How to write vertex form when given to choices of “a” in a question ex: write the vertex form of the function where a=1 or a= -1 and H and K are integers? And the vertex is (-1,4)

Answers

Answer 1

Answer:

Step-by-step explanation:

Vertex form of quadratic equation is

[tex]y = a(x-h)^2 + k[/tex]

where h and k are the x and y coordinates of the vertex, respectively.

so in this problem

if a=1 and Vertex is (-1,4) means h= -1 and k = 4

the equation will be

[tex]y = 1 (x-(-1))^{2} + 4[/tex]

[tex]y = (x+1)^2 + 4[/tex]

if a=-1 and Vertex is (-1,4) means h= -1 and k = 4

the equation will be

[tex]y = -1 (x-(-1))^{2} + 4[/tex]

[tex]y = -(x+1)^2 + 4[/tex]


Related Questions

Consider the points Q(23, 48) and R(7, 62). What is the component form of Vector Q R?

LeftAngleBracket negative 16, 110 RightAngleBracket
LeftAngleBracket negative 16, 14 RightAngleBracket
LeftAngleBracket 30, negative 14 RightAngleBracket
LeftAngleBracket 30, 110 RightAngleBracket

Answers

Answer:

The correct option is;

LeftAngleBracket negative 16, 14 RightAngleBracket which is [tex]\left \langle -16, 14 \right \rangle[/tex]

Step-by-step explanation:

The given coordinates of the points are;

The starting point, Q(23, 48) and the final point, R(7, 62)

Therefore, we have;

The x component = The x-value of R - The x-value of R = 7 - 23 = -16

The y component = The y-value of R - The y-value of R = 62 - 48 = 14

Therefore, the component form of the vector QR = [tex]\left \langle -16, 14 \right \rangle[/tex]

Answer:

B on Edg.

Step-by-step explanation:

Yay

(-2,1); m = 5
Find the equation of the line

Answers

Here’s the correct answer, how I got it, and something to help you for next time :)

What is the surface area and volume of an rectangular prism with sides 6

Answers

The surface area and volume of the rectangular prism are equal to 216 square units and 216 cubic units, respectively.

What are the surface area and the volume of a rectangular prism?

Despite the brevity of the statement, we can find the answer by considering the rectangular prism as a cube, that is, every side has a measure of 6 units. The volume is equal to the product of the base area and the height of the prism and the surface area is equal to the sum of the areas of the six faces:

V = 6³

V = 216

A = 6 · 6²

A = 6³

A = 216

The surface area and volume of the rectangular prism are equal to 216 square units and 216 cubic units, respectively.

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What is an equivalent equation to 1/4n-16

Answers

Answer:

15/4z+12

Step-by-step explanation:

Find the value of the variable and the measure of each labeled angle.
x=
(x+7)=
(5x-49)=

Answers

Answer:

21°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Geometry

Vertical Angles - Angles that are directly opposite of each other are congruent

Step-by-step explanation:

Step 1: Set Up Equation

(x + 7)° = (5x - 49)°

Step 2: Solve for x

Subtract x on both sides:                   7 = 4x - 49Add 49 on both sides:                        56 = 4xDivide 4 on both sides:                      14 = xRewrite:                                               x = 14

Step 3: Find angle measure

Define:                    (x + 7)°Substitute in x:       (14 + 7)°Add:                        21°

questions 18 and 20, any help?

Answers

A polygon with 12 sides is called a/an

Multiply. Write answer in box below.
(3x - 4)(x+4)

Answers

Answer:3x^2+8x-16

Step-by-step explanation:

A study of a population of 1,500 moths revealed that 15 out of every 75 moths in the population have gray stripes on their wings. Based on the results of this study, how many moths in the population have gray stripes on their wings?

Answers

Answer: 300 moths

Step-by-step explanation:

Since 15 out of every 75 moths in the population have gray stripes on their wings, this means the fraction of moths that have gray stripes on their wings is 15/75 = 1/5.

Therefore, out of 1500 moths, the number of moths in the population that have gray stripes on their wings would be calculated as:

= 1/5 × 1500

= 300 moths

it must be a equivalent fraction

Answers

In the picture there is 3 question. The equivalent fraction.

1. We get 9/25=18/50

2. We get 26/39=2/3=8/12

3. We get 1/4=5/20

Given that,

In the picture there is 3 question.

Equivalent fractions state that two or more fractions are identical if, after simplification, they both provide the same fraction. Let's imagine that a/b and c/d are two fractions. If these fractions are simplified to produce comparable fractions, such as e/f, they are then equal to one another.

For instance, if we simplify 5/15, the resulting fraction is the same as 1/3, hence that is the equivalent fraction of 1/3.

1. We get 9/25=18/50

Multiply by 2

2. We get 26/39=2/3=8/12

Multiply by 13 and 4

3. We get 1/4=5/20

Multiply by 5

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Can someone help me with all of these please if you could please answer like this

1) Answer
2) Answer
Etc....

Answers

Answer:

1. corresponding angles

2. alternate exterior

3. corresponding

4. consecutive interior

5. alternate interior

6. alternate exterior

7. alternate interior

8. alternate angles

9. corresponding angles

10. alternate angles

11. 110

12. 84

13. 80

14. 111

15. 125

16. 47

17. 127

18.67

19. x=4

20.x=7

What does Jing-mei`s mother want her to be?

Answers

Answer: Jing-mei's mother wants her to be a prodigy because her friend Lindo Jong's daughter Waverly is a chess prodigy. She also wants her daughter to be successful.

Step-by-step explanation:

Which graph best represents y = 4x + 1?

Answers

The graph of y = 4x + 1 is a linear graph with a slope of 4, and a y-intercept of 1

The function is given as:

[tex]y = 4x + 1[/tex]

A linear equation is represented as:

[tex]y = mx + b[/tex]

Where:

m represents the slope,b represents the y-intercept.

So, by comparison:

[tex]m=4[/tex]

[tex]b =1[/tex]

This means that,

The slope of the graph is 4, and the y-intercept is 1

See attachment for the graph of [tex]y = 4x + 1[/tex]

Read more about linear equations at:

https://brainly.com/question/11897796

Answer:

For the Algebra 2 A U7L8 Exponential and Logarithmic Functions Unit Test Part 1 I got 100%

1. Graph c

2. 5,559.92

3. Graph C

4. 1/2 logb57-1/2logb74

5. 1/2

6. 0.3797

7. 998/3

8. 2% exponential decay

9. 1.0797

10. Logb(y5x6)

11. written you have to do this one

PS get like one or two random answers wrong

hope this helps

Solve for x in the triangle. Round your answer to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

label sides adjacent h and o

sin(30) times 12 = 6 = 10

Hi I’m trying to do 9th grade algebra hw x+(-2)=8

Answers

answer is

x=10 because 10-2=8

What is the image of (7, -3) after a reflection over the x-axis?

Answers

Answer:(7,3)

Step-by-step explanation:

Which graph represents a linear function? (4 points)

Answers

Graph C because it is a straight line with no curves

what is a solution to the compound inequality 85 [tex]\leq[/tex]17m[tex]\leq[/tex] 136?

Answers

Given:

The compound inequality is

[tex]85\leq 17m\leq 136[/tex]

To find:

The solution of given compound inequality.

Solution:

We have,

[tex]85\leq 17m\leq 136[/tex]

On dividing all sides by 17, we get

[tex]\dfrac{85}{17}\leq \dfrac{17m}{17}\leq \dfrac{136}{17}[/tex]

[tex]5\leq m\leq 8[/tex]

Therefore, the solution of given compound inequality is [tex]5\leq m\leq 8[/tex]. It can be written as [5,8].

What is the area of a circle with 22 diameter

Answers

Answer:

380.13

Step-by-step explanation:

hope this helps :D pls mark brainliest :D

Solve the linear system using multiplication Elimination.

4х + Зу = 8
X - 2y = 13

Answers

X=5, y=-4
(5,-4)
do you need the work?

1. If 4 lbs of apples cost $36, How much would 2 lbs cost?​

Answers

Answer:

18

Step-by-step explanation:

divide 36 by 2

Answer:

18

Step-by-step explanation:

36/4=9

1lb=9

2lbs=18

Samuel buys office supplies for his home business. The office supplies
cost $175.79 before taxes. The sales tax rate is 8.25%. What is the total
cost Samuel will pay after Tax? *

Answers

Answer:

190.29

Step-by-step explanation

8.25% of $175.79 is $14.50, so adding $175.79 and $14.50 is $190.29

-3/4-5/8=
This is a simple math problem
But it’s to hard for me
And I really need help
Not from someone who doesn’t know the answer

Answers

-11/8 because you turn the first one into -6/8 and then subtract to get -11/8

Can someone please help mee (40 points
brainliest!!!)

Answers

a. $650

b. 50? Not sure about that one

Lydia drove 216 miles and used 6 gallons of gasoline on a recent trip. Which of the following represents the unit rate of gasoline used on this trip?


a3 miles per gallon

b.3 miles per gallon

c.36 miles per gallon

d.36 miles per gallon

e.210 miles per gallon

f.210 miles per gallon

g.222 miles per gallon

Answers

Answer:

36 miles per gallon is your answer hoped this helped.

Step-by-step explanation:

Mark me as brainliest!

Someone please help me match the name with the Polynomial. Thank you in advance, I will give Brainliest to the correct answer. :)

Answers

Answer:

[tex]1.\ -117 ----> Constant\ Monomial\\As\ it\ is\ an\ expression\ with\ only\ 1\ term,-117\ which\ has\ a\ degree\ of\ 0\ as -117x^0 ,and\ is\ a\ constant.\\ 2.\ x^2- x^4-10 -----> Quartic\ Polynomial\\\As\ it\ is\ a\ polynomial\ \ with\ a\ degree\ 4\ as\ it\ has\ (-x^4).\\ 3.\ 16x-x^8------> 8th\ degree\ binomial.\\As\ it\ is\ a\ polynomial\ with\ the\ term\ -x^8\ which\ gives\ the\ polynomial\ its\ 8th\ degree.\\[/tex]

[tex]4.\ x-3x^2-9-x^3---->Cubic\ Polynomial\ with\ 4\ terms\\As\ it\ is\ a\ polynomial\ containing\ 4\ terms(x, -3x^2,-9,-x^3)\\ and\ having\ a\ degree\ of\ 3\ due\ to\ -x^3.\\ 5.\ x^2-4x+1 ----> Quadratic Polynomial\\As\ it\ is\ a\ polynomial\ with\ the\ degree\ 2\ due\ to\ x^2.[/tex]

Can you help me with explanation will give brainiest

Answers

Answer:

Area of rectangular garden = lxb = 10*5

                                             = 50 sq. inch

when area increases by six times

new area = 50*6 = 300 sq inches

now,

let x be increasement in both  length and width

(5+x) (10+x) = 300

50 + 5x + 10x + x² = 300

x² + 15x - 250 = 0

x²+ 25x-10x -250 = 0

x(x+25) - 10 (x+25) = 0

( x-10) (x+25) = 0

either x + 25 =0

x = -25 length can be negative

0r x-10 = 0

x = 10

so 10 inches is increase on both side

Step-by-step explanation:

Work out
3
9
+
2
3
Give your answer in its simplest form
ITS A FRACTON CAN U HELP ASAP

Answers

Answer:

The correct answer is 1.

Step-by-step explanation:

In order to solve the problem [tex]\frac{3}{9}[/tex]  + [tex]\frac{2}{3}[/tex], we need can use two methods.

Method 1: Make the denominators the same.

3/9 + 2/3 =

3/9 + 6/9 =

9/9 =

1

Method 2: Turn both fraction into decimals (by dividing the numerator by the denominator.)

3/9 or 3 ÷ 9 = 0.3 (when rounded to the nearest tenth)

2/3 or 2 ÷ 3 = 0.7 (when rounded to the nearest tenth)

0.3 + 0.7 = 1

Therefore, the answer to this question is 1.

Answer 1 or 9/9


Explanation: First we need to find a common denominator which the easiest would be nine and then multiply those to equal nine and then you will get 3/9+6/9 which is equal to 9/9 which reduces to 1 have a nice day (:

Solve this equation
m+6=2m-6
2​

Answers

Answer: +6=2−62 its =68

Answer:

[tex]m = 12[/tex]

Step-by-step explanation:

[tex]m + 6 = 2m - 6 \\ 2m - m = 6 + 6 \\ m = 12 \\ \\ hope \: it \: helps... \\ pls \: mark \: as \: brainliest[/tex]

Statement: At a store, 3 bags of peanuts were sold for $18. Determine if each statement has the same unit rate as the original statement or a different unit rate. Click the box for each statement to indicate "Same unit rate" or "Different unit rate." Same unit rate Different unit rate A jar of jam sold at $25 for 5. Sandwiches sold at $20 for 3. Cups of fruit sold at $48 for 8. Ham sold at $12 for 2.​

Answers

Answer:

The original statements unit rate is $6.

A. 25/5=5-Different unit rate

B.20/3=6.67 Different unit rate

C. 48/8=6 Same unit rate

D. 12/2=6 Same unit rate

Step-by-step explanation:

How many hours do they have to work before they go to the movies

Cell phone Plan A costs $70 per month and comes with a free $500 phone. Cell phone Plan B costs $50 per month but does not come with a phone. If you buy the $500 phone and choose Plan B, how many months is it until your cost is the same as Plan A's?
I got two different answers last time. One said 25 and the other said 11. Are either of them correct?

Answers

Answer:

25 months

Step-by-step explanation:

Plan A : $70 per month

Plan B : $50 per month + $500 as a one time cost.  

So for A $70 a month would take 8 months to be at least $500

And for B it in those 8 months it would cost you $900

But we have to keep going up until they are equal

25*70 = 1750

(25*50) = 1250+500=1750

So yes 25 months is correct

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