Convert standard form to vertex form y=2+3x ^2

Answers

Answer 1

Answer:

y=3(x+0)^2+2

Step-by-step explanation:

The standard form of a parabola is y=ax2+bx+c y = a x 2 + b x + c . The vertex form of a parabola is y=a(x−h)2+k y = a ( x − h ) 2 + k .


Related Questions

Find the standard deviation of the given data rounded to the nearest hundredth.3, 4, 5, 7, 10, 12, 15

Answers

Answer:

4.140393356

Step-by-step explanation:

Mean = (3+4+5+7+10+12+15) / 7 = 8

Count = 7 numbers

Sum of the numbers = 56

Each number minus the mean =

(3-8=-5)(4-8=-4)(5-8=-3)(7-8=-1)(10-8=2)(12-8=4)(15-8=7)

Now square of each of these numbers:

25+16+9+1+4+16+49 = 120

Variance = 120/7 = 17.14285714

Standard deviation = square root of the variance

Sqrt 17.14285714 = 4.140393356

Musa is 5 years less than 3 times Amina's age. How can that be represented as an expression?

3a - 5

5•(a - 3)

5 - 3a

3•(5 - a)

Answers

Answer:

3A-5

Step-by-step explanation:

Answer:

3a-5

answer

gjjkklkhggghhh

This plan or an apartment
What is the perimeter of the bathroom?
p
all
Each red square 1 metre
im

Answers

Answer:

12m perimeter

Step-by-step explanation:

all side are 3m so 3x4 = 12m

The answer is 12 m perimeter

please helpppppppppppppppp

Answers

Answer:

a

Step-by-step explanation:

the balloon was at 595 feet

595

then it dropped 495 feet

525-495= 30

the equals 30 means that it is currently 30 feet above the ground

and if it dropped another 15 feet it would not reach the ground, which is zero, the balloon would still be 15 feet above the ground

30-15= 15

so the balloon never reached zero

Answer:

A

Step-by-step explanation:

I took the quiz and got a 100, please mark brainlyiest

Find the area of the triangle.
6
8

Answers

Answer:

24

Step-by-step explanation:

the area formula for a triangle is

base x high

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

   2

so 6x8=48 and divided by 2 is 24

Answer:

24

Step-by-step explanation:

8×6 then Divide by 2........

4/5 divided between 1.2

Answers

Answer:

1.6

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

can anyone help?????? Can y’all write it detailed or like step by step explaining cause i have to write it down ..

Answers

Answer:

x = 5

Step-by-step explanation:

Step 1: Distributive property

Using this property means when you have something like the equation on the right side ( 4 ( x + 3 ) ) you multiply both the values in the parentheses by the number outside:

4 ( x + 3 )

( 4 x X ) + ( 4 x 3 )

4x + 12

8x + 2 = 2x + 4x + 12

Step 2: combine like terms

Combining like terms is when you find like terms with the same variables and such and add them together:

8x + 2 = 12 + ( 2x + 4x )

8x + 2 = 12 + 6x

Step 3:Using inverse operations

This means that you need to get a variable one one side and a constant on the other:

8x + 2 ( -2 ) = 12 ( -2 ) + 6x

8x = 10 + 6x

8x ( -6x ) = 10 + 6x ( -6x )

2x = 10

Step 4: solve for the variable

The last thing you need to do is divide both sides by the constant with the variable ( 2x ) to get x by itself:

2x ( /2 ) = 10 ( /2 )

x = 5

Answer:

x=5

Step-by-step explanation:

Step 1:Using the distributive property on the right side of the equation

8x+2=2x+4(x+3)

8x+2=2x+4x+12

Step2:Combining the like terms on the right side if the equation (Since there are no like terms on the left side) :

8x+2=6x+12

Step 3: Using the inverse operations to get the variables on the left side and the constants on the right side of the equation :

8x-6x=12-2

Step4: Using inverse operation to solve for the variable of interest which is 'x':

2x=10 (Dividing both sides by two sides by 2)

x=5

find equation of line a line that is parellel to the graph of 2x+3y=5 and contains the point (3,-1)

Answers

Answer:

[tex]y = - \frac{2}{3} x + 1[/tex]

Step-by-step explanation:

2x +3y= 5

3y= -2x +5

Divide both sides by 3:

[tex]y = - \frac{2}{3} x + \frac{5}{3} [/tex]

[tex]y = - \frac{2}{3} x + 1 \frac{2}{3} [/tex]

Now that the equation is in the slope-intercept form (y= mx +c), the slope of the given line is the coefficient of x.

[tex]slope = - \frac{2}{3} [/tex]

Parallel lines have the same slope.

Slope of unknown line= -⅔

y= -⅔ +c

To find the value of c, substitute a pair of coordinates into the equation.

When x= 3, y= -1,

[tex] - 1 = - \frac{2}{3} (3) + c[/tex]

-1= -2 +c

c= -1 +2

c= 1

Thus, the equation of the line is y= -⅔x +1.

A student has scores of 66.75, 66, and 72.25 on his first three tests. He needs an average of at least 70 to earn a grade of C. What is the minimum score that the student needs on the fourth test to ensure a C?

Answers

The answer is 7.25

Step-by-step explanation:

You need to just subtract thr toher numbers to get a differrnce. Then add up all of the differences so that you get thr correct answer.

8.9776 to nearest hundredth

Answers

Answer:

8.9770

Step-by-step explanation:

Can someone help me pls

Answers

Answer:

2.85 x 10^4

Step-by-step explanation:

Polynomials

Multiply (2x - 3)(7x – 4)

Answers

Answer:

(2x-3)(7x-4)

2x(7x-4)-3(7x-4)

14x²-8x+21+12

14x²-8x+33

Answer:

14 x square - 29x + 12

Step-by-step explanation:

(2x - 3)(7x – 4)

14x squared - 8x- 21x + 12

14 x square - 29x + 12

Nikita bought a flat for rupees 4987653. Round off the price of the flat to the nearest thousands. ​

Answers

If you round to the nearest thousands then it would be 4988000.

Trapezoid ABCD was dilated to create trapezoid A'B'C'D'.


On a coordinate plane, 2 trapezoids are shown. Trapezoid A B C D has points (negative 4, 0), (negative 2, 4), (2, 4) and (4, 0). Trapezoid A prime B prime C prime D prime has points (negative 2, 0), (negative 1, 2), (1, 2), and (2, 0).


Which statements are true about the trapezoids? Select three options.


Incorrect answer:


Sides CD and C'D' both have the same slope, 2.

Selected Answer - Incorrect

Correct answer:


The length of side A'D' is 4 units.

Correct answer:


The length of side AD is 8 units.


Answer,

The image is larger than the pre-image.


The correct answers are B, C, and D

Answers

Answer:

The length of side A'D' is 4 units.

The length of side AD is 8 units.



The image is larger than the pre-image.

The correct answers are B, C, and D



Answer:

The correct answer is A B E

Step-by-step explanation:

The length of side AD is 8 units.

The length of side A'D' is 4 units.
The scale factor is 1/2.

The polynomial x^3+ px^2-x-2 has x-1 as a factor. what is the value of p?

Answers

Comparing x-1 with x-a then x=1
1^3+p*1^2-1-2=0
1+2p-3=0
2p=3-1
P=2/2
P=1
:.p=1

The polynomial [tex]x^3+ px^{2}-x-2[/tex] contains x - 1 as a factor.

The value of p = 2.

How to find the value of p?

Given:

The polynomial [tex]x^3+ px^{2}-x-2[/tex] contains x - 1 as a factor.

Comparing x - 1 with x - a then

Substitute the value of x = 1, then we get

[tex]$1^3+p*1^2-1-2 = 0[/tex]

[tex]$1^{3}+p \cdot 1^{2}-1-2=0$$[/tex]

Apply rule [tex]$1^{a}=1$[/tex]

[tex]$&1^{3}=1,1^{2}=1 \\[/tex]

[tex]$&1+1 \cdot p-1-2=0[/tex]

Multiply: p-1 = p

1+p -1-2=0

Group like terms

p+1-1-2 = 0

Add/Subtract the numbers: 1-1-2 = -2

p-2 = 0

Add 2 to both sides

p-2+2 = 0+2

Simplify

p = 2

Therefore, the value of p = 2.

To learn more about polynomial function

https://brainly.com/question/11434122

#SPJ2

what is the decimal of 3/8

Answers

Answer:

3/4 in decimal form= 0.375

have a nice day <3

given:

[tex] \frac{3}{8} [/tex]

to find:

the decimal form

solution:

to convert to decimal just divide the numerator by the denominator.

[tex] \frac{3}{8} [/tex]

[tex] = 0.375[/tex]

[tex]1sf = 0.4[/tex]

1/5(x + 0.5) + 5.24 = 3/2x + 7/10(x + 2.2)
Solve for x

Answers

Answer:

x=19/10

Step-by-step explanation:

abcdefghijklmnopqrstuvwxyz

Use this table to help answer the question. What would be the best description of the johns times rounded to quarter hours (15 minutes)


A) 8:45am - 5:00pm

B) 8:45am - 5:15pm

C) 8:30am - 5:15pm

D) 8:30am - 5:00pm

Answers

B) 8:45am - 5:15pm

Hope this answers your question!

Find the solutions to the following equation.
0 =(x-6)(x+4)

Answers

Answer:

x=6,−4

Step-by-step explanation:

1 Switch sides.

(x-6)(x+4)=0  

2 Solve for xx.

x=6,-4

Answer:

2−2−24

Step-by-step explanation:

i need helppxfjsryjfncbhzdjdzetjz

Answers

Answer:

hakjafhskjfhakjhf Y=mx + b

Step-by-step explanation:

Yep Yep thats how you do it

Answer:

xfjsryjfncbhzdjdzetjz

Step-by-step explanation:

Need help with this answer

Answers

Answer:

B, C

Step-by-step explanation:

B is the answer, and C is equivalent.

Hope This Helped!

25 POINTS HELP ME ASAP

Answers

Answer:

$14

Step-by-step explanation:

the cost for 2 shirts, prior to the discount, is $140

60% of 140 is 84

therefore, reduce 140 by 84 to get 56

you pay 70-56 more to get 1 shirt, or $14


Who can answer this?

Answers

Answer:

because of parallel lines it's 63

Given that < h (interior) and < k (exterior) are on the same side of the transversal, they are corresponding angles with the same measure.

Given that m < k = 63°, then m < h must also be 63°.

Therefore, the correct answer is 63°.

Please mark my answers as the Brainliest if you find my explanations helpful :)

Easy Math please help

Answers

Answer:

5, i think

Step-by-step explanation:

1. 3x = 15 and divide all by 3 (the number with a variable or letter

i’m pretty sure it is 5

A tugboat goes 72 miles upstream in 9 hours. The return trip downstream takes 4 hours. Find the speed of the tugboat without a current and find the speed of the current.

Answers

Step-by-step explanation:

72÷9= 8, so the boat was only doing 8mph going upstream (against the current) the return trip downstream only took 4 hours. 72÷18=4 meaning the boat was traveling at 18mph downstream (no current) there is a 10mph difference between upstream and downstream therefore the current had to be running at 10 mph. so the speed of the tug boat is 8mph without a current and the current is running at 10mph.

What is the difference in length between the shortest worm (3/4) and the longest worm (1 1/2) please help asap....

Answers

Answer:

3/4

Step-by-step explanation:

6/4(1 1/2) -3/4

Answer:

(1 1/2) - (3/4) = (3/4)

Step-by-step explanation:

The difference between the two worms is 3/4.

Pls help. Abcdefghijklmnopqrstuvwxyz?????

Answers

Answer:

72

Step-by-step explanation:

Answer:

72

Step by Step Explanation:

By definition, the angle labeled as x and the angle labeled as 2x-36, when added, they're equal to 180.

You set up an equation to solve for x:

x+2x-36=180

3x-36=180

3x=216

x=72

what is 0 - 9 equal

Answers

Answer:

no

0-9 is nine

coz zero have no value to subtaract 9 from zero

7 divided by $15.02. Round it by the nearest cent. QUICK!!

Answers

The answer would be 7/15.02= approximately 0.47

Easy points
Before you answer this question try and rotate your foot clockwise and write the number six. Hard right.

Math question now.
When I am 6 my brother is half my age. How old will my brother be when I am 70?

Answers

Their brother will be 67 years old because when they were six their brother was 3. They were three years apart.
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