Given the vertex of a parabola is (-3,1) and also contains the point (-4,-1). State the exact equation of the parabola in vertex form, show all your work.

Answers

Answer 1

Answer:

y = -2(x + 3)^2 - 1

Step-by-step explanation:

The vertex equation of a parabola is y = a(x - h)^2 + k.  If the vertex here is (-3, 1), then this equation becomes y = a(x + 3)^2 + 1.

Knowing that the graph passes through (-4, -1), we let  y = -1 and x = -4, obtaining:

-1 = a(-4 + 3)^2 - 1, which must be solved for a:

-1 = a - 1.  Therefore, a = -2, and the exact equation of this parabola is:

y = -2(x + 3)^2 - 1


Related Questions

Please help! Will give brainlist if correct! :(

Answers

Answer:

Rounding can be referred to as a replacement of a number with another number that is equivalent to it. Rounding can be used to shorten a given number without depriving it of its original value. For example, we have to round 56.89. We can round it as replacing it with 57 which is the closest value to 56.

Rounding numbers isn't that difficult task. In fact, it's quite interesting and easy to do. For rounding, all you are required to do is to figure out which decimal place of the number you want to round off. There are different methods to round off numbers. You can round off numbers to Half Up/Down, Round-Up/Down Round Half to Even/Odd, and So on. Anyhow, here, we are concerned with "To What Place You Want to Round Off a Number". This can be illustrated.

To know how rounding calculator works you just have to understand the way the numbers are rounded off to a particular decimal place. Following is a list of the places to which a number can be rounded off: 1. Ones 2. Tens 3. Hundreds 4. Thousands 5. Ten Thousands 6. Millions 7. Tenths (1 decimal place) 8. Hundredths (2 decimal place) 9. Thousandths ( 3 decimal place) 10. Ten Thousandths (4 decimal place) 11. Hundred Thousandths (5 decimal place) 12. Millionths (6 decimal place)

Step-by-step explanation:

What is it? This is science

Answers

Answer:

i believe C is correct :)

Answer:

The answer you got was correct.

Step-by-step explanation:

Predation means the preying of one animal on others,or more simplified,the action of attacking or plundering.

Write the word sentence as an inequality. A number z is fewer than 3/4.

Answers

Answer:

[tex]z<\frac{3}{4}[/tex]

Step-by-step explanation:

Will give brainliest. The volume of a sphere is 36,000 units What is the radius of the sphere? ​

Answers

Answer:

20.48 is the radius of sphere

Step-by-step explanation:

V=(4 /3)πr3

Using the formula

r=(3V /4π)⅓

Solving for "r"

r=(3V 4π)⅓=(3·36000 /4·π)⅓≈20.48352

are the triangles at the right simular explain

Answers

Answer:

no

Step-by-step explanation:

By the Side-Angle-Side Similarity Theorem (SASS), if two sides of a triangle are in proportion with the corresponding sides of another triangle, and the included angles are congruent, then the triangles are similar.

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

Answer:

The value of x is 4, and the measure of the four angles are 100°, 80°, 100°, 80°.

Step-by-step explanation:

There is a rule that states the following: when two lines intersect, the verticle/opposite angles formed will have the same degree measure. Using this rule, we can infer that [tex]30x-20=10x+60[/tex]. To solve for x, isolate the variable all on one side of the equation. [tex]30x-10x = 60 + 20[/tex] ⇒ [tex]20x = 80[/tex] ⇒ [tex]x=4[/tex]. Since we now know the value of x, you can use that to figure out a pair of verticle angles, apply the value of x to any equation and you'll get that two of the four angles are all 100°. Since the rotation of a full circle is 360°, you can get that the sum of the remaining two angles is 360° - 100° * 2 = 360° - 200° = 160°. Because we know the remaining pair of verticle angles are equal, we can get that each of the remaining angles is equal to [tex]\frac{160}{2}[/tex] or 80°, so the measure of all four angles are 100°, 80°, 100°, 80°.

I need help on 11 and 12.

Answers

I need help with this please respond rn

When looking for a job micah is told that the monthly salary has a range of 876 he also knows that the starting salary is 1,793 per month what is the maximum amount of money that micah can earn in this position?

Answers

Answer:

2669

Step-by-step explanation:

Given that :

Salary range = 876

Starting salary = 1793 monthly

The starting salary represents the minimum amount Micah can earn monthly

Therefore, the amount of money much can earn can be calculated thus :

Recall :

Range = maximum - minimum

876 = maximum - 1793

876 + 1793 = maximum

Maximum = 2669

Hence, the maximum salary Micha can earn is 2669 monthly

select all equations that have x = 3 as a solution. A. X + 7 = 10 B. 3+ x = 3 C. x • 3 = 1 D. 4 • x = 12 ​

Answers

Answer:

A.

Step-by-step explanation:

7+3=10 so it will be A, you're welocme

Answer:

A and D

Step-by-step explanation:

A) x + 7 = 10

D) 4 × x = 12

Solve for C.
Thank you to whoever answers!!!!!!!!!!!!!!!!!!!

Answers

Answer:

c=7

Step-by-step explanation:

How to solve your problem

8=−3+29

8=−3c+298=-3c+298=−3c+29

Solve

1

Subtract

29

292929

from both sides of the equation

8=−3+29

8=−3c+298=-3c+298=−3c+29

8−29=−3+29−29

8−29=−3c+29−298{\color{#c92786}{-29}}=-3c+29{\color{#c92786}{-29}}8−29=−3c+29−29

2

Simplify

3

Divide both sides of the equation by the same term

4

Simplify

Solution

=7

Hope this helps!

Have a great day!

-Lea

First we add 29 to both sides. 29+8=37
Our new equation is 37=-3c then we divide by three on both sides.
Your answer is 37/3

it's all on the picture ​

Answers

Answer:

i believe its 24+12

Step-by-step explanation:

It is 24 + 12 because 4 x 6 is 24 and 4 x 3 is 12. Combine the two and you get the equation 24+12 as a final answer

Please answer with explanation and standard form

Answers

Answer:

2x - 7y = -34.

Step-by-step explanation:

As the line we want is perpendicular to y= -7/2 x + 9 it's slope will be

-1 /(-7/2) = 2/7.

Now we find the point of intersection ofn the 2 given  lines:

x    + y = 10

3x - 4y = -12

Multiply the first equation by -3:

-3x - 3y = -30

Now add this last equation to the second one:

-7y =  -42

y = 6

Plug y = 6 into the first equation:

x + 6 = 10

x = 4.

So the point of intersection is (4, 6) and the equation we want passes through this, so using the point-slope form of  straight line we have:

y - 6 = 2/7(x - 4)

7y - 42 = 2(x - 4)

7y - 42 = 2x - 8

2x - 7y = -42 + 8

2x - 7y = -34

Answer:

y=(2/7)x+(7/3)

Step-by-step explanation:

y=-7/2(x)+9

y=mx+c

Therefore, slope of line y is -7/2

Because line y perpendicular to the required line

Therefore, slope of the required line is 2/7

x+y=10 ........(1)

3x-4y = -12 ......(2)

(1) x 4:

4x+4y =40 ......(3)

(3) + (2)

4x+4y+3x-4y=28

x=4

by substituting x=4 into (1), we have

y=10-4=6

Therefore, the point that the line intersects is (4, 6)

let y=(2/7)x+c be the required equation

(4, 6):

6=(2/7)4+c

c=21/4

therefore, the required equation is y=(2/7)x+(7/3).

solve for x
2 3/4 x = 11 11/12

Answers

Answer:

If your question mean : 2×3/4×X = 11×11/12 then ans is (121/18) I.e. 6.722

Step-by-step explanation:

1) multiply all the numerator part

2) Cross multiply and solve for X.

help me asap please

Answers

Step-by-step explanation:

1st - false

2nd - true

3rd - false

Answer:

it is true, true, false. your welcome

Evaluate the function requested. Write your answer as a fraction in lowest terms.
Triangle A B C. Angle C is 90 degrees. Hypotenuse A B is 13, adjacent A C is 12, opposite B C is 5.
Find tan A.

Answers

Answer:

sine A = four-fifths

Step-by-step explanation:

You have a rectangle triangle ABC with hypotenuse AB 35, side CB 28 and side CA 21. The angle C is 90°.

tanA =5\12

As

tanA = opposite\adjacent

= BC\AC

= 5\12

What is trigonometry?

Trigonometry is a branch of maths that studies relations between the sides and angles of triangles. Trigonometry is found all throughout geometry, as every straight-sided shape may be broken into a collection of triangles.

Learn more about trigonometry here

https://brainly.com/question/24349828

#SPJ2

SOMEONE PLEASE HELP!!!!! I’m not quite sure

Answers

Answer: I have no clue lol but if I had to guess I'd say A because it just seems like it stands out from the rest

Step-by-step explanation:

PLEASE HELP ILL GIVE BRAINLIEEST
SHOW WORK

Answers

You know that it's a bot when it says "explanation in file".

They forgot to put a question, there's nothing to answer...

factorise it
[tex]v[/tex]

Answers

Answer:

2(x – ½)(x + ½)

Step-by-step explanation:

2x² – ½

The above expression can be factorised as follow:

2x² – ½

2 is common to both 2 and ½. Thus,

2x² – ½ = 2[x² – ¼]

Recall

(½)² = ¼

Thus,

2[x² – ¼] = 2[x² – (½)²]

Difference of two squares

2(x – ½)(x + ½)

Therefore,

2x² – ½ = 2(x – ½)(x + ½)

A large tank holds 5 x 10^7 gallons of oil. How much oil can be stored in 27 tanks?
Write your answer in scientific notation.

Answers

Answer:

i dunno do the math

Step-by-step explanation:

The price of a watch was increased by 20% to £198.
What was the price before the increase?

Answers

Answer:

$165 Hope this helps! May I have brainliest? I need to level up?

Step-by-step explanation:

To find the original price before the increase, divide the new price by 1 + the percent of increase.

198 / 1.20 = 165

The original price was $165

Tammy sang 4 songs. Every song was 5/8 minutes long. For how much time did she sing in total? Write your answer in simplest form.

Answers

Answer:

5/2

Step-by-step explanation:

Tammy has 4 songs

For each of the songs, the time spent is 5/8 minutes

Therefore the total time spent ca be calculated as follows

= 4 × 5/8

= 20/8

= 5/2

Hence the total time spent is 5/2

Answer: 2.5

Step-by-step explanation: 4* 5/8 = 20/8 20/8= 2 4/8  2 4/8 = 2 1/2

2 1/2= 2.5

What’s the area of this polygon answer ASAP my teacher died

Answers

Answer:

Break it into 2 sections: 18 by 3 and 6 by 20

area = 54 + 120

= 174 (answer is A.)

Step-by-step explanation:

9514 1404 393

Answer:

  A.  174

Step-by-step explanation:

Use your number sense. The area can be no larger than the rectangle that is 20 high and 9 wide. That rectangle's area is ...

  A = LW = (20)(9) = 180

The only answer choice smaller than 180 is ...

  A.  174 . . . . . square units

__

If you want to compute it exactly, you can make note of the size of the empty space at the upper left corner. That space is 20-18 = 2 units high and 9-6 = 3 units wide. Its area is A = LW = (3)(2) = 6 square units. When that empty space is subtracted from the overall rectangle area, the result is ...

  180 square units - 6 square units = 174 square units.

What sides are the triangles?

Answers

Answer:

Step-by-step explanation:

From the picture attached,

In ΔABC and ΔGFE,

AC ≅ EG  [Given]

BC ≅ EF [Given]

AB ≅ FG [Given]

By the SSS property of congruence, ΔABC ≅ ΔGFE

The two triangles are related by SSS property of congruence, so the triangles are congruent.

PLEASEEEEE HELPPP MEE THIS IS LITERALLY MY 10TH TIME POSTING AND IM LOSING POINTS PLSS HELP MEEE I WOULD HAVE A MENTAL BREAKDOWN PLS

Answers

Answer:

8

Step-by-step explanation:

it's 8 because parallel lines have equal slopes

PLEASE HELP ME ON THIS QUESTION AND DONT GUESS ASAP!!!!!!!

Answers

Answer:

25 ft ........................

Answer:

25.13ft  or 25ft

Step-by-step explanation:

hope this helps :)

Pick a number 1-10, number closest to the one i picked gets brainliest

Answers

I will pick 10. So also these r just for the characters so I can post it

Answer:

5

Step-by-step explanation:

what is the length of LK?

Answers

Answer:

26 i think

Step-by-step explanation:

The two triangles below are similar. What is the similarity ratio of AABC to ADEF?

Answers

Answer:

2 : 1

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

AC : DF = 8 : 4 = 2 : 1

1. Andy's little brother has a toy box that contains 2 blue race cars, 1 green race cars, and 1 red race car. Andy removes 2 race cars from the toy box without looking. If Andy remove a blue car first and does not replace it, which best represents the sample space for the cars Andy Removes? *
10 points
A{ ( blue, green), ( blue, red) }
B{ ( blue, blue), (blue, green), ( green, red)}
C{ ( blue, blue), ( blue, green), (blue, red) ]
D{ (blue, red), ( green, red), (blue, blue)}

Answers

Answer:

I believe it’s A bc there are only 4 cars in the toy box

Step-by-step explanation:

Brainliest if correct?

thanks have a good day!

Answer: a........ I think im not sure sorry

Step-by-step explanation: it might be a because it is the only answer with four cars. All of the others i dont know.

Round 4.743 to the nearest hundredth

Answers

Answer:

4,700

Step-by-step explanation:

4 is not big enough to round the 7 up to a 8

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