If you shift the quadratic parent function, f(x)=x2 , right 10 units, what is the equation of the new function?

Answers

Answer 1

Answer:

Step-by-step explanation:

The standard form of a quadratic is

[tex]y=a(x-h)^2+k[/tex] where h is side to side movement (it's also the x coordinate of the vertex) and k is the up or down movement (it's also the y coordinate of the vertex). If there is no up or down movement, the k value is 0. (We don't need to worry about the value for a here; it's 1 but that doesn't change anything for us in our problem). Movement to the right is positive, so we are moving +10. Filling that into our equation:

[tex]y=(x-(+10))^2[/tex] and simplified:

[tex]y=(x-10)^2[/tex]  That is the parent graph shifted 10 units to the right.


Related Questions

what is 5/8 as a mixed number​

Answers

It can’t be a mixed number

Answer:

What is 5/8 x 128? Answer: This is the same as working out 5/8 of 128. Do this by dividing by the bottom numbers, and multiplying by the top number. So 128 divided by 8 is 16, 16 times 5 is 80.

Michael is going to the amusement park, where he has to pay a set price of admission
and another price for tickets to go on each of the rides. The total amount of money
Michael will spend is given by the equation y = 3x + 28, where y represents the
total amount of money, in dollars and cents, and a represents the number of rides
Michael goes on. What could the number 3 represent in the equation?

Answers

28- Michael and Lucifer made up with god I got my car and my phone issues was on the phone and I’m still working but it was just my way of my car to be going on my way to my moms and

Hallar la ecuación general de la recta que pasa por el punto ( -2 , 3 ) y es paralela a esta recta -3y+2x=1.

A.
-2x-3y-13=0

B.
2x+3y-13=0

C.
-2x+3y+13=0

D.
-2x+3y-13=0

Answers

15 bjvggguj hhh guy guy yu

What is the measure of the length of AB

Answers

Answer:

5

Step-by-step explanation:

AC = AB + BC

16 = x+1 + x+7

Combine like terms

16 =2x+8

Subtract 8 from each side

16-8 = 2x+8-8

8 = 2x

Divide by 2

8/2 = 2x/2

4 =x

We want to find AB

AB = x+1 = 4+1 = 5

the measuring is equal to 5 do to the whole length being 16 when adding the two equations together and equaling it to 16 you can solve the equation to equal 5.

Solve for x
-12 = 4(x – 5)
X =

Answers

Answer:

-12=4x-20

4x=12+20

4x=32

4 = 4

x=8

Answer:

[tex] - 12 = 4(x - 5) \\ - 12 = 4x - 4 \times 5(bracket \: multipiction) \\ - 12 = 4x - 20 \\ - 12 + 20 = 4x\\ 8 = 4x \\ x = \frac{8}{4} = 2 \\ x = 2 \\ thank \: you[/tex]

hi i need help with this 2 questions ASAP its due in 5 minutes and I'm begin from the 24 questions HELLLLLPPPPP

Answers

Answer:

6-1 7-3

Step-by-step explanation:

The binomial expression (x+2) (x+3) can be rewritten by using the distributive laws as x(x+3) + 2(x-3)
x(x+2) - 3(x+2)
x(x+3) + 2(x+3)
x(x+3) + 2(x+3)

Answers

Answer:

my answer is x(x+3) + 2(x - 3)

Answer:

thanks for the information

Step-by-step explanation:

(6√2)(-3√5)
whats the answer

Answers

Answer:

- 18[tex]\sqrt{10}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Given

(6[tex]\sqrt{2}[/tex] )(- 3[tex]\sqrt{5}[/tex] )

= 6 × - 3 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{5}[/tex]

= - 18 × [tex]\sqrt{10}[/tex]

= - 18[tex]\sqrt{10}[/tex]

The answer is -18,/10

Please help me answer 23, 24, 25 and 26!!!

Answers

Answer:

23. c

24.b

25. box 2

26. 48, 26

Step-by-step explanation:

Plz help me tyvm :/
10 points
(no links)
(no wrong or guessed answers)

Answers

Answer:

2y

Step-by-step explanation:

2x-3=2y

2x-2y=3

Answer:

x = 3, y = 1.5

Step-by-step explanation:

Given the 2 equations

x + 2y = 6 → (1)

2x - 3 = 2y → (2)

In (2) subtract 2y from both sides and add 3 to both sides

2x - 2y = 3 → (3)

Adding (1) and (3) term by term will eliminate the y- term

3x = 9 ( divide both sides by 3 )

x = 3

Substitute x = 3 into either of the 2 equations and solve for y

Substituting into (1)

3 + 2y = 6 ( subtract 3 from both sides )

2y = 3 ( divide both sides by 2 )

y = 1.5

Mustafa is flying his kite, and Ana is watching from 20 m away, as shown. From Ana's perspective there is an
angle of 109 between Mustafa and his kite. The length of the string between Mustafa and the kite is 46 m.
Kite
46 m
109
?
Mustafa
Ana
20 m
From Mustafa's perspective, what is the angle between Ana and the kite?
Do not round during your calculations. Round your final answer to the nearest degree.

Answers

7.80 because it’s is a number everyone know

Answer: From Mustafa's perspective, there is a 47\degree47°47, degree angle between Ana and the kite.

Step-by-step explanation: Khan Academy

Which ratio is not equivalent to 3:6?
a. 1:2
b. 4:10
c. 10:20
d. 15:30

Answers

B. 4:10 is the answer that you are looking for

Answer:

B. 4:10

Step-by-step explanation:

A. 3:6 is equal to 1:2, which is our given answer for A.

B. Has no equivalent to 3:6

C. 10:20 can be simplified to 1:2 which 3:6 can also be simplified to… giving our answer.

Finally, D. You can multiply equally by 5 to get 15:30 and divide to get back to 3:6… it’s equal ;)

Hope this helps, good luck!

The pyramid ABCDE has a square base. the pyramid is 20cm high and each sloping edge measures 30cm. calculate the length of the sides the base

Answers

Answer:

44.8 cm

Step-by-step explanation:

Vertical height (h) = EM = 20 cm

Slant height (l) = 30 cm

This two heights form a right angle at the interception at the base. Thus, we have a right angle triangle.

The length of the sides of the base = 2 × the base of the right triangle

✔️Use Pythagorean theorem to find the base of the right triangle formed. Thus: c² = a² + b²

a = base of the triangle

b = h = 20 cm

c = l = 30 cm

Plug in the values

30² = a² + 20²

a² = 30² - 20²

a² = 500

a = √500

a = 22.4 cm

✔️length of the sides of the base = 2 × the base of the right triangle

= 2 × a

= 2 × 22.4

= 44.8 cm

What is the solution to the equation
[tex] \frac{1}{4} x + 2 = - \frac{5}{8}x - 5 [/tex]

Answers

Answer: 56/3

Explanation: hope this helps

Which ordered pair (a,b) is the solution to the given system?

Answers

Answer:

1,3 3,1

Step-by-step explanation:

If xy= 180 and HCF (x,y) = 3, then find the LCM (x,y)
tell the answer of LCM (x,y)​

Answers

Answer:

Step-by-step explanation:

LCM×HCF= Product

LCM×3=180

LCM=180/3=60

Broody is makeing trailmix for a hike he is takeing some friends. He used 6 cups of peanuts,4 cups of cashoe, 3 cups of choclate chips and 2 cups of raisins.Be mixed it all up and put a equal amount of trail mix into 5 bags.How many cups of trail mix did he put in each bag?

Answers

Answer:

The answer is 3.

Step-by-step explanation:

To answer this, you have to find the total amount of cups he had to begin with. You add the cups of peanuts, cashews, chocolate chips, and raisins together, which equals 15 cups. Then, he divided it evenly into 5 bags, which means he put 3 cups of trail mix into each bag.

A school raises £468 for their chosen charity by dressing up.Tge money raised is increased by 42% by holding a cake sale.The headtheacher makes up the total sum to £700.How much does the headteacher donate?​

Answers

Answer:

35.44

Step-by-step explanation:

(1 +.42)*468 = 664.56

if you add 35.44 you would have 700

Mhanifa or Anyone answer this

Answers

Answer:

$8.99

Step-by-step explanation:

14.38 ÷ 2 = 7.19

7.19 + 1.8 = 8.99

Hope this helps

This is the answer for the question and working

Fill in each box to make the statements true.

The ____ function is written f(x) = ⌊x⌋ and rounds numbers ___ to the nearest integer. The graph of f(x) = ⌊x⌋ includes the point (174, ___ ).

Answers

1. 5 2. 7 3. 8 4. 8

Ana María tiene $ 30.000 en su cuenta vista y retira $ 18.000 para un pago. Luego el Banco paga un cheque de $ 26.000 con cargo a la cuenta de Ana María y finalmente le descuentan una comisión por mantenimiento de la cuenta equivalente a $ 2.500. ¿Cuál es el saldo de su cuenta?

Answers

Answer:

El saldo de la cuenta de  Ana María es de -$16.500 , es decir, Ana María debe al banco $16.500.

Step-by-step explanation:

Ana María tiene $ 30.000 en su cuenta vista y retira $ 18.000 para un pago. Para saber la cantidad de dinero que posee en su cuenta luego de retirar el dinero debes realizar la diferencia (resta) entre lo que tiene inicialmente y la cantidad que retira:

$30.000 - $18.000= $12.000

Ahora el Banco paga un cheque de $ 26.000 con cargo a la cuenta de Ana María, por lo que debe restarse la mencionada cantidad a la suma de dinero que Ana María posee luego del retiro de dinero [un cheque con cargo a la cuenta de una persona indica que para el titular de la misma significa una salida de fondos, y por tanto, una disminución de su saldo]:

$12.000 - $26.000= - $14.000

Finalmente le descuentan una comisión por mantenimiento de la cuenta equivalente a $ 2.500, por lo que se debe realizar la diferencia entre la cantidad calculada previamente y $2.500:

- $14.000 - $2.500= -$16.500

El saldo de la cuenta de  Ana María es de -$16.500 , es decir, Ana María debe al banco $16.500.

(2a^6-6a^3)^2 expand and combine like terms

Answers

The answer is 4x^12-24x^9+36x^6

For a more detailed answer, check the picture below.

The fully expanded and simplified expression is:

[tex]4a^12 - 24a^9 + 36a^6.[/tex]

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To expand [tex](2a^6 - 6a^3)^2[/tex], we can use the formula:

[tex](a + b)^2 = a^2 + 2ab + b^2[/tex]

with [tex]a = 2a^6[/tex] and [tex]b = -6a^3:[/tex]

[tex](2a^6 - 6a^3)^2 = (2a^6)^2 + 2(2a^6)(-6a^3) + (-6a^3)^2[/tex]

[tex]= 4a^12 - 24a^9 + 36a^6[/tex]

Thus,

The fully expanded and simplified expression is:

[tex]4a^12 - 24a^9 + 36a^6.[/tex]

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

PLS HELP ASAAPPPP!! will mark brainliest if i can !!

Answers

Answer:

2nd option

Step-by-step explanation:

The discriminant b² - 4ac tells us about the nature of the roots

• If b² - 4ac > 0 then 2 real and distinct roots

• If b² - 4ac = 0 then 2 real and equal roots

• If b² - 4ac < 0 then the roots are not real

Here b² - 4ac = 15 > 0

Then there are 2 real and distinct roots

x = 2 and x = - 3 are possible solutions to the equation

Answer:

option b) x = 2 and x = -3

Step-by-step explanation:

If discriminant is greater than zero, then the quadratic equation will have two solutions.

If discriminant is equal to zero, then the quadratic equation will have only one solution.

If discriminant is less than zero no solution

Here the discriminant is 15 , which is greater than zero.

Therefore we will have to solutions.

There is only one option with two solutions for x.

So option b is the answer.

In order for the parallelogram to be a
rhombus, x = [?].
(5x - 8°
(2x + 16)°

Answers

Answer:

8

Step-by-step explanation:

5x-8 = 2x+16

Move 2x to the left side and you get 3x-8 = 16

Move -8 to the right side and you get 3x = 24

Divide 3 on both sides and you get x = 8

Fill in the blank.

7.95x10^7 = [ ? ]x 10^6

Answers

Answer:

79.5

Step-by-step explanation:

10^7 = 10^6 * 10

then 10*7.95 = 79.5

can you plz answer plz!?

Answers

Answer:

1. mode

2. median, mode, mode interval

3. stem and leaf graph

4. not sure (try using a median calculator)

5. 80 or 90 (not exactly sure)

Step-by-step explanation:

Circumference of the circle with the radius 10mm? Use pi 3.14

Answers

Answer:

62.8 mm

Step-by-step explanation:

pie = 3.14

radius = 10 mm

circumference of a circle = 2πr

=2*3.14*10

=62.8 mm

Answer: 62.8 mm You

Express 120 as the product of its prime factors.
Write the prime factors in ascending order.

Answers

Answer:

2 x 2 x 2 x 3 x 5

Step-by-step explanation:

The first and smallest prime number that can be divisible by 120 is 2; 120/2 = 60, 60/2 = 30, 30/2 = 15; and the smallest prime number divisible by 15 is 3; 15/3 = 5; and the smallest prime number divisible by 5 is 5; 5/5 = 1.

hence, we have 2 x 2 x 2 x 3 x 5 = 2³ x 3 x 5

does anyone know how to do this

Answers

9514 1404 393

Answer:

  y = -1/2x +4

Step-by-step explanation:

The y-intercept is where the line crosses the y-axis, at y=4.

The slope is found by following the line to the right until it meets another grid line crossing point. That is 2 units to the right and down 1 unit.

The slope is ...

  m = "rise"/"run" = -1/2

Then the slope-intercept equation is ...

  y = mx + b . . . . . slope m, y-intercept b

  y = -1/2x +4

A rectangle I'd formed by placing two identical squares side by side. The area of the rectangle is two centimeters squared. What is the perimeter of one square.

Answers

Answer:

4cm

Step-by-step explanation:

first find the length of one side of the square

let x represent that

making 2x length of the rectangle

area of a rectangle=length x width

2cm²=2x×x

2cm²=2x²

2cm²/2=2x²/2

1cm²=x²

1√cm²=√x²

1cm=x

perimeter of a square=4xside

4x1cm

4cm

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