Write the equation of the parabola in vertex form.


Vertex: (−4,6); Point: (−2,−2)

Answers

Answer 1

Answer:

y = - 2(x + 4)² + 6

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (- 4, 6 ) , thus

y = a(x - (- 4) )² + 6 , that is

y = a(x + 4)² + 6

To find a substitute (- 2, - 2) into the equation

- 2 = a(- 2 + 4)² + 6 ( subtract 6 from both sides )

- 8 = a(2)² = 4a ( divide both sides by 4 )

- 2 = a , thus

y = - 2(x + 4)² + 6 ← equation in vertex form


Related Questions

Which table represents a function?

Answers

Answer:

The table that starts with (-3, -1)

Step-by-step explanation:

For a table to represent a function the x value has to be different number. Such as, the other tables one has two -5, two -2, two -4 and etc. Do you get it

Answer: the first box

-3       -1

0         0

-2         -1

8          1

Step-by-step explanation:  the x value can not repet it self but the y value can

1.

p: you pass the class

q: you go to the next grade

p -> ~q:_______________________________



~p->~q:_______________________________

Answers

Answer:

P is you pass the class, so it's the hypothesis in the conditional. And Q is the conclusion, which ic you got to the next grade.

Step-by-step explanation:

In order to got to the next grade, you need to pass the class.

or

If you pass the class, you go to the next grade.

4. Suppose the the function f(x) = 5x + 7
represents the cost to play x rounds of
golf at the local mini-golf attraction. If you
have $20, how much more money do
you need to play 3 rounds of golf?
A. $22
C. $2
B. $15
D. $5

Answers

Answer:

c

Step-by-step explanation:

c

help would be greatly appreciated!!!​

Answers

Answer:

m of 2=36

Step-by-step explanation:

You see that square box at the bottom of the angle? That means that both angles are equal to 90 degrees. so if you have the measure of 1 which is 54 you can set up a simple equation and solve it

90=54 + x    which would equal 36

hope this helps :)

what is (3,0) reflected on the y-axis

Answers

Reflecting across the y axis, the x value becomes opposite and the y value remains the same.

(3,0) becomes (-3,0)

Answer:

(-3, 0)

Step-by-step explanation:

There is the same amount of units from either side of the y-axis to the points.

6x - 15 = 3 (2x-6) + 3

Answers

Answer:

hope this helps :)

Step-by-step explanation:

5(x – 10) = 30 – 15x
Solve

Answers

Answer:

x=4

Step-by-step explanation:

5(x-10) = 30- 15x

5x - 50= 30 - 15x

+15x              +15x

20x - 50 = 30

       +50    +50

20x = 80

/20     /20

x = 4

Hope this helps!

Convert 8 miles into kilometers. Round your answer to the nearest tenth.

Answers

the answer to your question is 12.9

8 miles is equal to 12.9 kilometers .

Given,

Convert 8 miles into kilometers  .

Now,

From the metric system of unit conversion table we see that;

1 kilometer = 1000 meters (m)

1 meter = 100 centimeters (cm)

1 centimeter = 10 millimeters (mm)

Here we need the conversion factor that includes miles,

So according to the table 1 mile is equal to 1.609 kilometers  .

Then,

8 miles will be equal to:
8*1.609

= 12.9 kilometers  .

Hence the value of 8 miles in km is equal to 12.9 kilometers .

Know more about conversion,

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Determining the Value of the Slope from a Table
A 2-column table with 5 rows. Column 1 is labeled x with entries 1000, 1000, 1000, 1000, 1000. Column 2 is labeled y with entries 20, 23, 26, 29, 32.

What can you conclude about the slope of the values in the table? Check all that apply.
The slope is 3.
The slope is 0.
The slope is undefined.
The graph will be a horizontal line.
The graph will be a vertical line.
The graph will have a line with a positive slope.

Answers

Answer:

3 and 5

Step-by-step explanation:

Hope this helped :)

I did the same assignment and it was right!

Answer:

here is the answer

Step-by-step explanation:

all you need is in the photo ​

Answers

Answer:

slope is -1, y intercept is 5

Step-by-step explanation:

slope formula is y1-y2 over x1-x2

plug in formula

u get the slope is -1

Answers:

Slope = 4

Y intercept = 5

======================================================

Explanation:

Start at the point (-1,1) which is one point on the line. Then move up 4 units and to the right 1 unit to get to (0,5). This is another point on the line.

Therefore the slope = rise/run = 4/1 = 4.

You could also use the slope formula m = (y2-y1)/(x2-x1)

---------------

The y intercept is 5 since the line crosses the y axis at this location. More specifically this is the point (0,5). For any y intercept, x = 0.

The equation of this line in slope intercept form is y = 4x+5. Compare it to y = mx+b and we have m = 4 as the slope and b = 5 as the y intercept.

PLEASE HELP ME WITH THIS LAST QUESTION PLEASE

Answers

Answer:

Is the answer -3x-y. If it is thank me plz.

Step-by-step explanation:

Need help ASAP Tysm

Answers

Answer:

16.81

Step-by-step explanation:

4.1x4.1=16.81

The correct answer will be B

6-(666+987889879878)

Answers

Answer:

−987889880538

Step-by-step explanation:

Answer:

-987889880538

Step-by-step explanation:

ez

Part D
Compare your answers in parts B and C. Did your predictions for the coordinates of the reflected images match the actual results? Why or why

Answers

Answer/Step-by-step explanation:

Yes, it did because the coordinates of the other polygons would be a direct opposite of polygon ABCD depending on what line it reflects off of. If it reflects off of the y-axis then they would be the same coordinates, just that the X values of the coordinates would now be positive, for the reflection of the x-axis it is also the same except that now the x value would now stay negative while the y values would now be positive. For y=x, it is different because now the X, and Y place values now switch (for example, (-3,-2) would now be (-2,-3)). For y=-x, the place values would both switch, and now be positive.

PS;  PLATO does not have an answer this is my personal answer since I am also on this assignment.

Sorry if this response is late! Hope you did well! :)

The coordinates of the reflected images match the actual results because of the following reason.

What is coordinate?

Coordinates are two numbers (Cartesian coordinates), or sometimes a letter and a number, that locate a specific point on a grid, known as a coordinate plane. A coordinate plane has four quadrants and two axes: the x axis (horizontal) and y axis (vertical).

Yes, because the coordinates of the other polygons will be in opposite of polygon ABCD depends on what line it reflects off .

Suppose if it reflects off of on the y-axis then the coordinates will be same, only the x- coordinate will be positive.

and if the reflection of the x-axis, the coordinate will be same only the y- coordinate will be negative and the x- coordinate remain positive.

but, For y=x it is different because now the both the x- coordinate and the y- coordinate will be switched with their sign.

Learn more about coordinate here:

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Raul has 50 coupon books to sell.
The total amount of money Raul will make from selling X coupon books is represented by a function.

f(x)=20x

What is the practical domain of the function?​

Answers

Answer: Domain: {x : 0≤ x ≤50   }

Step-by-step explanation:

Given: The total amount of money Raul will make from selling X coupon books is represented by a function.

[tex]f(x)=20x[/tex]

Domain is the set of x values in a function for which it is defined.

Here, X= Number of coupon books .

Raul has 50 coupon books to sell.

So, 0≤ x ≤50  , as it is possible that non of that book will sell.

Hence, Domain: {x : 0≤ x ≤50   }

What is y= 1/3x+2 equal to as a slope?

Answers

Answer:

The graph below models the value of a $20,000 car t years after it was purchased.

                    Value of Car

A graph titled Value of Car has years  bbhvb ngc,jon the x-axis and Dollars on the y-axis. A line curves down and goes through points (0, 20,000), (4, 10,000), and (14, 2,000).

Which statement best describes why the value of the car is a function of the number of years since it was purchased?

Each car value, y, is associated with exactly one time, t.

Each time, t, is associated with exactly one car value, y.

The rate at which the car decreases in value is not constant.

There is no time, t, at which the value of the car is 0.

Step-by-step explanation:

Consider the equation (x – 4)2 + 3 = 12

Answers

the answer is x= 17/2

Answer:

I'm guessing you're solving for X so

X=  17/2

Step-by-step explanation:

When the light turns green, Mark accelerates straight down the road at 1.8 m/s2 for 8 seconds. What is his final velocity at the end of those 8 seconds?

Answers

Answer:

Mark's final velocity at the end of the 8 seconds is 9.6 m/s

Step-by-step explanation:

The acceleration of mark after the light turns green, a = 1.8 m/s²

The time duration of the motion with the 1.8 m/s² acceleration,  t = 8 seconds

Mark's final velocity at the end of the 8 seconds, v is found using the equation of motion for velocity as follows;

v = u + a × t

Where;

u = The initial velocity = 0 m/s

a = The acceleration = 1.8 m/s²

t = The time in motion = 8 seconds

Substituting gives;

v = 0 + 1.2 × 8 = 9.6

Mark's final velocity at the end of the 8 seconds, v = 9.6 m/s.

Final velocity after 8 second is 64 m/s

Final Velocity of car:

Given:

Acceleration of mark = 8 m/s²

Time taken = 8 second

Find:

Final velocity of mark

Computation:

v = u + at

v = 0 + (8)(8)

v = 64 m/s

Final velocity of mark = 64 m/s

Find out more information about 'Acceleration.'

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Can a line be measured?

Answers

Answer:

yeah .It can be measured

yes, yes i can. things like pencil or normal line.

0.067318 to 2 significant figures

Answers

In two significant figures it is 0.067.

PLEASE HELP ME BY ANSWERING AT LEAST 2 QUESTIONS ITS DUE IN 20 MINUTES

Answers

Answer:

Barry gets 300 first

Cheri gets 30 first

Barry gets 100 first

Representations:

Barry's profit = 5c + 20

Cheri's profit = 2c + 40

Step-by-step explanation:

well Barry's pprofit is

B = 5c + 20

and Cheri's profit is

C = 2c + 40

let's see who will get 300 first:

300 = 5c + 20

280 = 5c

56 = c

300 = 2c + 40

260 = 2c

130 = c

SO for 300 it is Barry who gets it first... same steps for others

I will give 30 points

Jane walks one mile from her house to her grandparents' house. Then she returns home, walking with her grandfather. Her return rate is 70% of her normal walking rate. Let r represent her normal walking rate. Write an expression of the amount of time Jane spends walking.

A. 1/r + 1/0.7r

B. 1/r + 1/70r

C. 1.7r

Answers

Answer:

1.7r

Step-by-step explanation:

There are 366 days in a leap year and 24 hours in a day. How many hours are in a leap year?

Answers

Answer:

8784. is the answer to the question

Answer:

8,784 hours

Step-by-step explanation:

You should come up with an equation. I came up with 366 x 24 = x. 366 is the number of days with 24 being the number of hours.

366 x 24 = 8,784 hours

Find the slope of line:6x+3y=21

Answers

Answer:

-2

Step-by-step explanation:

6x+3y=21

Bring the equation to y=mx+c form

3y=21-6x

y=-2x+7

When comparing, m=-2

Slope m=-2

first, subtract 6x from both sides: 3y= -6x+21
next, divide everything by three: y= -2x + 7, the slope would then be -2 & the y-intercept would be 7

what is the equation of a line parallel to y=3x-2 and goes through the point (-1,1)

Answers

Answer:

y = 3 x − 29

Step-by-step explanation:

First, let's find the slope of the line  

y = 3 x + 2

As the equation is already in slope-intercept form  

y = m x + c

Slope =  3

Let a point  ( x , y )  be on the new line.

By finding the slope again,

y − 1 x − 10 = 3

y − 1 = 3 ( x − 10 )

y − 1 = 3 x − 30

Which can then be converted to different forms:

Standard form:  

3 x − y = 29

Equation form:  

3 x − y−29 = 0

Slope-intercept form:  

y = 3 x − 29

graph{3x-y=29 [-32.3, 47.7, -34.1, 5.9]}

please will give brain

Answers

1)

x=-1 and -3

y=3

2)

x=1 and 4

y=4

3)

x=-3 and 3

y=-9

75 (1+2z) simplified

Answers

First things first... we will do 75 times 1 which equals 75
Second... we will do 75 times 2z which equals 150z
Now we will put the equation together to get 75 + 150z

So you’re answer would be 75 + 150z

I hope this helps you(:

What is the potential energy of a car with a mass of 120kg at the top of a 42
meter hill?

Answers

Answer:

16

Step-by-step explanation:

PLSS!!! HELP ME!!! I WILL MARK U!!!

Answers

Answer:

1.8

Step-by-step explanation:

27 miles per hour

so 27 divided by 15

im pretty sure that’s correct.

is y=5x proportional or non proprtional.

Answers

Answer:

Yes, y=5x is proportional. Hope this helps!

y=5x is proportional
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