Type the correct answer in each box. Use numerals instead of words.
This graph represents a quadratic function. What is the function’s equation written in factored form and in vertex form?

Type The Correct Answer In Each Box. Use Numerals Instead Of Words.This Graph Represents A Quadratic

Answers

Answer 1

Answer:

f(x) = 2x(x - 8)

f(x) = 2(x - 2)² - 8

Step-by-step explanation:

Let the equation of the quadratic function is,

f(x) = a(x - h)² + k

Here, (h, k) is the vertex of the function.

From the graph attached,

Vertex of the parabola → (2, -8)

Therefore, equation of the function will be,

f(x) = a(x - 2)² - 8

Since, the graph passes through origin (0, 0),

f(0) = a(0 - 2)² - 8

0 = 4a - 8

a = 2

Equation of the given parabola will be,

f(x) = 2(x - 2)² - 8

      = 2(x² - 4x + 4) - 8

      = 2x² - 8x + 8 - 8

      = 2x² - 8x

      = 2x(x - 8)

Therefore, factored form of the function will be,

f(x) = 2x(x - 8)


Related Questions

PLZ HELP 50 POINTS Which is the function represented by the table?

A 2-column table with 4 rows. Column 1 is labeled x with entries negative 1, 0, 1, 2. Column 2 is labeled f (x) with entries 4, 5, 6, 7.

Answers

Answer:

the answer is a f(x)= x+5.

Step-by-step explanation:

the answer is f(x)= x+5 because in each row the value increases by 5.

Answer:

a

Step-by-step explanation:

help help help i’ll kiss u

Answers

Answer:

I, J

Step-by-step explanation:

Wren makes some rectangular display boxes. Wren’s first display box is 6 inches long, 9 inches wide, and 4 inches high. What is the volume of the display box?

Answers

Answer:

216

Step-by-step explanation:

V = whl =9 · 4 · 6 = 216

Find ​(a) PQ to the nearest tenth and ​(b) the coordinates of the midpoint of __ pq.

Answers

Answer:

a) 5units

b) (4.5, 4)

Step-by-step explanation:

Let the coordinate of P and Q be P(3, 2) and Q(6, 6)

PQ can be gotten using the distance formula;

PQ =√(6-2)²+(6-3)²

PQ = √4²+3²

PQ =√16+9

PQ =√25

PQ = 5units

Midpoint M is  expressed as;

M(X, Y) = {(x1+x2)/2, y1+y2/2}

X = x1+x2/2

X = 3+6/2

X= 9/2

X = 4.5

Similarly;

Y = y1+y2/2

Y = 2+6/2

Y = 8/2

Y = 4

Hence the midpoint of PQ is (4.5, 4)

1. Find mYX.

50 points if answer.

Answers

Answer:

m<YX=60° is a required answer

Answer:

m<YX=60° is a required answer

Step-by-step explanation:

The answer is the first or last option but I don’t know which one

Answers

Answer:

Third Option

Step-by-step explanation:

The triangles are congruent.

Answer:

the answer is C

Step-by-step explanation:

if you read the story again you will see why

find y when x=-6 if y =15 when x =-5

Answers

Answer:

y = 18

Step-by-step explanation:

15/-5 = y/-6

cross-multiply:

-5y = -90

y = 18

Can someone explain me how to solve this?

Answers

Answer:

X=12

Step-by-step explanation:

since it is an isosceles triangle opposite sides are congruent which means 7x+24=13x-48 you then would need to subtract either the whole numbers or the variables from each side so add 48 on each side it equals to 7x+72=13x then subtract 7x from 13x and you get 72=6x divide both sides 6/6=x, 72/6 Therefore x=12 HOPE that helped mark me brainiest pls

Answer: x = 12

Step-by-step explanation:

There are two triangles. The two vertical lines on the legs at the top indicate that those two sides are congruent or equal to each other. The line down the middle with the right angle box shows that the two triangles share a common side. This would show the two triangles are congruent through Side/Angle/Side. This would indicate that the two sides with equations are equal to each other. That being said, you can setup the equations to equal one another to solve for x:

[tex]7x + 24 = 13x - 48[/tex]

Now, you would just solve this like a normal equation. I would subtract the 7x from both sides a well as add the 48 to both sides. This would result to: [tex]72 = 6x[/tex]

Dividing both sides by 6 would get you:

[tex]x = 12[/tex]

Manny walked around basketball court. The courtis 27m long and 17 m wide. What is perimeter of court

Answers

Answer:

The perimeter of the court is 88 m

Step-by-step explanation:

To find the perimeter:  (27 x 2)+(17 x 2)     length*2 + width*2

Hope this helps :)

A teacher asks five different students to write an equation with a solution of x = 4. The students and their equations are shown below.

Student Adrian Bert Camille Daniel Etsuko Equation 2x + 6 = 2 2x-9 = -1 - 2x + 12 = 4 2(x + 2) = 10 2(x - 10) = -12

Which of the following students correctly wrote an equation with x = 4 as the solution? Select three that apply.

A. Bert
B. Daniel
C. Etsuko
D. Adrian
E. Camille​

Answers

Answer:

I'm assuming the order corresponds the student to the equation. Because of this, the answer is simple:

Bert, Etsuko, and Camille.

Step-by-step explanation:

2x-9=-1, 2x=8, x=4

2(x-10)=-12, x-10=-6, x=4

-2x+12=4, -2x=-8, x=4

The net of a three-dimensional figure is made of 6 rectangles that may or may not be squares. Depending on the
number of rectangles that are squares, which could be the figure? Select three options.
O a cube
a square prism
a square pyramid
O a rectangular prism
a rectangular pyramid

Answers

Answer:

A. a cube

B. a square prism

C. a rectangular prism

Step-by-step explanation:

The net of a given shape is the description of  its three dimensional surfaces  in two dimensional plane. From the given question, the 6 rectangular net of the shape has a condition that: the 6 rectangles may or may not be squares. Thus, the figure could be;

i. a cube

ii. a square

iii. a rectangular prism

The three options above have surfaces that could either be squares or rectangles.

How do you write 1.0x10^-3 in standard form?

Answers

Answer: 1/1000

Step-by-step explanation:

1 * 10^-3 = 1 * 1/10^3 = 1/1000

Answer:

NaN  -12

Step-by-step explanation:

Solve for the length of x

Answers

Answer:

[tex]\boxed {\boxed {\sf x\approx 63.7}}[/tex]

Step-by-step explanation:

This is a right triangle. We know this because there is a small square in the corner representing a 90 degree/right angle. Therefore, we can use the right triangle trigonometry ratios.

sinθ= opposite/hypotensue cosθ= adjacent/hypotenuse tanθ= opposite/adjacent

We are given angle A which measures 37 degrees.

Side BC which measures 48 is opposite angle A and the unknown side, x, is next to or adjacent to angle A.

We should use tangent.

[tex]tan \theta= \frac{opposite}{adjacent}}[/tex]

[tex]tan37= \frac {48}{x}[/tex]

Since we are solving for x, we must isolate the variable. First, cross multiply. Multiply the first numerator and the second denominator, then the first denominator and second numerator.

[tex]\frac {tan37}{1}=\frac {48}{x}[/tex]

[tex]tan37*x=48*1[/tex]

[tex]tan37*x= 48[/tex]

x is being multiplied by the tangent of 37. The inverse of multiplication is division, so we divide both sides by the tangent of 37.

[tex]\frac {tan37 *x}{tan37}=\frac{48}{tan37}[/tex]

[tex]x= \frac{48}{0.7535540501}}[/tex]

[tex]x=63.69815144[/tex]

Even though it is not specified, let's round to the nearest tenths place. The 9 in the hundredth place tells us to round the 6 up to a 7.

[tex]x\approx 63.7[/tex]

The unknown side is approximately 63.7 units long.

Can someone help me pleaseeee

Answers

Answer:

For 20 tickets its 35 dollars

For 50 tickets its 87.50 dollars

For r tickets its 140 dollars

Step-by-step explanation:

AreA of a circle pls help​

Answers

Answer:

28.26[tex]in^{2}[/tex]

Step-by-step explanation:

Given,

Radius of the circle = 3in.

Area = ?

They have told us to use 3.14 for [tex]\pi[/tex]

Area formula = [tex]\pi r^{2}[/tex]

=> 3.14 * 3 * 3

=> 3.14 * 9

=> 28.26[tex]in^{2}[/tex]

Therefore the area of the circle is  28.26[tex]in^{2}[/tex]

Hope it helps :)

Answer:

28.26

Step-by-step explanation:

You want to plug everything in to the equation that you can. It says that pi=3.14, and the radius (aka r) is equal to 3. Therefore when plugging everything in, the equation reads (3.14)(3)^. ^ means squared, its the tiny 2 above the r. when something is squared it means you multiply it by itself 2 times. therefore 3 squared = 3 x 3= 9. After finding out 3^=9, the equation reads (3.14)(9). Now all you have to do is multiply the 2 together which results in 28.26.

What is the value of x?

Answers

Answer:

141°

Step-by-step explanation:

The sum of the internal angles can be calculated using the following formula:

(number of sides - 2) x 180°

This polygon has 7 sides, so (7 - 2) x 180° = 900° total internal angle.

Subtract the other given angles from 900°.

(900 - 131 - 122 - 125 - 148 - 107 - 126)° = 141°

Answer:

x equals 141°

Step-by-step explanation:

The sum of interior angles of this figure is 900°. This was found using the formula (n-2) x 180 where 'n' means number of sides. This figure has 7 sides. So the sum of interior angles would be:-

(7 - 2) x 180°

5 x 180°

= 900°

All the given angles + x gives 900°.

So, to find 'x' we can do the following:-

148° + 125° + 122° + 131° + x° + 126° + 107° = 900°

759 + x = 900

x = 900 - 759

x = 141°

SOLVE FOR X PLEASEE HELP​

Answers

To solve this, you will have to set up your equation as fractions:

X is to 4 as 4 is to 4+3, or 7

X/4 = 4/7

You will then cross multiply

7x = 4•4
7x = 16

Divide.

X = 2.285714...

Round to the nearest hundredth.

2.29

27 miles per gallon 432 miles takes how many gallons

Answers

Answer:

16

Step-by-step explanation:

432/27=16

62X + 310 =
2542 Find X

Answers

Answer:

36

Step-by-step explanation:

62x + 310 = 2542

62x = 2232

x = 36

Answer:

36

Step-by-step explanation:

62x + 310 = 2542

Subtract 310 from both sides

62x = 2,232

Then Divide by 62

x = 36

Enjoy.

Plz help me this is my last one and I’ll mark as brainliesttt!!

Answers

Answer:

That the object is moving

as time goes by the distant goes lower

Step-by-step explanation:

I think

Answer:

the object is moving forward with decreasing speed.

Step-by-step explanation:

NEED HELP ASAP TAKING TEST-On average, a person’s body temperature should be approximately 98.6°F. A doctor would like to test the hypotheses H Subscript 0 Baseline: mu = 98.6 versus H Subscript alpha Baseline: mu not-equals98.6 where μ = the true mean body temperature of all adults. Before conducting the test, the doctor determines that the power of the test to reject the null hypothesis when μ = 98 using α = 0.01 and n = 10 is 0.2474. What combination of sample size and significance level would increase the power of this test the most?

use n = 5, alpha = 0.05
use n = 5, alpha = 0.10
use n = 20, alpha = 0.05
use n = 20, alpha = 0.10

Answers

Answer:

D I think,

Step-by-step explanation:

Help! Solve for the value of x.

Answers

Answer:

x=6 degrees

Step-by-step explanation:

I know that 31+(10x-1)=90. Then I have to subtract 31 from 90 to get 10x -1.

That's 59. I solve for x in the equation 59=10x-1.

That is the same thing as 60=10x, which is also the same as 6=x.

Find the value of x in the triangle shown below.
ac
5

Answers

the value of x is equal to 3

Hi could some PLEASE help me !!!!

Answers

Answer:

3x=78+x-2

Step-by-step explanation:

2x + 2y = -2
3x - 2y = 12
Solve By Elimination
Pls give me the hole equation

Answers

Answer:

x = 2

y = -3

Step-by-step explanation:

2x + 2y = -2, then 2y = -2 - 2x

3x - 2y = 12, then 2y = 3x - 12

so:

-2 - 2x = 3x - 12

add 2x and 12 to each side of the equation:

5x = 10

divide both sides by 5:

x = 2

2y = 3(2) - 12

2y = -6

divide both sides by 2:

y = -3

What is the vertex of the graph of
y = x + 12 -10?

Answers

Answer:

y=x+12-10

Step-by-step explanation:

0=x+12-10

-x=2

x=-2

sorry if the lighting is bad
it's about number lines
no links

Answers

1st graph all the negative & positive numbers

The opposite of 2 is -2 because it's a negative number ( opposite of 2 )

Please help me with this math problem

Answers

Answer:

80.6 m

Step-by-step explanation:

Coordinates of the points P and Q are (0, 0) and (40, 70) respectively.

Length of the shortcut can be found by using distance formula between two points P and Q.

Length of the shortcut

[tex] = \sqrt{ {(40 - 0)}^{2} + {(70 - 0)}^{2} } \\ \\ = \sqrt{ {40}^{2} + {70}^{2} } \\ \\ = \sqrt{1600 + 4900} \\ \\ = \sqrt{6500} \\ \\ = 80.6225775 \\ \\ \approx \: 80.6 \: m[/tex]

Q7. What would be the best next step in solving the following equation for x?

8x - 4 = 10

Answers

Answer:

The next step would be adding -4 to the other side since it would cancel out -4

Step-by-step explanation:


In a cave, a stalactite gets 4 millimeters longer each year. This year it is
72 centimeters
How many years until it is 1 meter long *25 points*

Answers

The number of years it will take until the stalactite is 1 meter long is; 70 years

How to convert units of measurements?

From conversion units, we know that;

1 m = 100 cm

1 cm = 100 m

Current length is given as 72 cm

Thus;

Length after x years = 1 m = 100 cm

Length increase in x years  = 100 -72 = 28 cm

Since 1 cm = 10 mm

Then;

Length increase in x years  in mm = 28 * 10 = 280 mm

Thus;

Length increase in 1 year = 4 mm

Length increase in x years = 4x mm

Then; 4x  = 280

x = 70

Thus, it will take 70 years  until it is 1 meter long.

Read more about Units of Measurement at; https://brainly.com/question/777464

#SPJ1

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