what is the equation of the following graph in vertex form

What Is The Equation Of The Following Graph In Vertex Form

Answers

Answer 1

Answer:

y=(x-4)²-4

Step-by-step explanation:

Our x-intercepts are (2,0) and (6,0) so we can state them as expressions and expand:

(x-2)(x-6)=0 [Remember that (2,0) is the solution to x-2=0 just as (6,0) is the solution to x-6=0]

x²-8x+12=0 (Standard Form)

x²-8x+12+4=0+4 (Completing the square)

x²-8x+16=4

(x-4)²=4

(x-4)²-4=0

Therefore, our equation for the graph in vertex form is y=(x-4)²-4


Related Questions

21 and 22 are complementary angles. The measure of Z1 is 45 The measure of Z2 is 3x°. Find the value of x. The figure is not drawn to scale​

Answers

9514 1404 393

Answer:

  x = 15

Step-by-step explanation:

Given:

  ∠1 + ∠2 = 90°

  ∠1 = 45°

  ∠2 = 3x°

Find:

  x

Solution:

  Using the given values in the given equation, we have ...

  45° +3x° = 90°

  15 + x = 30 . . . . . . divide by 3°

  x = 15 . . . . . . . . . . . subtract 15

Turtles and tortoises have long life spans. A tortoise can live as long as 150 years. There are 365 days in one year. About how many days could a tortoise live? ​

Answers

Answer:

54,750 days

you just multiply 150 by 365

At the beginning of the year, Evelyn had $30 in savings and saved an additional $12 each week thereafter. Cooper started the year with $75 and saved $7 every week. Let E E represent the amount of money Evelyn has saved t t weeks after the beginning of the year and let C C represent the amount of money Cooper has saved t t weeks after the beginning of the year. Write an equation for each situation, in terms of t , t, and determine the interval of time when Evelyn has more in savings than Cooper.

Answers

Answer:

E=12t+30 C=7t+75

Evelyn has more in savings than Cooper when  t > 9 weeks.Step-by-step explanation:

The graph shows the distance traveled by an Olympic-level sprinter over time during a race.
Find the slope of the line, and complete the sentences below.

100 meter race graph of a diagonal line on a coordinate plane going up and to the right with Time in seconds on the x axis and Distance in meters on the y axis. The line begins at the origin and passes through the point 2 comma 20.

Answers

9514 1404 393

Answer:

slope: 10 m/srepresents speed in meters per second

Step-by-step explanation:

The slope is the change in the quantity on the vertical scale, divided by the corresponding change in the quantity on the horizontal scale.

Here, the line goes from 0 to 100 meters on the vertical scale, corresponding to a change from 0 to 10 seconds on the horizontal scale. So, the slope is ...

  m = (100 m)/(10 s) = 10 m/s . . . . slope of the line

The ratio of distance to time is given the name "speed", so ...

  the slope represents the sprinter's speed in meters per second.

A mountain climber started at 150 feet below sea level. What would he need to climb to so that his starting spot and his ending spot were opposites?

Answers

Answer:

Your answer is 24.333.

Step-by-step explanation:

..If you round this, it would be 24 or 24.3. you get this answer by doing 3650 divided by 150.

BRAINLEST TO WHOEVER GETS THIS CORRECT
Consider matrix V.

Answers

Step-by-step explanation:

The inverse of matrix V the one in answer B

-9(5x+10) show work please

Answers

Answer:

-45x-90

Step-by-step explanation:

-9*5x=-45

-9*10=-90

What are the growth/decay factors and rates for the following functions?
a. y=1000(1.03)x
b. f(x)=200(0.8)x

Answers

Answer:

gududu0hxosjvacsivhxhvsaiojvxsaxisahvhvhxsaixjs

Did I do this right? if I didn't get it right can you help me? Thank you!​

Answers

Answer:

the only thing is that your dot should be an open circle because 11 is not included in the answer. If it was less than or equal too, you have a closed dot, but since its just less than its an open dot. I like to think of it like if its closed dot its included, and if its an open dot it falls through the hole and is not included. I don't know if that makes sense, but you've got it otherwise.

The order is for 500 mL D5 1/2 NaCl to run in 6 hours. Set calibration is 15 gtt/mL calculate the flow rate in mL/hrs

Answers

Answer:

16 is correct

Step-by-step explanation:

PLEASE HELP ASAPPPP!!

question: write in standard form.

2x^2+x^3-3+4x^5

Answers

Answer:

+4X^5+X^3+2X^2-3

Step-by-step explanation:

Hope this helps :*

An animal shelter houses rabbits​, cats​, and dogs. There are 160 animals at the shelter. Of the​ animals,
1
5 are rabbits.
7
8 of the remaining animals are cats. How many of the animals are dogs​? Show your work.

Answers

Answer:

67

Step-by-step explanation:

solve for x. (16x + 23)°

Answers

7 is the correct answer

Parallelogram ABCD is a rhombus. Side BC = 5cm and segment AO = 3.8cm
What is the area of ABCD?
What is the length of diagonal BD?

Answers

The area of the rhombus ABCD is 24.7 cm².

The length of diagonal BD is 6.5 cm.

What is the area of a rhombus?

A rhombus have equal four sides and the diagonals of the rhombus divides it into four equal right triangles. The area of the rhombus is the sum of individual areas of the four right triangles.

The hypotenuse side of the right triangle = side of the rhombus = BC = 5 cm

One of the legs of the right triangle = AO = OC = 3.8 cmLet the second leg of the right triangle = OB = OD =  x

The second leg of the right triangle is calculated as follows;

[tex]x^2 + 3.8^2 = 5^2\\\\ x^2 = 5^2 - 3.8^2 \\\\ x^2 = 10.56\\\\ x = \sqrt{10.56} \\\\ x = 3.25 \ cm[/tex]

The area of one right triangle of the rhombus is calculated as follows;

[tex]A = \frac{1}{2} (3.8)(3.25)[/tex]

The area of the rhombus ABCD is calculated as follows;

[tex]A = 4 \times \frac{1}{2} (3.8)(3.25)\\\\ A = 24.7 \ cm^2[/tex]

The length of diagonal BD is calculated as follows;

[tex]BD = OB \ + \ OD\\\\ BD = x \ + \ x\\\\ BD = 3.25 \ cm \ + \ 3.25 \ cm\\\\ BD = 6.5 \ cm[/tex]

Learn more about area of rhombus here: https://brainly.com/question/2456096

a line has a slope of 9/5 if one of the points on the line is (-10, -16), which of the following could be another point on the line?​

Answers

Answer:

(0,2) is the answer - Option C.

Step-by-step explanation:

Equation of a line:

The equation of a line, in point-slope form, is given by:

[tex]y - y_0 = m(x - x_0)[/tex]

In which m is the slope and the point is [tex](x_0,y_0)[/tex]

Slope of 9/5 if one of the points on the line is (-10, -16)

This means that [tex]m = \frac{9}{5}, (x_0,y_0) = (-10,-16)[/tex]. So

[tex]y - y_0 = m(x - x_0)[/tex]

[tex]y - (-16) = \frac{9}{5}(x - (-10))[/tex]

[tex]y + 16 = \frac{9}{5}(x + 10)[/tex]

Which of the following could be another point on the line?​

We have to find a point for values of x and y which gives us an identity. So

Option A:

x = -5, y = -6

Lets see

[tex]-6 + 16 = \frac{9}{5}(-5+10)[/tex]

[tex]10 = \frac{9*5}{5}[/tex]

[tex]10 = 9[/tex] -> False

So this is not the answer.

Option B:

x = 4, y = 11

[tex]11 + 16 = \frac{9}{5}(4 + 10)[/tex]

[tex]27 = 9*14/5[/tex]

False

Option C:

x = 0, y = 2

[tex]2 + 16 = \frac{9}{5}(x+10)[/tex]

[tex]\frac{90}{5} = 18[/tex]

[tex]18 = 18[/tex]

True, so (0,2) is the answer - Option C.

What is the length of BE?
14 units
17 units
27 units
34 units

Answers

Answer:

you have to give is more than that

Step-by-step explanation:

mb 27

Answer:

the length of BE is 27 units

Step-by-step explanation:

find the area of the figure 4m 7m​

Answers

Answer:

Step-by-step explanation:

where is the picture?!

Answer:

28m squared

Step-by-step explanation:

7*4 is 28

PLEASE HELP I NEED THIS NOW, AND IS POSSIBLE A EXPLICATION

Answers

Answer:

you forgot the pic

Step-by-step explanation:

Round yo The nearest ten 834,692.
Help me please!!

Answers

The answer should be 834, 690

hope this helps!

834,692

If the number is less than 5, you keep the the 90 the same.

If the number is more than 5, the new number would be 834,700.

The answer is

834,690

How is x = 5 mathematically different from x > 5?​

Answers

Answer:

in x>5 x is larger than 5

Step-by-step explanation:

x=5 means x is equal to 5

x>5 means x is greater than 5

Answer:

X=5 means that the unknown variable in the equation is equal to the number 5, while x > 5 means that the unknown variable is larger then the number 5.

Step-by-step explanation:

A circle has a radius of 5 centimeters. What is its area?

Answers

Answer:

[tex] \bf \huge 78.5 \: c.m.[/tex]

Step-by-step explanation:

Given that :

A circle has a radius of 5 centimeters.

to find :

What is its area?

formulas used :

A = πr²

where,

A = areaπ = 22/7 r = radius

explanation :

finding the area of circle

⟼ A = πr²

⟼ A = 22/7 × 5²

⟼ A = 22/7 × 5 × 5

⟼ A = 3•14 × 5 × 5

⟼ A = 3•14 × 25

⟼ A = 78•5

the area of circle is 78•5 centimeters

the area is 78.5 cm because the formula is A=3.14r^2 or area=3.14•5^2

Questlon 3 of 10
Which term describes the distance from the center of a circle to any point on
the circle?
A. Diameter
B. Center
C. Circumference
D. Radius
SUBMIT

Answers

the correct answer is D radius

Radius.

Step-by-step explanation:

Find the area of a sector, whose perimeter is 40 cm, and the radius is 8 cm.

Answers

Answer:

96 cm²

Step-by-step explanation:

From the question,

s = (2πr∅/360)+2r................. Equation 1

Where s = Perimeter of a sector, r = radius, ∅ = angle subtend by the sector at the center of the circle.

Given: s = 40 cm, r = 8 cm

Constant : π = 3.14.

Substitute into equation 1 and solve for ∅

40 = (2×8×3.14×∅/360)+(2×8)

40 = (50.24∅/360)+16

40-16 = 50.24∅/360

50.24∅/360 = 24

50.24∅ = 24×360

50.24∅ = 8640

∅ = 8640/50.24

∅ = 171.97°

Area of a sector (A') = ∅πr²/360

A' = 171.97×3.14×8²/360

A' = 95.997

A' ≈ 96 cm²

What is 5/6 of 1/2 on a number line

Answers

Answer:

5/12

Step-by-step explanation:

5/6 of 1/2 is basically 5/6 times 1/12 which is 5/12.

A BluRay disc normally costs $22. This week it is on sale for 25% off the original price. How much money is discounted from the original price of the BluRay disc?

Answers

Answer:

$7.33

Step-by-step explanation:

22=3/4x

22/.75=22*4/3=29.3333333

$29.33-$22=$7.33

A discounted from the original price of the Blu-ray disc will be $5.5.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

Cost of a Blu-ray disc = $22

The sale on the cost of a Blu- ray = 25%

Now,

Find the discounted price of a Blu-ray as;

Discounted price = 25% of $22

                           = 25 x $22 / 100

                           = $550/100

                           = $5.5

Thus, A discounted from the original price of the Blu-ray disc will be $5.5.

Learn more about the percentage visit:

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Find the perimeter of the figure.

Answers

Perimeter
5+5+7+16+7+11 = 51m

Find the circumference and the area of a circle
with the dimensions listed. Use the value 3.14 for π
,and do not round your answers. Be sure to
include the correct units in your answers.

a) diameter of 3 cm

b) radius of 5 ft

Answers

In response to the question, we may say that As a result, the radius of the circle is 9.42 cm and its area is 7.065 cm sq

What is circle?

A circle seems to be a two-dimensional component that is defined as the collection of all places in a jet that are equidistant from the hub. A circle is typically shown with a capital "O" for the centre and a lower portion "r" for the radius, which represents the distance from the origin to any point on the circle. The formula 2r gives the girth (the distance from the centre of the circle), where (pi) is a proportionality constant about equal to 3.14159. The formula r2 computes the circumference of a circle, which relates to the amount of space inside the circle.

a) 3 cm diameter: The radius (r) of a circle is half its diameter, hence r = 3 cm/2 = 1.5 cm

The formula C = 2r gives the circumference of a circle, where is approximately equivalent to 3.14.

As a result, C = 2 3.14 1.5 cm = 9.42 cm.

The formula A = r2 calculates the area of a circle.

As a result, A = 3.14 (1.5 cm)2 = 7.065 cm sq.

As a result, the radius of the circle is 9.42 cm and its area is 7.065 cm sq

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Dennis Hampton earns a straight com-
mission of 7% on sales of $5,000 or less
and 9% on sales in excess of $5,000. One
week Dennis had a gross pay of $578.
What were his total sales for that week?

Answers

Answer:

Denis's total sales that week were $ 6,422.22.

Step-by-step explanation:

Since Dennis Hampton earns a straight commission of 7% on sales of $ 5,000 or less and 9% on sales in excess of $ 5,000, if one week Dennis had a gross pay of $ 578, to determine what were his total sales for that week the following calculations must be performed:

7 = 578

100 = X

100 x 578/7 = X

57,800 / 7 = X

8,257.14 = X

9 = 578

100 = X

100 x 578/9 = X

57.800 / 9 = X

6,422.22 = X

Therefore, Denis's total sales that week were $ 6,422.22.

find the geometric mean of 9 and 14

Answers

Answer:

foće de moçhò de casà là ocoreatane

6) Identify the slope (6,2) and (6,-5) *

Answers

Use desmo will help you to find the answer
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