y=x^2-2x-5 vertex form

Answers

Answer 1

Hey there! I'm happy to help!

First, we'll want to find the vertex of this parabola.

Given the equation y=ax^2+bx+c, the formula for the x-coordinate of the vertex is always [tex]-\frac{b}{2a}[/tex].

In our equation here, our a is 1 and our b is -2.

[tex]-\frac{-2}{2}=\frac{2}{2}=1[/tex]

Now that we have our x-value of our vertex, we can plug it into our equation to find our y-coordinate.

y=1²-2(1)-5

y=1-2+5

y=-1+5

y=4

So, our vertex is at (1,4).

Vertex form is y=a(x-h)²+ k where (h,k) is our vertex. We know now that our vertex is (1,4) and we also know that our a is 1, so we can simply plug it in to this equation.

y=(x-1)²+4

Have a wonderful day and keep on learning! :D


Related Questions

Please help on the question below
Any help is appreciated, thank you:)​

Answers

Answer:

Here is your answer...

Hope it helps

cos5xcosx-sin5xsinx=??????????????????

Answers

Answer:

cos6x.

Step-by-step explanation:

We use the identity

cosAcosB - sinAsinB = cos(A+B)

so cos5xcosx - sin5xsinx = cos(5x + x)

= cos6x.

i need help ;^; please​

Answers

Answer:

80

Good luck :)

Answer:

80

Step-by-step explanation:

[tex]\sqrt{a} * \sqrt{b} = \sqrt{ab}[/tex]

[tex]\sqrt{6400}[/tex]

6400 = 2 * 2 * 2 * 2 * 2 * 2 * 2 *2 * 5 * 5

          = 2^8 * 5^2

2^4 * 5

16*5 = 80

Reflect the line segment across the x-axis. Then, rotate it 90° clockwise. Finally,
translate it down 2 units. What is the relationship between the original line segment and the transformed line segment? If you
transform a line segment with a sequence of reflections, rotations, or translations, is it still a line segment?

Answers

Yes it’s still a line segment. The shape didn’t change in size.

select the correct answer

Answers

Answer:

B

Step-by-step explanation:

This is a linear function that continues both ways infinitely.

Answer:

B

Step-by-step explanation:

The domain of the function is all real numbers.

Can someone show me how to factor this please?

Answers

Answer:

[tex]\displaystyle \theta = \left\{\frac{7\pi}{6}, \, \frac{3\pi}{2}, \frac{11\pi}{6}\right\}[/tex]

Step-by-step explanation:

We want to solve the equation:

[tex]2\sin ^2 \theta + 3\sin \theta + 1 = 0[/tex]

In the interval [0, 2π).

Notice that this is in quadratic form. Namely, by letting u = sin(θ), we acquire:

[tex]\displaystyle 2u^2 + 3u + 1 = 0[/tex]

Factor:

[tex]\displaystyle (2u+1)(u+1) = 0[/tex]

By the Zero Product Property:

[tex]\displaystyle 2u + 1 = 0\text{ or } u + 1 = 0[/tex]

Solve for each case:

[tex]\displaystyle u = -\frac{1}{2} \text{ or } u = -1[/tex]

Back-substitute:

[tex]\displaystyle \sin \theta = -\frac{1}{2} \text{ or } \sin \theta =-1[/tex]

Use the Unit Circle. Hence, our three solutions in the interval [0, 2π) are:

[tex]\displaystyle \theta = \left\{\frac{7\pi}{6}, \, \frac{3\pi}{2}, \frac{11\pi}{6}\right\}[/tex]

What is 61.12÷3.2 uses to expressions.

Answers

Answer:

answer is 19.1

Step-by-step explanation:

answer is 19.1

The longer base of an isosceles trapezoid measures 23 ft. The nonparallel sides measure 9 ft, and the base angles measure 80°. Find the length of a diagonal.

Answers

Answer:

Hi,

Step-by-step explanation:

Using Al's kashi theorem,

diag²=9²+23²-2*9*23*cos(80°)=538,109654....

diag=23,197190... (ft)

Plz help me with this binary division whith full process/explanation 1001010 ÷ 101​

Answers

Answer:

Step-by-step explanation:

Its like doing a long division with base 10 numbers:

           1110    <----------- Quotient

101)1001010

        101

         1000

            101

               111

                101

                  100

So the answer is 1110 remainder 100.

We can confirm this by converting to decimal numbers

1001010 = 74 and 101 = 5.

74 / 5 = 14 remainder 4.

Pringle's variety pack 18 cups for $6.48 cost per cup

Answers

Answer:

0.36

Step-by-step explanation:

Please help me with this problem

Answers

[tex] \sqrt{11} \: lies \: between \: 3 \: and \: 4[/tex]

Answer:

Lies between 3&4

See THE IMAGE FOR SOLUTION

A(-2,3)
Triangle ABC has vertices at A(-2,3), B(-3,6), and
C(2,-1) Is triangle ABC a night triangle? If so, which
angle is the night angle?
O No, the triangle has no right angles.
O Yes, the right angle is angle A
O Yes, the right angle is angle B
O Yes, the right angle is angle C
VA
C (2-1)
B (-3,-6)

Answers

second choice i’m prolly wrong

( show your work ) Find the total cost of 6 puppies if each pull-ups coast $250

Answers

Answer: $1500

Step-by-step explanation:

Given information

Number of puppies = 6

Cost of each puppy = $250

Given expression deducted from the question

Total cost = number of puppies × cost of each

Substitute values into the expression

Total cost = 6 × 250

Simplify by multiplication

Total cost = [tex]\boxed{1500}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer $1500
Work
If one Cost $250 , and we need to fine the total of 6 puppies. So it 250 times 6 , then you will get the answer 1500
The total cost of 6 puppies is $1500

Subtract -2x^2+3x-9−2x 2 +3x−9 from 8x^2+10x-108x 2 +10x−10.

Answers

32 263748584872eiiei

I was thrown into this without any help​

Answers

Answer: MKN and JKL

Collinear points are three or more points that lie on the same line.
The answer is MKN & JKL

Please help meeeee!
I'm really in a rush rn!

Answers

Answer:

-3.392

Step-by-step explanation:

2.34

1.052

+_____

= 3.392

Find the 68th multiple of 89, if the 69th multiple is 6141.

Answers

Answer:

6141 - 89 = The 68th multiple (6052)

PLEASE PLEASE TRANSLATING A SENTENCE INTO AN EQUATION
The difference of Jose's age and 21 is 58
Use the variable j to represent Jose's age.

Answers

Answer:

j - 21 = 58

Step-by-step explanation:

happy to help if you have any others i can help you

Answer:

j - 21 = 58

Step-by-step explanation:

Solve the given equation for X.
X/3 + X/7 = 5/3

Answers

The answer is 7/2
In decimal form it’s 3.5

Answer: x = 3.5

Step-by-step explanation:

Given

x/3 + x/7 = 5/3

Determine the Least Common Multiple (LCM) of the denominators

First 10 multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30

First 5 multiples of 7: 7, 14, 21, 28, 35

Since 21 is the first overlapping term in both lists, therefore, 21 is the LCM of 3 and 7.

Multiply Least Common Multiple (LCM) of the denominators on both sides

21 (x/3 + x/7) = 21 × 5/3

Expand parentheses and apply the distributive property

7x + 3x = 35

Combine like terms

10x = 35

Divide 10 on both sides

10x / 10 = 35 / 10

[tex]\boxed {x=3.5}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

golf activity geometry
use distance formula
HELP PLEASE n explain if you know!

Answers

Answer:

Step-by-step explanation:

The length of a sandbox is three feet longer than its width. What expression would represent the area of the sandbox

Answers

Expression represent the area of the sandbox is a² + 3a

GIven that;

Length of sandbox is three feet longer than its width

Find:

Expression represent the area of the sandbox

Computation:

Assume;

Width of sandbox = a feet

So,

Length of sandbox = (a + 3) feet

[tex]Area\ of\ rectangle = Length \times Width[/tex]

So,

Area of the sandbox = Length of sandbox × Width of sandbox

Area of the sandbox = (a + 3) × a

Area of the sandbox = a² + 3a

Learn more:

https://brainly.com/question/23649629?referrer=searchResults

A tree casts a shadow of 45 feet. If the angle of elevation to the top of the tree is 50º,
how tall is the tree?

Answers

Answer:

95

Step-by-step explanation:

add 50,45

hey please help i’ll give brain

Answers

Hi ;-)

[tex]3\cdot\boxed9=9\cdot3[/tex]

Answer:

3 × 9 = 9 × 3

Step-by-step explanation:

Help
me
please with questions 4, 5 and 6, THANKS

Answers

Answer:

hgzzrzdjjhhgccghjvcss

hgvvghjdszschkmbc

Step-by-step explanation:

bbhjvfdseaaasrfhujklknhgcffdzsshbjkhj

hggcfgbjvcfvjjhxsgj

Some math help please?

Answers

Answer:

∠ LMP = 77° , ∠ NMP = 103°

Step-by-step explanation:

The 2 angles on the straight line sum to 180° , that is

∠ LMP + ∠ NMP = 180 , substitute values

- 16x + 13 - 20x + 23 = 180 , that is

- 36x + 36 = 180 ( subtract 36 from both sides )

- 36x = 144 ( divide both sides by - 36 )

x = - 4

Then

∠ LMP = - 16x + 13 = - 16(- 4) + 13 = 64 + 13 = 77°

∠ NMP = - 20x + 23 = - 20(- 4) + 23 = 80 + 23 = 103°


Mr. Jones took a survey of college students and found that 60 out of 64 students
are liberal arts majors. If a college has 7505 students, what is the expected
number of students who are liberal arts majors?

Answers

use the fraction 60/64= liberal art majors and convert into a percentage which is 93.75%
find 93.75% of 7505 and that’s ur answer
the answer is approximately 7035 students

HELPPPGPTPPFPPZPSKZJZ

Answers

Help it not answer you have to say helllooofrrr Dan holloywood helpoopp

I'll give brainliest!! I put this up nearly an hour ago and got no answers

Answers

Answer:

The integers are

1st: n

2nd: n + 1

3rd: n + 2

The words in the problem statement translate into

2(n + 1) = 3(n + 2) + 6

Solve for n.

2n + 2 = 3n + 12

n = -10

n + 1 = -9

n + 2 = -8

Step-by-step explanation:

Could you please solve this problem? Thank you so much.​

Answers

Step-by-step explanation:

the answer is in the image above

how do you find x the problem is 9x = -22

Answers

Answer:

x = -22/9 or, x = -2.44 in decimal form

Step-by-step explanation:

9x = -22

/9      /9      (divide both sides by 9)

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

x = -22/9     (when converted to decimal form, you get x = -2.44)

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