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 WORTH 20 Point A is on line EB between points E and B, and ray A F forms adjacent angles EAF with a measure of 3x and FAB with a measure of 2x. Solve for x. X = 5° x = 18° x = 30° x = 36°

Answers

Answer:

x = 36

Step-by-step explanation:

Assuming that line EAF + FAB = 180, we can substitute the lines with their x values to become 3x + 2x = 180 = 5x

Then x = 180/5 = 36

The measure of x for the given angles is 36° so option (D) will be correct.

What is an angle?

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The angle is the measurement of the angular distance.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

Given that A is in between of line joining by EB so EAB is a straight line and ∠EAB = 180°.

Now,

∠EAB = 180°

∠EAF + ∠FAB = 180°

3x + 2x = 180

5x = 180

x = 36°

Hence "The measure of x for the given angles is 36°".

For more about the angle,

brainly.com/question/13954458

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Sam wants to create a linear function and an exponential function, both of which have a y-intercept
of (0,8) and pass through the point (9,512). Help Sam create his functions.

Answers

Step-by-step explanation:

Exponential function is

[tex]y = a \times {b}^{x} [/tex]

where a is the y intercept, or the initial value.

b is the constant rate.

Since a is the y intercept, this means a is 8. So we have

[tex]y = 8 \times {b}^{x} [/tex]

Now, plug in 9 for x. 512 for y to find b.

[tex]512 = 8 \times {b}^{9} [/tex]

[tex]64 = {b}^{9} [/tex]

[tex] \sqrt[9]{64} = b[/tex]

[tex]64 {}^{ \frac{1}{9} } = b[/tex]

[tex]4 {}^{ \frac{1}{3} } = b[/tex]

[tex] \sqrt[3]{4} = b[/tex]

So the equation is

[tex]y = 8( \sqrt[3]{4} ) {}^{x} [/tex]

A teacher claims that his coffee cools to a temperature of 100 degrees Fahrenheit in 5 minutes after he brews it at home in his single-cup coffee brewer. To further investigate this claim, the teacher measures how long it takes for his coffee to cool to 100 degrees for each of the next 30 days. He would like to carry out a t-test for one mean to determine if there is convincing evidence that the true mean amount of time it takes for his coffee to cool to 100 degrees is less than 5 minutes. Are the conditions for inference met?

No, the random condition is not met.
No, the 10% condition is not met.
No, the Normal/large sample condition is not met.
Yes, all conditions for inference are met.

Answers

The answer is: No, the random condition is not met.

please help? , no decimals please,please explain to see picture. ​

Answers

Answer:

[tex]8x\sqrt{3xy[/tex]

Step-by-step explanation:

Write an addition equation or a subtraction equation (your choice!) to describe the diagram. ​

Answers

Answer:

-9 - 2 = -11

Step-by-step explanation:

A video game developer wants to know how long it takes people to finish playing their new game. They surveyed a random sample of 13 players and asked how long it took them (in minutes).


Estimate the median time it will take all layers to finish this game

Answers

Based on the data, the median time it takes players to complete the game is 1148 minutes.

What is the median?

It is the mathematical value that is the middle when values are sorted.

How to find the median time?Organize the values

457 - 548- 866 - 952 - 976 - 1037 - 1148 - 1235 - 1245- 1431-1486 - 1759 - 1864

Identify the value of the middle

Considering there are 13 values, the value of the middle is the value number 7 or 1148.

Note: This question is incomplete because the data is missing, below I attached the missing section,

Learn more about median time in: https://brainly.com/question/7493103

HELP PLEASE IT'S DUE IN AN HOUR, I also need to understand it for future qs

Answers

Answer:

a)5.83cm

Step-by-step explanation:

You have to do 3² × 5² to get the length of AC (the diagonal length of the base of the rectangle) which is √70 or 5.83 rounded to 2 d.p.

not sure about the 2nd bit, but you may have to use trigonometry

How would I reduce this to lowest terms?

Answers

Since "a" is on the top and the bottom, you can simplify that

[tex]\frac{a^2b^2}{ac}[/tex]

[tex]\frac{ab^2}{c}[/tex]

constitutional amendment that has significantly changed the structure of congress as written in the original constitution

Answers

this isn’t the correct way because

yo can i get a hand here just so i dont get it wrong

Answers

ALGEBRAIC EXPRESSIONS

[tex]__________________________[/tex]

B. 72 IS THE QUOTIENT OF THE EXPRESSION72 is an addend in the expression and not the quotient.

2. What is the measure of angley?
(2 pts.)
52°
to

Answers

Answer: the answer is 55 degrees

Step-by-step explanation:


You draw a rectangular picture that is 8.5 inches wide. It is 3 times as long as it is wide. What
is the area of the picture?


Answers

Answer: 216.75 in^2

Step-by-step explanation: area = 8.5 x (8.5x3)

8.5 x25.5

Which expression is equivalent to 7(4x + 2y)?
A) 42xy
B) 28x + 2y
C) 11x + 2y
D) 28x + 14y

Answers

Answer:

D) 28x + 14y

Step-by-step explanation:

7(4x + 2y)

Step 1: Distribute

(7 × 4x) + (7 × 2y)

Step 2: Simplify

28x + 2y

Answer:

[tex]\Longrightarrow \boxed{\sf{28x+14y}}[/tex]

Step-by-step explanation:

Use a distributive property.

Distributive property:

⇒ A(B+C)=AB+AC

⇒ 7(4x+2y)

Multiply by expanding.

⇒ 7*4x=28x

⇒ 7*2y=14y

Then, rewrite the problem.

⇒ = 28x+14y

Hence, the correct answer is 28x+14y.

I hope this helps you! Let me know if my answer is wrong or not.

Please help!!!

Triangle ABC is similar to triangle PQR
AB = 4cm
PQ=12cm
RQ= 16.5 cm
AC = xcm
PR= ycm

(a) Calculate the length of BC


(b) Write down an expression for y in terms of x

Check the picture

Answers

Answer:

5.5

3y = x

Step-by-step explanation:

→ Find the scale factor enlargement

12 ÷ 4 = 3

→ Divide 16.5 by 3

5.5

→ Write SF in terms of x and y

3y = x

The Length of BC is 5.5 cm and equation for y in terms of x is y = 3x

What are similarity in triangles?

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. If two or more figures have the same shape, but their sizes are different, then such objects are called similar figures.

According to question

Triangle ABC ≅ triangle PQR  

where,

AB = 4cm

PQ=12cm

RQ= 16.5 cm

AC = xcm

PR= ycm

According to the similarity rule

the same ratio of corresponding sides

therefore,

[tex]\frac{AB}{PQ} = \frac{BC}{QR} = \frac{AC}{PR} \\[/tex]

(a) Calculate the length of BC

[tex]\frac{AB}{PQ} = \frac{BC}{QR}[/tex]

⇒ [tex]\frac{4}{12} = \frac{BC}{16.5}[/tex]

⇒ [tex]\frac{1}{3} = \frac{BC}{16.5}[/tex]

⇒ BC = 5.5 cm

 (b) Write down an expression for y in terms of x

we know  ,  [tex]\frac{AB}{PQ} = \frac{AC}{PR} \\[/tex]

⇒ [tex]\frac{4}{12} = \frac{x}{y} \\[/tex]

⇒ [tex]\frac{1}{3} = \frac{x}{y} \\[/tex]

⇒ [tex]y=3x[/tex]

Hence, Length of BC is 5.5 cm and equation for y = 3x

To know more about similarity in triangles  here :

https://brainly.com/question/20502441

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Find the measure of the missing angle

Answers

The two angles form a straight line and need to equal 180 degrees


180 - 61 = 119

The missing angle is 119 degrees

the ratio of 20 paise to Rupees 1 is option 1:5, 2:1 , 20:1, 2:3​

Answers

Answer:

1:5

Step-by-step explanation:

divide by 20 on both sides, 5 : 1.

Find the gradients of lines A and B.​

Answers

Answer:

A=4

B=-2

Step-by-step explanation:

the gradient to B is a negative coz the line is sloping downwards

Answer:

m (A) = 4

m (B) = - 2

Step-by-step explanation:

choose any 2 coordinates on line A to use it in the formulae

no need to do so for line B because the y-int and x-int both are clear.

What is the least common multiple? 46 and 12?​

Answers

Answer:

2

Step-by-step explanation:

multiples of 12: 1, 2, 3, 4, 6, 12 (we don't use 1 in LCM)

Start with 2: 46/2 = 23, so the least common multiple is 2

what is 698 352 nearest to 1000

Answers

Answer: 698352.000

698352 rounded to the nearest 1000 is 698352.000

(PLEASE HELP ASAP!! 50 POINTS! question in the image)

Answers

ANSWER: 8x^4 +64x^3 + 98x^2 +30x


Work in image.


what is the perimeter ?

Answers

Step-by-step explanation:

the outer left side is also 50 ft.

in inner (upper) left side is also 13 ft.

the bottom line is 10+20+11 = 41 ft

this is all possible because all the angles are clearly right angles (90°).

so, the perimeter is

2×(10+20+11) + 2×50 + 2×13 = 82 + 100 + 26 = 208 ft

Graph the line that represents the equation .
y = -2/3 x + 1

i really need ive tried multiple times and got it wrong every time

Answers

I would try Desmond graphing calculator it helps a lot. Or try putting a point at 1 on the y axis and then from there go over 2 negatively and up three

A video game map had a total area of 16 square meters. What are two numbers that could represent the length and the width of the map?

Answers

Answer:

4 and 4

Step-by-step explanation:

4 times 4 is 16 which would equal the area.

Find area of shaded region.

Answers

area of shaded region = 1/4 of the circle area - triangle area

circle area = pi x r² = 3,14 x 2² = 12,56 m²

so 1/4 circle area = 12,56 : 4 = 3,14 cm²

and

triangle area = 1/2 x 2 x 2 = 2 m²

=> area of shaded region = 1,14 cm²

How can I know when a function is unfunctional?

Answers

Answer

When a input uses two outputs, say we have

5,6

5,8

3,4

6,2

9,1

Notice how 5 uses two instead of one meaning the function is unfunctional

Step-by-step explanation:

The area of a circular fountain is 121π square feet.
What is the diameter of the fountain?

Answers

Answer:

22 feet

Step-by-step explanation:

The area of a circle is π · r².

So, step one is to figure out the radius, so taking that equation, we can say π · r² = 121π.

Divide both sides by π to get r² = 121

Then, you take the square root of both sides to leave r = 11.

The diameter is twice as long as the radius, so multiply 11 · 2 to get 22.

The diameter is 22 feet long.

Order these from least to greatest 69/10 , 6.99, 7.927, 6 8/9

Answers

Answer:

6 8/9 , 69/10 , 6.99 , 7.927

Step-by-step explanation:

[tex]\frac{69}{10} = 6.9[/tex]

[tex]6\frac{8}{9} = 6.8[/tex]

The Chen family drove 345.6 miles on their vacation. They drove the same amount each day of the the 3 days. How many miles did they drive each day?

_____ miles

Answers

Answer:

115.2

Step-by-step explanation:

Take 345.6 miles and divide it by 3 getting your answer. Have a great day!

solve pls brainliest

Answers

Answer:

y=3

Step-by-step explanation:

12y-4y=8y

8y=24

÷8. ÷8

y=3

The expression 0.09x+(x−30) models the final price of a bicycle with an instant rebate in a state that charges a sales tax. The tax is on the original price.

Which expression represents the amount of tax that is paid on the bicycle?

Answers

ANSWER

I believe that the amount of the instant rebate is $30.  X represents the price of the bike, and 0.09 is the sales tax.

So if the bike cost $100:

0.09(100) + (100-30) = 9 + 70 = $79

Although I think I would want them to tax the bike after the instant rebate and not on the original price.

If I'm wrong about the instant rebate then it would be 1.09x-30.  Hope this helps.

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