Given the vertex and another point, write the equation in vertex form: vertex (2, -5) point (3, -2)

Answers

Answer 1

Answer:

y = 3(x - 2)² - 5

Step-by-step explanation:

Let the equation of the parabola is,

y = a(x - h)² + k

Here, (h, k) is the vertex of the given parabola.

Since, vertex of the parabola is (2, -5)

Equation of the parabola will be,

y = a(x - 2)²- 5

Since, parabola passes through a point (3, -2),

-2 = a(3 - 2)²- 5

-2 + 5 = a(1)

a = 3

Therefore, equation of the parabola will be,

y = 3(x - 2)²- 5


Related Questions

help me plz due in 20 minutes ​

Answers

9514 1404 393

Answer:

  B)  y = 0.25x +5

Step-by-step explanation:

The x-value differ by 1, so the slope is the difference in y-values.

Comparing for x=2 and x=3, we see that the y-value increases by 0.25 from 0 to 0.25. This is the slope of the data in the table.

The equation with the same slope will have 0.25 as the x-coefficient. The equation of choice B is the one you're looking for.

  y = 0.25x +5

_____

You don't care about the equation of the table, but it is ...

  y = 0.25x -0.5

The diagram below shows a rectangle inside of a regular hexagon. the apothem of the hexagon is 17.32 units. to the nearest square unit, what is the area of the shaded region?

Answers

Answer:

your answer will be A)719 units²

Step-by-step explanation:

hope it helps ^_^

Can someone help me please

Answers

Answer:

the answer is yes.

Step-by-step explanation:

Answer:

It is a which is (-2,2).............

Write the following FRACTIONS in order of size (SMALLEST to LARGEST)
70% , 2/3 , 0.62 , 13/20 , 0.6

Answers

Answer:

is this helpful?? i guess it is

Answer: 6/10, 62/100, 13/20, 2/3, 7/10

Explanation:

First make all of them decimals:

.7, .667, .62, .65, .6

Then order least to greatest:

.6, .62, .65, .667, .7

Finally put them into fraction form

6/10, 62/100, 13/20, 2/3, 7/10

HELP giving brainlest for first person that answers and extra points

Answers

thanks for the extra points i most definitely needed it

choose the answer that best completes the sentence.

If you know a root of a function is -2+V3i , then ___.

Answers

Answer:

2 + V3i is a known root

Step-by-step explanation:

We want the positive and negative values from the square root

Answer:

D.   -2-[tex]\sqrt{3i[/tex]

Step-by-step explanation:

I am taking the assignment and got it correct. Good luck

which graph represents the function

Answers

I believe the answer is C

Help me please thanks

Answers

Answer:

3.64 × 10¹⁵

Step-by-step explanation:

Hey!

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

We always follow these rules when we are Multiplying and Dividing numbers with Scientific Notation.

1. If the numbers are not in scientific notation, convert them.

2. Regroup the numbers using the commutative and associative properties of exponents.

3. Now multiply the two numbers written in scientific notation, you work out the coefficients and the exponents separately.

             -Use the product rule; aⁿ × aᵇ = a⁽ⁿ⁺ᵇ⁾  to multiply the bases.

4. If the product of the coefficients is greater than 9, convert it to scientific notation and multiply by the new power of 10.

5. Join the new coefficient to the new power of 10 to get the answer.

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

Let's start!

Our equation:

                                  (5.2 × 10⁶)(7 × 10⁸)

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

1. If the numbers are not in scientific notation, convert them.

They are in scientific notation, so we go on to step 2.

2. Regroup the numbers using the commutative and associative properties of exponents.

(5.2 × 7)(10⁶ × 10⁸)

3. Now multiply the two numbers written in scientific notation, you work out the coefficients and the exponents separately.

             -Use the product rule; aⁿ × aᵇ = a⁽ⁿ⁺ᵇ⁾  to multiply the bases.

5.2 × 7 = 36.4

10⁶ × 10⁸= 10⁽⁶⁺⁸⁾ = 10¹⁴

4. If the product of the coefficients is greater than 9, convert it to scientific notation and multiply by the new power of 10.

36.4 = 3.64 × 10¹

5. Join the new coefficient to the new power of 10 to get the answer.

3.64 × 10¹ × 10¹⁴

3.64 × 10⁽¹⁺¹⁴⁾ = 3.64 × 10¹⁵

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

3.64 × 10¹⁵

Hope I Helped, Feel Free to ask any questions to clarify :)

Have a fantastic day!

           -Aadi x

I NEED HELP PLEASE !!

Answers

Answer:

all 3 sides are the same length

what's
[tex] \sqrt{45 + 36} [/tex]

Answers

the square root is 81

-x=5 can you help me please

Answers

Answer is in the file below

tinyurl.com/wpazsebu

May someone please help me with this :)

Answers

so to find the answer you would use the formally 1/2bh
1/2(3.5)(1.5)
which give you 2.625

help
What is an equation of the line that passes through the points (-4, 4) and (8.1)?

Answers

Answer:

y = -1/4x +3

Step-by-step explanation:

Hope this helps!

TOURS The table shows the activities of two visitors at a park. You want to take the boat tour for 2 hours and the walking tour for 3 hours. Can you determine how much you will pay? Explain.

Answers

Answer:

Step-by-step explanation:

6 - 4 (6n + 7 ) > 122 giving brainlest to whoever shows work

Answers

Answer:

n<-6

Step-by-step explanation:

6-24n-28>122

-22-24n>122/:(-2)(devide the whole equation by (-2), when u devide by a negative number > changes to <)

11+12n>-61

12n<-72

n<-6

Solve for x
Literally forgot how to do this..

Answers

Answer:

x = 114 ur welcome

Step-by-step explanation:

Answer:

x = 114

Step-by-step explanation:

Given

[tex]\frac{x+18}{4}[/tex] = 33 ( multiply both sides by 4 to clear the fraction )

x + 18 = 132 ( subtract 18 from both sides )

x = 114

ALEGBRA 1 ! help. me. please. this. is. so. hard. i dont. understand it.

Answers

Answer:

Part a) to find the maximum height of the snowball, you have to differentiate the function. Therefore you get ----> dh/dt= -32x-8 . Now equate this to zero and solve for x. x= (-1)/4 now sub this value in to find h(x) [note: i'm talking about the original function] . I got h max = h((-1)/4) = 9 which is the max height.

Step-by-step explanation:

I'm not too sure about the other questions. Sorry

Given right triangle JKL, what is the value of cos(L)?

Answers

Answer:

5/13 pal, the first one,,,,


A cube-shaped box has a volume of 1000 cubic inches. How tall is the box?

Answers

Answer:

10 inches

Step-by-step explanation:

the box is 1000 cubic inches in volume, and 10×10×10 is 1000

The side lengths are each 10 inches tall

The box is 10 inches tall, wide, and long

3 x q x 7 x q= ___. Can someone help?

Answers

21q^2 bc (7x21) x (q x q)

[tex]21 {q}^{2} [/tex]

Step-by-step explanation:

[tex]3 \times 7 \times q \times q = \\ 21 \times q \times q = \\ 21q {}^{2} [/tex]

A golf course has 18 holes. A guidebook provided to golfers includes useful information about each hole, as shown below. A 4-column table with 6 rows. Column 1 is labeled hole number with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled yards with entries 312, 530, 147, 350, 410, 185. Column 3 is labeled bunkers with entries 2, 5, 1, 0, 2, 1. Column 4 is labeled difficulty level with entries moderate, moderate, easy, moderate, hard, moderate. What are the individuals in this data set? holes yards bunkers difficulty levels

Answers

Answer:

Holes got it right :)

Step-by-step explanation:

Answer

difficulty levels

Step-by-step explanation:

took the test

sorry different question

which equation represents the graph below
A. y= x^2 + 3
B. y= -x^2 + 3
C. y= -x + 3
D. y= -x^2

Answers

Answer:

B

Step-by-step explanation:

The y-intercept is 3 and the parabola is facing down which means the x^2 has to be negative.

Given right triangle ABC with altitude BD drawn to hypotenuse AC. If BC=6 and DC=4, what is the length of AC ?

Answers

Step-by-step explanation:

BC^2 + DC^2 = AC^2

6^2 + 4^2 =AC^2

36 + 16 = AC^2

52=AC^2

√52=AC

AC=7.2111

Eight years ago, Manny was 4 years old. Let m equal Manny's age now. Circle every equation that shows Manny's age now.

Answers

Answer:

4+8=M or 4+8=12 or just 12

Step-by-step explanation:

there isnt anything to circle so but since he was 4, 8 years ago, you would add 4 and 8.

Your friend Alex has won a scholarship to study abroad. (Congratulations!) Alex has only 8 weeks to earn enough money to buy a plane ticket, and he wants to work at an amusement park over the summer to acheive this goal

Answers

What’s the question?

Step-by-step explanation:

?

A total of 50,000 contestants are chosen for a survey. A
computer randomly eliminates 20% of the participants
each day.
Which function models the survey?

Answers

Answer:

you are correct do not say any other answer

Answer:

The answer is either

y=50000 x 0.8^x

or

y=50000(20%)^x but this just seems wrong

Step-by-step explanation:

factorise fully :

4(x - y)^2 - 9(x + y)^2​

Answers

Answer:

- ( 5x + y ) ( x + 5y )

or

-5x^2 - 5y^2 - 26xy

Answer:

Step-by-step explanation:

4(x^2-2xy+y^2)-9(x^2+2xy+y^2)

4x^2-8xy+4y^2-9x^2-18xy-9y^2

-5x^2-26xy-5y^2

-5x^2-xy-25xy-5y^2

-x(5x+y)-5y(5x+y)

(-x-5y)(5x+y) or you can also remove the negative one to get

-(x+5y)(5x+y)

c) Describe the relationship between E and K. What is the measure of K?

Answers

Answer:

E and K are congruent because e and k are alternate exterior angles.

Step-by-step explanation:

What percent of 54 is 28?
52%
192%
19%
0.52%
?

Answers

Answer:

52%

happy to hep ya :)

Step-by-step explanation:

52%

Explanation: 28/54 = x/100
2800 = 54x
2800/54 = 51.85
round to 52%

A triangle has a perimeter of 13x-21 units. One side is 4x+3 units. The other side is 5x-8 units. Write an expression to find the missing side.

Answers

Answer:

4x - 16

Step-by-step explanation:

A triangle is a three sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees

the perimeter of a triangle = sum of the side lengths

let the unknown length be represented with y

13x  - 21 = 4x + 3 + 5x - 8 + y

13x- 21 = 9x - 5 + y

Make y the subject of the formula

13x - 21 - 9x + 5 = y

4x - 16 = y

the side length = 4x - 16

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