaginary part of the equation, then we have

3a - b = - 6

3 x 2 - b = -6

6 - b = - 6

b = 6 + 6

b = 12

The value of the variables 'a' and 'b' of the complex equation will be 2 and 12, respectively.

More about the complex number link is given below.

https://brainly.com/question/10251853

#SPJ2

Suppose that the halflife of a substance is 250 years . If there were ir 100 the substance , (a) give an exponential model for the situation, and (b) how much wil years?
can anyone answer this please:(

Answers

After 500 years one would have N nuclei of the original substance.

N = 100 * exp ( -ln(4) ) = 25

LOL.

I guess it is exp( - lamda * t)

Lamda, the decay constant is the ln(2) over the half life.

So we get exp( -ln(2)/250 * 500) or exp ( -ln(4) )
690 viewsView 1 Upvoter
Related Questions (More Answers Below)

How many cups of potatoes are needed if 1 cup of diced ham is used?

Answers

Answer:

i think 7 but i am not 100% sure

Step-by-step explanation:

Find the dimensions of the circle. Check your answer,
Area = 36π m^2

Please help!

Answers

Answer:

6 i think..

Step-by-step explanation:

A number cube has a volume of 27 mm3. What is the length of one edge of the cube

Answers

If the volume of a cube is 27 it means that one edge is equal to the cube root of 27
3*3*3=27
Edge=3

I hope it was helpful

A 100​-inch pipe is cut into two pieces. One piece is three times the length of the other. Find the length of the shorter piece.

Answers

The shorter piece would be 25 inches

PLEASE PLEASE HELP!!!!

Answers

Answer:

It's A or B but I think B

Step-by-step explanation:

At a​ little-known vacation​ spot, taxi fares are a bargain. A 16​-mile taxi ride takes 24 minutes and costs ​$9.60. You want to find the cost of a 42​-minute taxi ride. What unit price do you​ need?

Answers

Answer:

$32.90

Step-by-step explanation:

You would need $32.90 to get travel by the taxi.

Write the standard form equation of the line through the given points. through (0.-4) and (-3,-2)

Answers

Answer:

The standard form of equation of the line through the given points. through (0.-4) and (-3,-2) is [tex]\frac{2}{3}x+y=-4[/tex]

Step-by-step explanation:

The standard form of equation is [tex]Ax+By=C[/tex]

Finding slope

Using the given points (0,-4) and (-3,-2) we can find slope using formula:[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]Slope=\frac{-2-(-4)}{-3-(0)}\\Slope=\frac{-2+4}{-3} \\Slope=-\frac{2}{3}[/tex]

Finding y-intercept

Using point (0,4) and Slope=-2/3 we can find y-intercept

[tex]y=mx+b\\-4=-\frac{2}{3}(0)+b\\-4=0+b\\b=-4[/tex]

The slope intercept form of the line through the given points. through (0.-4) and (-3,-2) having slope =-2/3 and b=-4 will be:

[tex]y=mx+b\\y=-\frac{2}{3}x-4[/tex]

Now, standard form of equation will be: [tex]\frac{2}{3}x+y=-4[/tex]

So, The standard form of equation of the line through the given points. through (0.-4) and (-3,-2) is [tex]\frac{2}{3}x+y=-4[/tex]

Other Questions
please help I will give brainliest (if it lets me) New account if u added my account antonio716 this my new account new friends EASY QUESTION PROBABLY CAN GOOGLE IT! HELP ASAP!! WILL MARK BRAINLIEST!! The president can be removed by Congress which is known as?Idk help me plz Water boils at 100C and turns into steam. Which similarities or differences are there between water in these two states? (1 point)The particles will have more space between them and will be moving at higher speeds as steam.The particles will have more space between them as steam, but they will be moving at the same speed in both states.The particles will have more space between them as a liquid, but they will be moving at the same speed in both states.The particles will have more space between them as a liquid, but they will be moving faster as steam. Pls dont give me a essay from the internet. I have a app that can tell me if its from the internet. Pls help me :( I'm answering any 5th grade and below questions Developing the ability to solve problems can help you . The first step you should take is to the problem and then solve it. a. advance in your career a. create b .become more ethics b. identify c. change your values c. ignore A centroid of a triangle is always inside the triangle because thepasses through a vertex and the side opposite.A. medianB. angle bisectorC. altitudeD. perpendicular bisector What does this graph help to explain about Alexander Hamilton's financial program during George Washington's Administration?-the amount of money the government would owe want to assume responsibility for state and federal debts -the amount of money states needed to pay the national government to address the debt crisis -the amount of money the government would gain from foreign countries to help cover the debt -the amount of money the government has repaid to avoid creating a permanent national debt How can government revenue be increased. select four options Seven years ago, Goodwynn & Wolf Incorporated sold a 20-year bond issue with a 14% annual coupon rate and a 9% call premium. Today, G&W called the bonds. The bonds originally were sold at their face value of $1,000. Compute the realized rate of return for investors who purchased the bonds when they were issued and who surrender them today in exchange for the call price. Mohs scale is used to determine what property of minerals?O cleavageO lusterO hardnessO density What is the answer? I dont get it Is -0.003 irrational or rational how is death perceived in the poem HELP NEEDED TIMED i need help figuring out how to do this Which of these would you associate with obesity? Select the two correctanswers.O A. Abnormally high body mass index (BMI)O B. Binge-eating disorderC. Anorexia nervosaD. Abnormally low body mass index (BMI) What is needed to get a patent The frequency of a wave remains constant if the medium, temperature, and pressure do not change. True of False?