Write the equation of the parabola in vertex form.


Vertex: (−3,7); Point: (−2,−5)

Answers

Answer 1

Answer:

y = - 12(x + 3)² + 7

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 ) = (- 3, 7 ), thus

y = a(x - (- 3))² + 7 , that is

y = a(x + 3)² + 7

To find a substitute (- 2, - 5) into the equation

- 5 = a(- 2 + 3)² + 7 ( subtract 7 from both sides )

- 12 = a(1)² = a

y = - 12(x + 3)² + 7 ← equation in vertex form


Related Questions

PLS HELP WITH THIS QUESTION

Answers

C would be the answer to this problem!

Answer:

I think C

Step-by-step explanation:

-f+2+4f=8-3f what is the answer

Answers

Answer:

Answe 6 yeah i know 6

because you due

Answer:

1

Step-by-step explanation:

move like terms to each side

-f+4f+3f=8-2

simplify

6f=6

divide by 6 each side

f=1

Coach Right is looking at his students' running times in order to place students into running groups. He is working on forming a group that matches Jim's pace of 4 miles in 38 minutes. Which of these student times would fit into a group that runs at the exact same rate as Jim?

Answers

Complete question :

Coach Right is looking at his students' running times in order to place students into running groups. He is working on forming a group that matches Jim's pace of 4 miles in 38 minutes. Which of these student times would fit into a group that runs at the exact same rate as Jim? Prax ran 6 miles in 57 minutes. Jose ran 5 miles in 45.5 minutes. Sandy ran 7 miles in 66.5 minutes. Zynep ran 3 miles in 27 minutes

Answer:

Prax and sandy

Step-by-step explanation:

Given that:

Jim's pace = 4 miles in 38 minutes

Jim's rate = Distance covered / time.

Rate = 4 / 38 = 0.1052631 miles /min

Prax ran 6 miles in 57 minutes:

Prax rate : 6miles / 57 mins = 0.1052631

Jose ran 5 miles in 45.5 minutes:

Jose's rate = 5 miles / 45.5 = 0.1098901 miles /

minute

Sandy ran 7 miles in 66.5 minutes:

Sandy's rate = 7 / 66.5 = 0.1052631 miles / minutes

Zynep ran 3 miles in 27 minutes:

Zynep's rate : 3 / 27 = 0.1111111 miles / minutes


If a system of linear equations has the unique solution (2, -3), then its graph consists of what?
•parallel lines
•lines that intersect at a single point
•identical lines
•a y-intercept at -3

Answers

a y-intercept at -3. second number in coordinates are y

Answer: B - lines that intersect at a single point

Step-by-step explanation: Just took a test

8800000 in scientific notation

Answers

Answer:

8.8 x 10 to the power of 6

Step-by-step explanation:

Just the last question thank you!!

Answers

Answer:

6 X 10^21

Step-by-step explanation:

please help please solveit​

Answers

Not 100% sure but I think it’s d

What does the x intercept represent?

Answers

it is the point at which the graph crosses the x-axis; (x,0)

Answer:

the x intercept is the y and x combined together crossing each other

You're flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 201 km south and 194 km east. Mt. Rainier is located approximately 56 km east and 40 km south of JBLM. If you are flying at a constant speed of 800 km/hr, how long after you depart JBLM will you be the closest to Mt. Rainier?

Answers

Answer:

The answer is "0.0846276476".

Step-by-step explanation:

Let all the origin(0,0) of JBLM be  

Let the y-axis be north along with the vector j unit.  

But along the + ve x-axis is east, and all along with the vector unit i.  

And at (194,-201) that undisclosed position is  

Mt. Ris (56,-40) at  

Let the moment it gets close to the Mt. rainier bet.  

Oh, then,  

If we know, the parallel to the direction from the point was its nearest one to a path to a point,

Calculating slope:

[tex]\to m=\frac{y_2-y_1}{x_2-x_1}\\[/tex]

points:  (0,0) and (194,-201)

[tex]\to m=\frac{-201 -0 }{194-0}\\\\\to m=\frac{-201}{194}\\\\\to m=-1.03[/tex]

equation of the line:

[tex]\to y= mx+c\\\\\to y= -1.03\ x+c[/tex]

when the slope is perpendicular= [tex]-\frac{1}{m}[/tex]

                                                     [tex]= - \frac{1}{ -1.03}\\\\= \frac{1}{ 1.03}\\\\= 0.97[/tex]

perpendicular equation:

[tex]\to y-(-40)=0.97 \times (x-56) \\\\\to y+40=0.97 \times (x-56) \\\\[/tex]

Going to solve both of the equations to have the intersection point,  

We get to the intersect level in order to be at

(47.16,-48.5748)

so the distance from origin:

[tex]= \sqrt{(47.16^2+48.5748^2)}\\\\= \sqrt{2224.0656 + 2359.5112}\\\\=\sqrt{4583.5768}\\\\=67.7021181[/tex]

[tex]\to time =\frac{distance }{speed}[/tex]

[tex]= \frac{67.7021181}{800}\\\\= 0.0846276476[/tex]

Your free ride to work ends in 14 days. So, maybe you need a car? How much can you afford to spend? Below is what's available at a dealership near you. Which car should you buy? Before you decide, think about this: You do not have enough money in your account to buy a car. You'll have to finance your purchase. You'll have to put down 25% of the vehicle's selling price as a down payment.

Answers

Step-by-step explanation:

Kindly find attached a screenshot of the price list of some cars from motor 1 .com since you did not provide any in the question, and let us assume it is the same as what is available at a dealership near you.

From the list, since you don't have enough money in your account to buy a car, I will say you should get a 2017 Nissan Versa for $11,990

and 25% of  $11,990 is

(25/100)* 11,990

0.25* 11,990

$2997.5

So you can make a down payment of $2997.5

and pay the remainder of $8992.5 later

I need help answer this Question!
-6+3(-4-2x)>=-16-6x

Answers

There is no solution for that problem....

Leslie gained 5.54 pounds between her third and fourth birthdays. If she weighed 42.48 pounds when on her fourth birthday, how much did she weigh in pounds on her third birthday? Does this mean to add or subtract? Pick the correct operation and solve ONLY that one.

Answers

Answer:

We Subtract

Her weight on her third birthday = 36.94 pounds

Step-by-step explanation:

Does this mean to add or subtract? This means we add. The operation we are using is SUBTRACTION

Leslie GAINED 5.54 pounds between her third and fourth birthdays.

This means she added weight

She weighed 42.48 pounds on her Fourth birthday

Hence, Her weight in her third birthday is:

Third birthday + 5.54 pounds = 42.48

$42.48

Third birthday = 42.48 - 5.54

= 36.94 pounds

Her weight on her third birthday = 36.94 pounds.

The cost of a speeding ticket is a function of each mile per hour that exceeds the speed limit multiplied by a fixed rate of $2 plus a $40 processing fee.Write the function that represents this relationship.Then determine the cost of a speedingticket for a car that has gone 50 mph in a 35 mph zone

Answers

The cost of the speeding ticket for a car that has gone 50 mph in a 35 mph zone is $70.

Describe Function?

In mathematics, a function is a relationship between two sets of numbers, known as the domain and the range, that assigns each element of the domain a unique element in the range. A function can be thought of as a machine that takes input from the domain and produces output in the range.

More formally, a function f from a set X to a set Y is denoted as f: X → Y

For example, the function f(x) = 2x assigns to each real number x a unique real number 2x. When x = 1, f(1) = 2; when x = -3, f(-3) = -6.

Functions can be represented in a variety of ways, including algebraic expressions, tables of values, and graphs. The graph of a function is a visual representation of the relationship between the input and output values, and can be used to analyze the behavior of the function.

Functions are important in many areas of mathematics, science, and engineering, and are used to model relationships between quantities, solve problems, and make predictions. They are also used in computer programming, where they are used to encapsulate behavior and modularize code.

The function that represents the relationship between the speed of a car and the cost of a speeding ticket can be expressed as:

C(x) = 2(x - L) + 40

where:

C(x) is the cost of the speeding ticket for a car traveling at speed x (in mph).

L is the speed limit (in mph).

(x - L) represents the number of miles per hour over the speed limit that the car was traveling.

The fixed rate is $2 per mile per hour over the limit, and there is a $40 processing fee added to every ticket.

To determine the cost of a speeding ticket for a car that has gone 50 mph in a 35 mph zone, we substitute the values for x and L into the formula above:

C(50) = 2(50 - 35) + 40

C(50) = 2(15) + 40

C(50) = 30 + 40

C(50) = $70

Therefore, the cost of the speeding ticket for a car that has gone 50 mph in a 35 mph zone is $70.

To know more about number visit:

https://brainly.com/question/29766862

#SPJ1

Match the properties with the steps to solving the following equation. 1/2(8x-6) = x+9

Answers

Answer:

Step-by-step explanation:

Given equation is,

[tex]\frac{1}{2}(8x-6)=x+9[/tex]

By distribution property,

4x - 3 = x + 9

By subtraction property of Equality,

4x - x - 3 = 9

3x - 3 = 9

By Addition property of equality,

3x = 3 + 9

3x = 12

By division property of equality,

[tex]\frac{3x}{3}=\frac{12}{3}[/tex]

x = 4

Factor 3y3 – 9y2
The factored polynomial is

Answers

Answer:

Factor 3y23y2 out of 3y33y3.

3y2(y)−9y23y2(y)-9y2

Factor 3y23y2 out of −9y2-9y2.

3y2(y)+3y2(−3)3y2(y)+3y2(-3)

Factor 3y23y2 out of 3y2(y)+3y2(−3)3y2(y)+3y2(-3).

3y2(y−3)

Step-by-step explanation:

mark me the brainliest please

answer first for brainliest

Answers

Answer:

ok

Step-by-step explanation:

Express as a trinomial.



(x−5)(x−2)

Answers

Answer:

x^2 - 7 x + 10

Step-by-step explanation:

use the foil method to multiply the terms.

Also - you can just plug these types of equations into WolframAlpha...

in this case you are looking for "expanded form"

3 + 15 + 3
- 4 2
I need help figuring this out

Answers

Answer:

3+15+3-42

=18+3-42

=21-42

=-21

Find the value of x.

Answers

Answer:

x = 65

Step-by-step explanation:

2x - 14 + 64 = 180

2x + 50 = 180

2x = 130

x = 65

Answer:

x=65

Step-by-step explanation:

64+2x-14 = 180

Can you please find the missing side these are similar figures.

Answers

Answer:

1.108

2.4

3.6

4.28

5.80

6. 10.5

hope this will help you

Look at the angle shown below.
V.
Estimate the measure of the angle.

Answers

how is anyone supposed to answer this question when you don’t shown the angle

Please help ASAP
Drag and drop the numbers into the correct locations​

Answers

Answer:

first box: -1

second box: √-1

Step-by-step explanation:

the imaginary number equals √-1 and when you square it, the roots would go away, leaving you with -1.

The points F, G, H and I all lie on the same line segment, in that order, such that the
ratio of FG : GH: HI is equal to 3 : 2: 4. If FI = 18, find FH.

Answers

Answer:

10

   

Step-by-step explanation:

    Given line:

              F       G       H        I

         

 FI  = 18

Unknown:

FH = ?

Solution:

To find the line FH, we use the ratio given;

               FG : GH: HI

               3    :   2  : 4 ; Total  = 3 + 2 + 4 = 9

  Since FI is 18;

FH  = [tex]\frac{3 + 2}{9}[/tex]  x 18 = [tex]\frac{5}{9} x 18[/tex]  = 10

FH  = 10

   

Find the value of w in the pentagon below if the perimeter is 105 meters.
(3 + 2w) m
(3 + 2w) m
(3 + 2w) m
(3 + 2w) m
(3 + 2w) m

Answers

Answer: 9 (with a margin of: 0)

Step-by-step explanation:

Times everything by 5

That gives you 15 + 10w = 105.

Subtract 15 from both sides

Divide by 10 to get w by itself

Then you solve

If MO=16x, MN=14x+20, then what is the length of NM​

Answers

Answer:

The length of NM would be -26 2/3.

The teacher plans to organize them in such a way that each row has students with the same shirt color and all rows have the same number of students. Find the largest number of students in each row. There are 81 students in green shirts, 54 students in white shirts, and 27 in orange shirts. The

Answers

Answer:

27

Step-by-step explanation:

Given that:

Green shirt = 81 students

White shirt = 54 students

Orange shirt = 27 students

The largest number of student in each row : we need to obtain the greatest common factor for the three numbers.

Factors of :

81 : 1, 3, 9, 27, 81

54 : 1, 2, 3, 6, 9, 18, 27, 54

27: 1, 3, 9, 27

The greatest factor which is common in all three numbers is 27, hence, the largest number of student in each row should be 27

-4x+3=-2 y=x-1 solve for x and y

Answers

Answer:

x=1 1/4 (1.25), y=1/4

Step-by-step explanation:

Since the equation "y=x-1" seems simple enough, we're going to plug that in for our other equation, "-4x+3=-2".

1. Rearrange y=x-1 to fit our other equation, -4x+3=-2.

y=x-1 (add 1 to both sides)

y+1=x x=y+1

2. Plug our newly rearranged equation into -4x+3=-2.

-4(y+1)+3=-2

-4y-4+3=-2 (distributive property)

3. Add/subtract like terms.

-4y-1=-2

4. Get y to be by itself.

-4y=-1 (add 1 to both sides)

y=1/4

1. Now for y=x-1. Plug 1/4 into y.

1/4=x-1

1 1/4=x

Plz help me I’ll give brainliest!!

Answers

Answer:

k = 1

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

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

Here (h, k ) = (4, 1 )

with k = 1

Suman monthly income rs 25000 he spend 1/5 of his income for house rent and 3/5 of his income an.other exp enditure how much did he save every month

Answers

Answer:

₹ 5000

Step-by-step explanation:

Income= ₹ 25000

House rent = 1/5 of 25000

                  = [tex]\frac{1}{5}*25000[/tex]

                 = ₹ 5000

Other expenditure = 3/5 of 25000

                              = [tex]\frac{3}{5}*25000[/tex]

                              = 3 * 5000

                              = ₹ 15000

Savings = 25000 - ( 5000 + 15000)

              = 25000 - 20000

              = ₹ 5000

Answer:

I will return to this question in 3 minutes....please wait.

It is the middle of the night and yeah

Step-by-step explanation:

thougth ri4rng4g 3i45uto34jkmt

Question 26 (1 point)
Find the distance between points P(7.1) and Q(5,7) to the nearest tenth.
PQ =

Answers

Answer:

The answer is 6.3 units

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

P(7,,1) and Q(5,7)

We have

[tex] |PQ| = \sqrt{ ({7 - 5})^{2} + ({1 - 7})^{2} } \\ = \sqrt{ {2}^{2} + ({ - 6})^{2} } \\ = \sqrt{4 + 36 } \: \: \: \: \: \: \: \: \: \\ = \sqrt{40} \: \: \\ = 2 \sqrt{10} \\ = 6.32455532...[/tex]

We have the final answer as

6.3 units to the nearest tenth

Hope this helps you

Answer:

PQ=1.4 I think

Step-by-step explanation:

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