Mathematics High School

PLEASE HELP AND ANSWER CORRECTLY

I know the axis of symmetry but I don't know how to put it in an equation

please review the graph and answer you may use the other answers to help

PLEASE HELP AND ANSWER CORRECTLYI Know The Axis Of Symmetry But I Don't Know How To Put It In An Equationplease
PLEASE HELP AND ANSWER CORRECTLYI Know The Axis Of Symmetry But I Don't Know How To Put It In An Equationplease

Answers

Answer 1

Answer:

standard form:   y = x² - 2x - 8

vertex form:  y = (x − 1)² - 9

factorized form:  y = (x + 2)(x - 4)

Step-by-step explanation:

From inspection of the graph:

Axis of symmetry:  x = 1Vertex = (1, -9)x-intercepts = (-2, 0) and (4, 0)y-intercept = (0, -8)

Standard quadratic form:   y = ax² + b x + c

Vertex form of a quadratic equation:   y = a(x − h)² + k

If a > 0 then the parabola opens upwards

If a < 0 then the parabola opens downwards

(h, k) is the vertex

c is the y-intercept

Inputting the vertex into the vertex form gives:

y = a(x − 1)² - 9

  = a(x² - 2x + 1) - 9

  = ax² - 2ax - 8

Using the x-intercepts to create a quadratic equation:

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

  = a(x² - 2x - 8)

  = ax² - 2ax - 8a

Comparing the y-intercepts:

-8 = -8a  ⇒  a = 1

Therefore,   y = x² - 2x - 8

Related Questions

Please help me with word problems

Answers

Answer:

Step-by-step explanation:

.16x + 22.92 = 25.00

.16x = 2.08

x = 13 yards of ribbon

What is the radius of a circle (rounded to the nearest tenth) that has an area of 48?

Answers

Answer:

3.9

Step-by-step explanation:

Use the formula A = πr^2  (area of a circle = Pi times radius squared)

Plug in what we know:

48 = πr^2  (first, divide 48 by Pi = that would equal 15.27887 continued, round it to the nearest tenth and you would get 15.3)

15.3 = r^2 (now, we find the square root of 15.3, 3.9115 continued, round it to the nearest tenth, and it will be 3.9)

3.9 = radius

The radius of the circle (rounded to the nearest tenth) is 3.1.

What is a circle?

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.

And the general formula of the circle,

(x – h)²+ (y - k)² = r²,

where (h, k) is the center and r is the radius of the circle.

The formula for the area of a circle is A = πr², where A is the area and r is the radius.

We can use this formula to solve for the radius of the circle with an area of 48:

A = πr²

48 = πr²

Dividing both sides by π gives:

r² = 48/π

Taking the square root of both sides gives:

r = √(48/π)

r ≈ 3.1

Therefore, r ≈ 3.1.

To learn more about the circle;

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A sweater that originally cost $40 is on sale for 10 percent off. What is the amount of the discount?
$2
$4
$30
$36

Answers

4 dollars is the discount
$36 is the answer because 10% of 40 is 4 and 40-4=36

Is (2, 8) a solution to the equation y = 6x?








Is (2, 8) a solution to the equation y = 6x?















Answers

Answer:

No.

Step-by-step explanation:

Substitute 2 for x and 8 for y in y=6x

8 = 6(2) -> 8 = 12

This is false, so (2,8) is not a solution for y=6x

BRAINLIEST For the fastest answer
Hello I need help on this math question​

Answers

Answer:

23

Step-by-step explanation:

Find the length of a picture frame whose width is 3 inches and whose proportions
are the same as a 9-inch wide by 12-inch long picture frame.

6 inches

Answers

Answer:

correct answer is 9 inches

Step-by-step explanation:

Please help with my math thank you for all that helped!---------------NO LINKS AT ALL

Answers

Answer:

1a) 9+9+9+9=36

b) 9×9=81. Hope this helped

A dessert cart in a restaurant has 12 possible dessert options. In how many ways could your family of 4 select their desserts?

Answers

Using the combination formula, it is found that your family could choose the desserts in 495 ways.

The order in which the desserts are chosen is not important, hence the combination formula is used to solve this question.

What is the combination formula?

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 4 desserts are chosen from a set of 12, hence:

[tex]C_{12,4} = \frac{12!}{4!8!} = 495[/tex]

Your family could choose the desserts in 495 ways.

More can be learned about the combination formula at https://brainly.com/question/25821700

A plane traveling with the wind travels 900 miles in 5 hours. the return trip is against the wind and takes 9 hours. find the rate of the plane in still air and the rate of the wind.

Answers

Using the relation between velocity, distance and time, it is found that:

The rate of the plane in still air is of 140 mph.The rate of the wind is of 40 mph.

What is the relation between velocity, distance and time?

Velocity is distance divided by time, that is:

[tex]v = \frac{d}{t}[/tex]

A plane traveling with the wind travels 900 miles in 5 hours, hence:

[tex]v_a + v_w = \frac{900}{5}[/tex]

[tex]v_a + v_w = 180[/tex]

The return trip is against the wind and takes 9 hours, hence:

[tex]v_a - v_w = \frac{900}{9}[/tex]

[tex]v_a - v_w = 100[/tex]

From the first equation, we have that:

[tex]v_w = 180 - v_a{/tex]

Replacing on the second:

[tex]v_a - v_w = 100[/tex]

[tex]v_a - 180 + v_a = 100[/tex]

[tex]2v_a = 280[/tex]

[tex]v_a = 140[/tex]

[tex]v_w = 180 - 140 = 40{/tex]

Hence:

The rate of the plane in still air is of 140 mph.The rate of the wind is of 40 mph.

More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569

A river 3 m deep and 40 km wide is flowing at the rate of 2 km/h. How much water will fell into the sea in a minute?


Please answer ​

Answers

Answer:

The answer is 4000 m³

Step-by-step explanation:

Given;Depth of river (h) = 3mWidth of river (b) = 40mRate of water flow = 2 km/hour To Find;We have to find out how much water will fall into the sea in a minute.

Now,

Rate of water flow = 2 km/hour

= 2000m/60min

= 100 m per min

Now, Volume of water flowed in 1 min,

= (100/3) × 40 × 3 = 4000m³

Thus, 4000 m³ of water will fall into the sea in a minute.

Katrina is going to paint the front door of her house. What is the area of the door? Use 3.14 for pi.

Answers

So for the rectangle part you work out the area which is length x width. So you do 5*4 =20. To work out the semi circle you need to know the area for a circle. The equation is pi*r^2. So you do 3.14*(2)^2. R is the radius in the equation. The radius is half the diameter so you divide 4 by 2 to get that. So the answer to the semicircle is 12.56. Finally you need to add them together. So the answer is 32.56.

Need help with this plss

Answers

Answer:

LN is a radius

Step-by-step explanation:

a segment drawn from the centre of a circle to a point on the circle is a radius.

Answer:

Radius

Step-by-step explanation:

The radius of a circle is a line segment whose endpoints are the center point of the circle and a point on the circumference of the circle.

Brainliest for the correct answer (If you say anything completely wrong like 98 you're getting reported): What is the area of the figure?

Answers

Answer: 578

Step-by-step explanation:

12 x 7 = 84

13 + 8 + 4 + 10 = 25

25 x 14 = 350

4 x 10 = 40

8 x 13 = 104

84 + 350 + 40 + 104 = 578

1x4-9-5/9+100-0+0x67x0 brianlest first answer

Answers

It’s 850/9
Here’s an explanation as a photo

The Books Galore bookstore made 3 different orders for The Number Book. The ratio
of the amount of books sold and the price of each book is a fixed number. The table
shows their 3 orders.
Book Order Total Cost
212
S665.68
?
S1450.68
375
Part A
What is the number of books ordered for a purchase of $1450.68?
0453
O 456
O 462
465
13 14 15
16
17 18 19 20

Answers

3000 because the statement says

The company warehouse contains 100 pallets of office paper, 25 pallets of photo paper, and 50 pallets of card stock. Each pallet of office paper is valued at $96, each pallet of photo paper is valued at $180, and each pallet of card stock is valued at $110.

Your partner is calculating the inventory value of these papers but thinks there is an error. Where in the calculations below is the error?

Step Description Result
1 Multiply 100 by $96 $ 9,600
2 Multiply 25 by $180 $ 4,500
3 Add $13,100
4 Multiply 50 by $110 $ 5,500
5 Add $18,600
A. Step 1
B. Step 2
C. Step 3
D. Step 4
E. Step 5

Answers

Answer:

c.

Step-by-step explanation:

Question 5
0.2 pts
A pizza shop that sells pízza by the slice will let you buy the left overs of each pizza. Lily
selects 5 pizzas that are 2/3 of a whole pizza.
How many WHOLE pizzas does Lily end up having? Explain the strategy you used to get
your solution
Edit View Insert Format Tools Table
12ptParagraph
В І САУ руту
:

Answers

Answer:3 1/3 pizza in total but 3 whole pizzas

Step-by-step explanation:

if you add 2/3+2/3+2/3+2/3+2/3 you get 3 1/3 but its asking how many whole pizzas their are so 3.

help. list all possible answers

Answers

Hii
Answer:

need more details?

can you help me? please

Answers

Answer:

The answer is B. 600

Step-by-step explanation:

Hope that helps!

Answer:

B. $600.00

Step-by-step explanation:

every 10hrs worked you are getting $120.00 so just add $120.00 every 10 hrs

8/4 x 3/4. I know it is 1.5 but can someone show step by step? I am having trouble.

Answers

[tex]\dfrac 84 \times \dfrac 34\\\\\\=2 \times \dfrac 34\\\\\\=\dfrac 32\\\\\\=1.5[/tex]

Step-by-step explanation:

First divide 8 by 4 and 3 by 4

it will be 2×0.75=1.5

The work shows the long division of 647 ÷ 3.



Find the values of a and b in the long division problem.

a =

b =

So, 647 3 = 215 +

Answers

I'm assuming ratio of a to b is the remainder of the long division.

f(x) = x2. What is g(x)?

Answers

Answer:

D

Step-by-step explanation:

1/2 * x^2 , x =2

1/2 * 4 = 2

(2,2) is a point confirmed

Can someone help with number 28 and explain how todo it

Answers

Base on tangent and secant rule for intersection,

The length of WZ is 12.

The angle of the arc XZ is 39 degrees.

What is tangent of a circle

The tangent to a circle is defined as a straight line that touches the circle at a single point.

Therefore,

WX × WY = WZ²

8 × (10 + 8) = WZ²

8 × 18 = WZ²

WZ² = 144

WZ = √144

WZ = 12

74° = 1 / 2(187 - arc XZ)

74 = 93.5 - arcXZ / 2

-19.5  = - arcXZ / 2

-39 = - arcXZ

-arcXZ = 39°

learn more on tangent here: https://brainly.com/question/12655272

3
Lucas and Zoe visit their mother on April 7th. From then on, Lucas visits his mother every
fifth day and Zoe visits every eighth day. On what date will Lucas and Zoe both next visit their
mother at the same time?

Answers

Answer:

Lucas and Zoe will both next visit their mother on 7th of May at the same time.

Step-by-step explanation:

First, find the first multiple that can be divisible by 5 and 8:

40 is divisible by 5 and 8.

Second, find the days in April and subtract 7 from the days:

April=30 days.

30-7= 23 days.

Finally, subtract 23 from 40 and find it in the next month, which is May:

40-23=17

Therefore, they will both next visit their mother on the 7th of May.

Is this a function someone pls tell me

Answers

Answer:

that is not a function

Step-by-step explanation:

In this triangle, a = 10 cm, b = 24 cm, and c = 26 cm.

What is the area of this triangle?


312 cm²

240 cm²

130 cm²

120 cm²

Answers

120 cm^3

The equation for a triangle: 1/2bh.

1/2(a)(b)

1/2(10)(24)

1/2(240)

120 cm^3

please solve the system of equations below thank you
explain if u can

Answers

First let’s try to cancel out the x
5x + -5x = 0
Add the y and the numbers together
-3y + -2y = -5y
26 + -16 = 10
-5y = 10
y = -2
Use y=-2 in one of the equations
-3(-2) + 5x = 26
6 + 5x = 26
5x = 20
X = 4

So
Y= -2
X= 4

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Check this link out for more help!

2(x-3)+3y when x=5 and y=3

Answers

Step-by-step explanation:

2 ( 5 - 3 ) + 3 ( 3 )

2 × 2 + 9 = 4 + 9 = 13

Andy, Brenda, Carla, and Diego put their names in a hat and pull out two names.
If A represents Andy, B represents Brenda, C represents Carla, and D represents
Diego, what are all the different pairs of names they can pull out?

Answers

Answer:

A and B

A and C

A and D

B and C

B and D

C and D

Please help me, this is do any day now. Tysm! Brainliest to best answer! Find m <1.


(Attachment of the Figure is Displayed Below)


O 57 degrees

O 63 degrees

O 117 degrees

O 123 degrees

Answers

Answer:

1 = 123 degrees

Step-by-step explanation:

A Triangle = 180 degrees

A flat line = 180 degrees

To solve this, we need to figure out the triangle first :)

60 + 63 + t = 180

123 + t = 180

180 - 123 = 57

Now that we know the triangle, we can figure out x :)

180 - 57 = 123

1 = 123

Have an amazing day!!

Please rate and mark brainliest!!

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