Which quadratic function in vertex form has a vertex at (−5 , −4) and passes through the point (−2 , −1)?

y=−13(x+5)^2−4

y=−13(x−5)^2+4

y=13(x−5)^2−4

y=13(x+5)^2−4

Answers

Answer 1

Answer:

y = 1/3(x + 5)^2 - 4

Step-by-step explanation:

The general vertex form is;

y = a(x-h)^2 + k

From the question, (h,k) are the coordinates of the vertex which is (-5,-4)

So we have

y = a(x + 5)^2 -4

So we need to get the leading coefficient

Simply substitute the point it passes through

x = -2 and y = -1

-1 = a(-2 + 5)^2 - 4

-1 = a(3)^2 -4

-1 = 9a -4

9a = 4-1

9a = 3

a = 3/9

a = 1/3

So the equation is;

y = 1/3(x + 5)^2 - 4


Related Questions

Find the axis of symmetry. Question in pic. PLEASE HELP

Answers

Answer:

axis of symmetry is x = 1; vertex is (1,8)

I am a 6-digit number one of my 4s is worth 400,000. My 5 is worth 5 [10s]. My other 5 is worth 1/100 as much.My 8 is worth 800.My 2 is worth 2 . My other digit is a 0 what number am I.

Answers

Answer:

The question is corrected to get;

405,852

Step-by-step explanation:

The expression of the description when written as follows;

'I am a 6-digit number one of my 4s is worth 400,000. The other 5 is worth 1/100 as much. My 5 is worth 5 (10s). y 8 is worth 800. My 2 is' worth 2. My other digit is a 0 what number am I, we have;

The number of digits in the number = 6

The position of the number 4 = 100,000s, we have;

4xx,xxx

The position of the number 5 is in the 10s position, we have;

4xx,x5x

The other 5 = 50100 = 0.5

Therefore, we have;

4xx,x5x.5

The position of the 8 is the 100s, to give;

4xx,85x.5

The number 2 is in the unit position, therefore, we have;

405,852

song I made wonder what yall think of it

Answers

Niceeeee that really good
Good job

Answer: Oop if you put that on spotify i would listen to that on repeattttttt

Which function is shown in the graph below?

Answers

Answer:

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

Step-by-step explanation:

The correct expression of the given graph is y = [tex](1/2)^{x - 3} + 1[/tex]

What is parabola?

A parabola is a U-shaped plane curve in which any point is an equal distance from both a fixed point (known as the focus) and a fixed straight line (known as the directrix). The issue of parabola is intertwined with the topic of conic sections, and all of its principles are discussed here.

In the given figure,

The curve represent the parabola

Since the curve is passing through

(0,9) from the Y axis and touches x axis at infinity

Now we can use hit and trial method to find the exact equation

So we plot the figure one by one

Hence,

we get the correct equation,

y = [tex](1/2)^{x - 3} + 1[/tex]

To learn more about parabola visit:

https://brainly.com/question/29267743

#SPJ2

A dessert recipe calls for 2 1/2 cups of milk and makes 5 servings. How many cups of ilk are needed for 8 servings?

Answers

Answer:

4 cups

Step-by-step explanation:

Number of cups of milk for 5 servings = [tex]2\frac{1}{2} =\frac{5}{2}[/tex] cups

First find number of cups of milk for 1 serving.

Number of cups of milk for 1 serving = [tex]\frac{\frac{5}{2} }{5}=\frac{1}{2}[/tex] cup

Now find umber of cups of milk for 8 servings.

Therefore,

Number of cups of milk for 8 servings = [tex]8(\frac{1}{2})=4[/tex] cups

linear equations that share the same slope are peroendicular. true or false​

Answers

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:This is FALSE Linear equations that share the same slope are PARALLEL.

:

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The length of a plane is 18.4 metres Lucas buys a scale model plane The scale of the plane is 1 : 23

Answers

Answer:

423.2 is the length of the scale copy

Step-by-step explanation:

18.4 * 23 = 423.2 hope this helps!

Mary had $156.00 and spent 1/6 of it for a coat. She then bought a skirt with 1/4 the money she had left. How much money did she have left after buying her coat and skirt? Group of answer choices

Answers

Answer: $ 97.5

Step-by-step explanation:

156 * 1/6 = 26

156-26=130

130 * 1/4- 32.5

130-32.4= 97.5

Sasha buys bagels for her garage sale customers she buys all the chocolate chip bagels and half of the plain bagels each bagel cost 2.50 how much does Sasha spend on bagels

Answers

The question is incomplete:

Sasha buys bagels for her garage sale customers she buys all the chocolate chip bagels and half of the plain bagels each bagel cost 2.50 how much does Sasha spend on bagels? The table that shows the types of bagels sold at the bagel shop on Friday is attached.

a. $70

b. $20

c. $90

d. $110

Answer:

c. $90

Step-by-step explanation:

First, you need to find the amount of bagels that Sasha purchased. The statement indicates that she buys all the chocolate chip bagels and the table shows that 28 chocolate chips bagels were sold, so that's the amount she purchased of this type of bagels. Also, the statement indicates that she buys half of the plain bagels and the table says that 16 plain bagels were sold, so you have to divide this amount by 2:

16/2=8

Then, you have to add the amount of chocolate chips bagels plus the amount of plain bagels that Sasha purchased:

28+8=36

Now that you know the amount of bagels that Sasha purchased, you have to multiply this for 2.50 that is the price per bagel:

36*2.50=90

According to this, the answer is that Sasha spends $90 on bagels.

2. Write 6.07 x 10^7 in standard form

Please help me .

Answers

Answer:

60,700,000

Step-by-step explanation:

⇒10⁷ = 10000000

∴6.07 x10000000

=60,700,000

Lauren woke up one morning and saw frost on the windows. It was -13°C outside. Later in the day, the frost melted. At 3 p.m. it was 4°C outside. Which expression represents the difference between the two temperatures?

Answers

Answer:

morning  =  -13°C

afternoon = 4°C

so,

x = (morning - afternoon)

I hope this helps a little bit.

which inequality is graphed below?

Answers

d. the last answer choice

Sally invests £8000 in a savings account.
The account pays 2.8% compound interest per year.
Work out the value of her investment after 4 years.
Give your answer to the nearest penny.

Answers

Answer:

£8934.34

Step-by-step explanation:

[tex]8000 * 1.028^4 = 8934.34[/tex]

rounding to 2dp

if trunctuated at 2dp however, 8934.33

the number is multiplied by 1.028 to the power of four as you go through the equation four times, so it would be the same as

x * n * n * n * n, where it would simplify to x * n^4

A triangle has side lengths of 14 cm and 7 cm. Which could be the value of the third side, 22 cm or 20 cm?

Answers

Answer:

Undefined, it can be 20 cm, 22 cm or any value.A triangle has no limitations for any of each three sides.

Step-by-step explanation:

How it works? The triangles have no limits on their sides, but by their angles. Each triangle sums 180 degrees at the inner angles. If you don't have specific values for the angles it is not necessary to get some values for the third side. It could be 1, 2, .... or even 1000.

Find the value of x and justify your answer

Answers

Answer:

a.

2x+4x+3x=180 sum of interior angle of the triangle is 180

9x=180

x=180/9=20

b.

x-20+x+10+x-20=180sum of interior angle of the triangle is 180

3x-30=180

3x=180+30

x=210/3=70

c.x+10+x+20+x=180 linear pair

3x+30=180

3x=180-30

x=150/3=50

Answer:

The picture is kinda blurry so I hope I've got it right.

a) x = 20°

b) x = 70°

c) x = 50°

Step-by-step explanation:

a) 2x + 3x + 4x = 180°

9x = 180°

x = 50°

b) (x - 20°) + (x - 20°) + (x + 10°) = 180°

3x - 30° = 180°

3x = 210°

x = 70°

c) (x + 10°) + (x + 20°) + x = 180°

3x + 30° = 180°

3x = 150°

x = 50°

Am I correct?? Please correct me

Answers

The correct answer is that the new store will have a profit of $ 5400 after its fifth month.

Profit is given by subtracting revenue minus cost:
(RC) (x) = (x² + 5x + 14) - (x²-4x + 5) = x²-x² + 5x - 4x + 14-5 = 5x + 4x + 14 -5 = 9x + 9

Using 5 for x, (RC) (5) = 9 (5) + 9 = 45 + 9 = 54

This is in hundreds of dollars, so it represents $ 5400.

Josie watches a play at the theatre.
The play ends at 9:55 pm.
It takes Josie 15 minutes to get from her seat in the theatre to the bus stop.
Buses to Josie's home leave the bus top at the following times
18:25
19:25
20:25
21:05
21:25
22:05
22:25
a)
Write down the time of the earliest bus that Josie can catch.
b) How long will Josie have to wait at the bus stop for, if she catches the
earliest possible bus?

Answers

Answer:

22:25

She will wait for 15 min

Step-by-step explanation:

9:55 is 21:55 in 24h time

after 15 min it will be 22:10

the closest time will be 22:25

25-10 is 15

15 min waiting

A pair of jeans and a T-shirt cost $50. If two such T-shirts cost $1 more than the pair of jeans, find the cost of the pair of jeans.

(I need the answer ASAP)

Answers

Let’s make variables!
J = Jeans and T = T-shirts
J + T = 50
2T = J + 1
For first equation get T alone
T = 50 - J
2(50 - J) = J + 1
100 - 2J = J + 1
99 = 3J, J = 33
Solution: Pair of Jeans cost $33

248 students are going on a field trip to the Museum of Natural History. They need to be split into 31 groups. How many students will be in each group?

Answers

Answer:

* There will be 8 students in each group.

Step-by-step explanation:

248 divided by 31 equals 8. Therefore, my answer is correct.

Answer:

8 students in each group.

Step-by-step explanation:

248÷31=8

What is the length of line AD?

Answers

1

Step-by-step explanation:

i am very beautiful yes i know it

The dimensions of a
rectangular piece of paper
are 10.5 inches and 10
inches. Ben folded the piece
of paper along its diagonal.
Find the length of the
diagonal in inches.

Answers

Answer: 12

Step-by-step explanation: you need to look at the paper

6. If f(x) = -2x2 + x - 5, what is f(3)?

Answers

Answer:

If you use the formula it should help for your answer.

Step-by-step explanation:

3s+8s2+9s–3+3+8s please ans this quickk

Answers

Answer: 28s + 2

You combine all the numbers that have 2 and get 28 (3s+8s+8s+9s) and combine the regular numbers and it’s gonna be 2 (2+3=5-3=2)

Eric bought two jars of peppers and six jars of pickles for $49. Andrew bought three jars of peppers and 5 jars of pickles for $47.50. Find the cost of a jar of pickles.

Answers

Answer:

one jar of pickles is $1.50, 49-47.50 =1.50

Step-by-step explanation:

15.00 + 1.75x = 7.50 + 2.25

Answers

I believe it’s X=+15 sorry if I’m wrong

1 + 1 = ? help now please asap!

Answers

Question:

1 + 1 = ? help now please asap!

Answer:

1 + 1 = 2

hope this helps :)

What is the value of x rounded to the nearest hundredth?
ps this is a pythlly therom




Question 2 options:

68


92


54


75

Answers

Step-by-step explanation:

60x60+32x32=4624

✓4624

68

hii please help i’ll give brainliest!!

Answers

The answer is c, because no one is strong enough to push down a wall

Answer:

the thrid answer

Step-by-step explanation:

(6x^2+3x) + (x^2 - 4x -3)
plz help

Answers

Answer:

7x^2 - x -3

Step-by-step explanation:

(6x^2+3x) + (x^2 - 4x -3)

We have to use distributive property first to get rid of the parenthesis, so you simply have to multiply the positive (+) symbol with everything inside the second set of parenthesis.

+ * x^2 = x^2

+ * -4x = -4x

+ * -3 = -3

Now, we rewrite the equation which is

6x^2 + 3x + x^2 - 4x -3

Now you simply combine like terms.

6x^2 + x^2 = 7x^2

3x-4x = -x

The answer will be

7x^2 - x -3

Hope this helps!!

-Ketifa

(Can I get brainliest?)

Use the figure and information below to find the length of each line segment
7th grade math please help me

Answers

Answer:

7. 6

8. 6

9. 12

10. 6

11. 12

12. 24

Step-by-step explanation:

The length of each segment is AB = 6, BC = 6, AC = 12, CD = 6, CE = 12, AE = 24

What is the length?

It is the measure of distance between the two points is called a length.

D is the mid-point of CE. Then

CD = DE = 6

B is the mid-point of AC. Then

AB = BC

C is the mid-point of AE. Then

        AC = CE

AB + BC =  CD + DE

AB + AB = CD + CD

     2 AB = 2 CD

         AB = CD

         AB = 6

Then

AB = 6

BC = AB = 6

AC = AB + BC = 6 + 6 = 12

CD = DE = 6

CE = CD + DE = 6 + 6 = 12

AE = AB + BC + CD + DE = 6 + 6 + 6 + 6 = 24

More about the distance link is given below.

https://brainly.com/question/989117

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