Write the vertex form of a parabola that has the same shape as the parent graph of f(x) = x^2 but with the vertex point
at (5, 4).

Answers

Answer 1

Answer:

            f(x) = (x - 5)² + 4

Step-by-step explanation:

Parent graph: f(x) = ax²  and vertex (h, k) means the vertex form of a parabola that has the same shape: f(x) = a(x - h)² + k  

f(x) = x²        ⇒     a = 1

vertex: (5, 4)   ⇒   h = 5,   k = 4

Vertex form of a parabola that has the same shape as the parent graph of f(x) = x^2 and the vertex (5, 4):

                                                        f(x) = (x - 5)² + 4


Related Questions

Please help me!!!!!!!!

Answers

Answer:

WITH WHAT? IM WILLING TO HELP

Step-by-step explanation:


"Glenn has 4 less than twice as many hats as Mia."
1. 2h - 4
2. 2h <4
3. h² – 4
4. 4 - 2h

Answers

I’m not sure if I’m right but I think it’s 4.

Please help, Which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21?

Select each correct answer.


(−1, −6)

(−3, 3)

(7, 0)

(11, 3)

Answers

(-1, -6) and (11, 3) would both be correct

how do you get that answer​

Answers

By paying attention in your school np
The answer is the 3rd option:)

Match each polynomial to its factored form.
x^2+8x +16
x^3-64
x^2-16

(x-4)(x^2+4x+16)
(x+4)^2
(x-4)(x+4)

Answers

Answer:

x^2+8x +16 >> (x+4)^2

x^3-64 >> (x-4)(x^2+4x+16)

x^2-16 >> (x-4)(x+4)

Step-by-step explanation:

Each polynomial is matched to its factored form. These are the correct answers. I did this on EDGE!

Polynomial is an expression that consists of indeterminates(variable) and coefficients.

What are polynomials?

Polynomial is an expression that consists of indeterminates(variable) and coefficients, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

To know which polynomial to match, solve the factors.

A.) (x-4)(x²+4x+16)

[tex](x-4)(x^2+4x+16)\\\\=x(x^2+4x+16)-4(x^2+4x+16)\\\\= x^3 + 4x^2 + 16x - 4x^2-16x-64\\\\=x^3 -64[/tex]

Hence, (x-4)(x²+4x+16) will match x³-64.

B.) (x+4)²

[tex](x+4)^2\\\\= x^2+8x+16\\[/tex]

Hence, (x+4)² will match x²+8x+16.

C.) (x-4)(x+4)

[tex](x-4)(x+4)\\\\ = x^2-16[/tex]

Hence, (x-4)(x+4) will match x²-16.

Learn more about Polynomial:

https://brainly.com/question/17822016

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Find the percent change:

1) 40 to 25

2) 120 to 140

Answers

Answer:

1) 62.5%

2) 85.714285714286%

Step-by-step explanation:

Can i have brainliest plz :)

1) -37.50%
2) 16.666666666666664%

A man has two more nickels than dimes, and has $1.15 in total. How many coins of each kind does he have?

Answers

Answer:

9 nickels and 7 dimes

Step-by-step explanation:

Found the answer off some other dude

9 Nickles and 7 dimes!! i rly hope this helps!!! :))

I need help on this one can some help me

Answers

Answer:

the answer is yes I think

Step-by-step explanation:

Which statements are true regarding the diagram?

Answers

Answer:

the true statement is

A it is true

B it is false

C it is true

D it is true

E it is false

Step-by-step explanation:

if you didn't understand express in comment and good luck

The options 1, 3 and 4 are true statements.

What are complementary angles?

Two angles are said to be complementary angles if they add up to 90 degrees. In other words, when complementary angles are put together, they form a right angle (90 degrees).

From the diagram,

1) ∠GNH+∠HNJ=90°

So, ∠GNH and ∠HNJ are complementary angles

2) ∠JNK+∠KNL≠180°

∠JNK and ∠KNL are not supplementary angles

3) ∠KNL+∠LNM=90°

So, ∠GNH and ∠HNJ are complementary angles

4) m∠HNK+m∠KNL=180°

∠HNK and ∠KNL are supplementary angles

5) m∠MNG+m∠GNH=90°

So, ∠MNG and ∠GNH are not complementary angles

Therefore, options 1, 3 and 4 are correct.

To learn more about the complementary angles visit:

https://brainly.com/question/5708372.

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$2.98 for 15.5 ounces of oreos

Answers

Answer:

$46.19

Step-by-step explanation:

I WILL GIVE BRAINIEST IF CORRECT
Tucker measured the auditorium and made a scale drawing. The scale he used was 1 inch : 3 feet. The stage is 57 feet long in real life. How long is the stage in the drawing?

Answers

Answer:

19 inch

Step-by-step explanation:

57÷3=19

19 inches as the ratio is 1:3

WHAT IS 389.649 ROUNDED TO THE NEAREST TENTH

Answers

Answer:

389.6

Step-by-step explanation:

389.649 rounded to the nearest tenth is 389.6

Answer:400.000

Step-by-step explanation:ezez

Write the equation, in slope intercept form, for the line shown in the graph below.​

Answers

Answer:

y = -2x + 3

Step-by-step explanation:

The slope-intercept form is y = mx + b

m is the slope

b is the y-intercept

those are the only things you need to find when doing slop-intercept form.

Slope: Find 2 points on the line

ex. (0,3) ; (3, -3) I just chose ones that were not decimals

To find slope you need to do this :  y - y / x - x

you can chose any order, as long as the pairs are together, either first or second.

3 - (-3) / 0 - 3 is one way

6 / -3 is the slope

-3 - 3 / 3 - 0 is another

-6 / 3 is the slope

They are essentially the same.

you can simplify them to get -2

Y-Intercept:

this is really easy, just find where the line touches the y-axis

y-intercept = (0,3)

We have: slope = -2

               y-intercept = 3

Now, replace the m and b in the equation-

y = -2x + 3

hope this helps :)


help i’ll give u brainlest and lots of points

Answers

Answer: try answer c

Step-by-step explanation:

Answer:

I think the answer is d

Step-by-step explanation:

[tex] \frac{3 - ( -1)}{ - 4 - 2} = \frac{4}{ - 6} [/tex]

simplify it and the final answer will be -2/3

A girl's club held a fundraiser last year and raised $600 for the local soup kitchen. This year they raised $960. What is the percent change in the total amount raised by the girl's club? The percent change is 0.38%. The percent change is 0.6%. The percent change is 38%. The percent change is 60%.

Answers

Answer:

The percent change is 60%.

Step-by-step explanation:

given that the old amount is

$600

also the new amount is $960

the change is 960-600= $360

therefore the expression for percent change is given as

%change= new-old/old

%change= final-initial/initial

%change= 960-360/360

%change= 360/600

%change= 0.6

0.6*100

=60%

The percent change is 60%.

Answer:

D

Step-by-step explanation:

( 100 points and brainliest) Pls helpppp

Answers

Answer:

the answer is 10

Step-by-step explanation:

What is the distance between -13 and -4 on a number line?

Answers

It’s -9 because you subtract 9 from -4 to get -13

If you get this please help me

Answers

Dude I am so sorry but I'm just as confused as you are-

Answer:

36 in.

Step-by-step explanation:

the perimeter of the square is 4s and the perimeter of the triangle is 3(s+3).

since the perimeters are the same you can set them equal to each other and solve.

you should get s=9

substitute 9 into the square perimeter equation to get 36 in.

My teacher didn't go over this and we have to show work

Find three consecutive even integers such that the sum of twice the smallest number and three times the largest is 42.

Answers

Answer:

The three consecutive even integers are 6, 8, 10

Step-by-step explanation:

The difference between each two consecutive even numbers is 2Assume that the first number is x, then the other two numbers are x + 2 and x + 4

∵ The three consecutive even numbers are x, x + 2, x + 4

∵ The smallest number is x

∴ Twice the smallest number = 2x ⇒ (1)

∵ The largest number is x + 4

∴ Three times the largest number = 3(x + 4) = 3(x) + 3(4)

∴ Three times the largest number = 3x + 12 ⇒ (2)

∵ The sum of twice the smallest number and three times the largest is 42

→ Add (1), (2) and equate the sum by 42

2x + 3x + 12 = 42

→ Add the like terms

∴ 5x + 12 = 42

→ Subtract 12 from both sides

∴ 5x + 12 - 12 = 42 - 12

∴ 5x = 30

→ Divide both sides by 5

∵ [tex]\frac{5x}{5}=\frac{30}{5}[/tex]

x = 6

∴ The smallest integer is 6

∴ The middle integer is 6 + 2 = 8

∴ The largest integer is 6 + 4 = 10

The three consecutive even integers are 6, 8, 10

this is algebra 1 9th grade

Answers

I’m in 7th grade but learned this in 5th. I’m pretty sure it is option 4. Let me know if I am correct.

Find the perimeter of a rectangle with Area = x^2 + 8x + 12

Answers

Answer:

(x+6)*(x+2)

step-by-step explanation:

When the expression x^2 + bx - 24 is factored completely, the difference of the factors is 11. Find both factors if it is known that b is negative.

write the steps on the paper pleaseeee
i need it asap

Answers

Answer:

The two factors are (x + 3) and (x - 8)

Step-by-step explanation:

The given function is x² + b·x - 24

The difference between the factors = 11

The sign of coefficient b = Negative

Therefore, we have;

The factors as (x - c) and (x + d)

-b = d - c...(1)

d × (-c) = -24...(2)

(x + d) - (x - c) = 11

Which gives;

x + d - x  + c = 11

∴ d + c = 11...(3)

From equation (3), we have;

d = -24(-c) = 24/c

d = 24/c

Substituting the value of d in equation (3) gives;

d + c = 24/c + c = 11

24/c + c = 11

∴ c² + 24 = 11·c

c² + 24 - 11·c = 0

c² - 11·c + 24 = 0

(c - 8)·(c - 3) = 0

c = 8 or 3

From d + c = 11, we have, d = 3 or 8

Given that -b = d - c, therefore c > d and c = 8, d = 3

Therefore, the two factors are (x - 8) and (x + 3).

A 21 21-inch candle burns down in 12 hours. At what rate does the candle burn, in inches per hour?

Answers

Answer:

1.75 inches per hour

Step-by-step explanation:

21/12=1.75

SOMEONE PLZ HELP WILL GIVE BRAINLIEST

Answers

Answer:

Pre-Algebra, Algebra I, Algebra II, Geometry: homework help by free math tutors, solvers, lessons.Each section has solvers (calculators), lessons, and a place where you can submit your problem to our free math tutors. To ask a question, go to a section to the right and select "Ask Free Tutors".Most sections have archives with hundreds of problems solved by the tutors.

Step-by-step explanation:

Fun Station is having a sale. Video games are 20% off, board games are 50% off, and basketballs are $12. Let v represent the original price of a video game. Let b represent the original price of a board game. Write an equation to find the total sale price of 2 video games, 3 board games, and 1 basketball.

Answers

Answer:

y=1.6v+1.5b+12

Step-by-step explanation:

Let v represent the original price of a video game.

Let b represent the original price of a board game.

let y be the total

y=v+b+12

Video games are 20% = 100-20= 80%= 0.8v

 board games are 50% =100-50=50%= 0.5b

the total is now

y=0.8v+0.5b+12

the expression for the total sale price of 2 video games, 3 board games, and 1 basketball

y=2(0.8v)+3(0.5b)+12

y=1.6v+1.5b+12

Star Burger buys 10-pounds of meat for $27.50. How many pounds can be bought for $55.00?

Answers

Answer:

20-pounds

Step-by-step explanation:

If you multiply $27.50 by 2 then you get $55.00

($27.50*2=$55.00)

Answer:

2 pounds of meat

Step-by-step explanation: if you do 27.50 times 2 you get 55

what y = mx + b for m?

Answers

answer : m would be the slope



m = rise over run

Answer:

Answer:

y - mx = b ( second choice )

Step-by-step explanation:

given y = mx + b

Isolate b by subtracting mx from both sides

y - mx = b

Step-by-step explanation:

What's the equation of (-4,-6) and (-2,-7)

Answers

Answer:

y=-1/2x-8

Step-by-step explanation:

Use the formula y2-y1/x2-x1

-7 - (-6)= -1

-2 - (-4) = 2

-1/2 is the slope

Plug it in

-6=-4(-1/2)+b

-6=2+b

b=-8


Pleaseeeee helpppppp!!!!!

Answers

Answer: A, D, and E

Step-by-step explanation: you can solve them just by adding with no additional steps

A .. D .. E , hope that helped u out :)

What is the unit rate if the rate is 30 laps for 10 minutes

Answers

Answer:

1 lap per minute

Step-by-step explanation:

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